American Economic Association Decentralization, Hierarchies, and Incentives: A Mechanism Design Perspective Author(s): Dilip Mookherjee Reviewed work(s): Source: Journal of Economic Literature, Vol. 44, No. 2 (Jun., 2006), pp. 367-390 Published by: American Economic Association Stable URL: http://www.jstor.org/stable/30032252 . Accessed: 08/02/2012 05:42 Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. American Economic Association is collaborating with JSTOR to digitize, preserve and extend access to Journal of Economic Literature. http://www.jstor.org Journal of Economic Literature Vol. XLIV (June 2006), pp. 367-390 Decentralization, Hierarchies, and Incentives: Design A Mechanism Perspective DILIPMOOKHERJEE* Separationof ownershipfrom management,multidivisionalfirm organizations,delegation of productiondecisions to worker teams, delegationof pricing and advertisingdecisions to retailfranchisers, relianceon intermediariesin trade orfinance, and distributionof regulatory authority across different agencies represent examplesof organizationsthat delegate and distribute decision-makingauthority instead of centralizingit. This paper reviews literature on costs and benefits of delegated decision making in hierarchicalorganizationsor contracting networkswith regard to problems of incentives and coordination.It starts by describing incentive and coordinationcosts of delegation in simple canonical examples of hierarchieswhere both informationand incentives of differentdecisionmakersdiffer One class of models pertain to contexts where the classical Revelation Principle applies, i.e., where costs of contractual complexity, information processing, or communication are absent, agents do not collude, and the mechanismdesigner can commit to the mechanism. Delegationmay conceivablyentail a loss of controland coordinationarisingfrom the divergence of informationand incentives. Sufficientand necessary conditionsfor this loss to be mitigated entirely include risk neutrality,top-down contracting,and monitoring of transfers or production assignmentsbetween subordinates.The next class of models introduces communicationcosts that restrict the performanceof centralizedarrangementsrelative to delegationowing to a resultingloss offlexibility, which has to be traded off againstpossible control losses of delegation. Finally, consequencesof collusion among agents is discussed, which typically enlarge the range of circumstancesunder which delegationcan attain optimal second-best outcomes. The paper concludes with a discussion of the relevance of this theoretical literature to recently emerging empirical studies of industrial organizations where delegated decision making plays an important role: adoption of innovative human resourcemanagementpractices, new informationtechnologiesand retailfranchising. 1. Introduction the roots of this topic go back to discussions of the appropriaterole of the state in a marAclassic topic in economic theory is the ket economy by the Mercantilistsand Adam organizationof economic activity.While Smith's Wealth of Nations, it became the * issue in the 1930s debates concerncentral Mookherjee: Boston University.An earlier version of this paper was presented at the Summer Meetings of the the ing possibilityof efficient resource alloEconometric Society at Northwestern University, June cation in a socialisteconomy.In this debate, 2003, in the session on the Theory of the Firm, under the it was recognized that informationrelevant title "Delegation and Contracting Hierarchies: An Overview." I am very grateful to Victor Aguirregabiria, to efficient resource allocationis dispersed Roger Gordon, John McMillan, Marc Rysman, Masatoshi throughoutagents in an economy.A decenTsumagari, and anonymous referees for their comments tralized market economy distributes deciand suggestions, as well as to Sandeep Baliga and Rakesh Vohrafor their support and encouragement. sion-makingauthorityto individualagents, 367 368 Journal of Economic Literature, Vol. XLIV (June 2006) who are motivatedby their self-interestand are coordinatedby marketprices. This was contrastedwith a socialist economy where decision makingauthorityis vested in a central planner, on the basis of information communicatedby individualagents. Leonid Hurwicz (1972a, 1972b, 1973, 1986) has providedexcellent surveysof this early literatureand its subsequentoffshoots culminatingin the contemporarytheory of mechanism design. The comparativeperformanceof these specificdecentralizedand centralizedresourceallocationsystemswere sought to be comparedon the basis of the extent of communicationand information processingthey entail, and the incentivesof individualagentsthey give riseto. Arguments pertainingto the superiorityof the decentralized market-basedsystem relied on the fact that their communicationsrequirementsare minimal (representedby the dimensionality of the message space for communication), the factthatit distributestasksof information processingacrossagentsin the economy,and is consistentwith self-interestedbehaviorof agents.On the other hand, a centralizedsystem maybe betterequippedto combatweaknesses of the decentralizedsystemin dealing with problemsof externalities,public goods, increasingreturns,and distributionalequity. In environmentswhere these latterproblems are significant, hybrid systems combining elements of centralizationand decentralization have been studied,e.g., in the literature on economic planning(Edmond Malinvaud 1967, GeoffreyM. Heal 1971). Versionsof the grandquestionof comparative economic systemscontinue to be relevant to a variety of modern areas in economics.An exampleis the internalorganization of large firms, to which A. Michael Spence (1975) and Roy Radner(1992) provide excellent introductions.A large corporationis in manyways a miniatureeconomy, in the organizationof which the question of centralizationversus decentralizationis fundamental.Should decisionsconcerningproduction, procurement,pricing, distribution, budgeting, and compensationsbe centralized in a corporateheadquarteroffice akin to a socialisteconomy?Or shouldthe corporation be organized into multiple divisions that operate as relativelyindependent cost, profit, or investment centers, whose managers are delegated substantial authority over production,pricing,procurement,and resource allocation decisions pertaining to their respective divisions? Should human resource managementsystems be based on delegationof problem-solvingon production shop floorsto teams of productionworkers? Comparative systems of organization of business enterprises-e.g., the evolution of the multidivisionalstructurein U.S. corporationsin the early twentieth century,comparisons between American and Japanese business organizations, the adoption of interaction-orientedratherthan control-oriented human resource management systems-have been described in these terms (e.g., Alfred D. Chandler 1962; Masahiko Aoki 1990; Casey Ichniowskiand Kathryn Shaw 1999;Jon Gant,Ichniowski,and Shaw 2002; Ichniowski, Shaw, and Giovanna Prennushi1997). Similar issues arise in the literature on regulation of public utilities (David P. Baron 1985; Baron and David Besanko 1992; Richard J. Gilbert and Michael H. Riordan1995). For instance, should regulation of all utilities be centered in a single federal regulatoryauthorityor should it be distributedbetween several state regulatory bodies possessing overlappingjurisdictions with a federal regulator?Alternatively, should procurement of raw materialsby a regulated utility company from an upstreamfirm be delegated by regulatorsto the utilityor shouldthe transactionwith the upstream firm also be subject to regulation? Such organizationalquestions inherently raise similar issues of the optimal degree of decentralization activity. of economic Modernindustrialorganizationtheoryalso raisesquestionsconcerningthe organization Mookherjee:Decentralization, Hierarchies, and Incentives of contracting relationships and networks among differentmarketagents. In procurement contracting,shouldthe purchasercontract with a single "prime" contractor, delegatingthe responsibilityof subcontracting with diverse upstream suppliers? Or should she contract directly with downstreamand upstreamsuppliers,and personally coordinate their actions? Should a manufacturerdelegate decisions over distribution, advertising,and pricing to wholesalers and retailers? Should investors contractdirectlywith borrowersor delegate authority to financial intermediaries to negotiate loans and supervise the latter? Changesin the natureand extent of reliance on intermediariesappears to be occurring within firms as well as procurement contractingin recent years. Corporate"reengineering" involved elimination of middle layers of management in order to create more direct links between customers, top managers,and productioncenters (Michael M. Hammerand JamesChampy1993, Erik Brynjolfsson and Lorin M. Hitt 2000). "Supplychain management"involves more extensive outsourcingand reduced reliance on intermediaries. Comparisons between centralized and decentralizedsystemsof economicorganization therefore continue to be relevant to manyareasof contemporaryconcern.In this article,I providean overviewof recent theoreticalresearchon this questionbased on an applicationof mechanism design theory. I shall focus on comparisonsbetween a centralized resource allocation "revelation" mechanism where a central "principal" makes decisions concerningproductionand distribution based on communication received from "agents,"with mechanisms where decision-makingauthorityis delegated to the latter. Most of the literaturehas focused attentionwhere the patternof delegation is hierarchical,i.e., where agents are organizedas nodes in an invertedtree, with the "manager"of any divisionalbranchdelegated authorityover subordinatebranches. 369 The purposeof this theoryis to throwlight on the costs and benefits of decentralization from an incentive standpointand compare performanceof differentpatternsof decentralization.For the most part,the literatureI describe has abstractedfrom costs of communicationor informationprocessing.This has largely been driven by the need for tractability:existing theories of mechanism design typicallyfocus on each of these phenomenain isolation.For example,team theory (Radner and Jacob Marschak1972) or the message space literature(Hurwicz1960, 1972b; Kenneth Mount and Stanley Reiter 1974; Thomas Marschak and Stefan Reichelstein1995, 1998)concernthemselves only with costs of communication.Theories of costly information processing (Radner 1993; Patrick Bolton and Mathias Dewatripoint1994; Mount and Reiter 1995; Timothy van Zandt 1996, 1997) have abstractedentirelyfromincentiveconsiderations. Nevertheless,I shallarguein section 6 below that, in order to have useful applications, the theoryneeds to addressaspectsof informationtechnologyandincentivessimultaneouslywithin a common framework.To this end, I shall include discussionof some models which incorporate communication costs as well as incentiveproblems. A central result in the theory is the socalled "RevelationPrinciple,"which relies for its validityon the absenceof communication or informationprocessingcosts. Under some additionalassumptions,this Principle establishes that centralized control cannot be dominated by any delegation arrangement. Specifically,it demonstratesthat the outcome of any decentralized organization can be mimickedby a centralizedorganization in which the responsibilityof each agent is merely to communicatetheir information to a central authorityand awaitinstructions on whatto do. This argumentcorrespondsto the claimsof OskarLange and Abba Lerner in the 1930s socialismdebate that incentive properties of the decentralizedmechanism can be replicated by a suitably designed 370 Journal of Economic Literature, Vol. XLIV (June 2006) * Abilityof principalto commitupfrontto centralizedmechanism.1Conversely,one can view Hayek'scounterarguments in the sociala mechanismandnot renegotiateit later. ism debate that excludingconsiderationsof In light of this Principle, there are two communicationcost or limited information possible ways of constructing a theory of processingcapacityof the centralplanneris delegation and contractual hierarchies. like throwingout the babywiththe bathwater. The first approachstayswithinthe frameHow then does this theory succeed in work of the RevelationPrincipleand studies conditionsunderwhich delegationis an optithrowingany light on the centralizationversus decentralizationquestion? Its principal mal mechanism, i.e., where a hierarchical virtue is to provide an analysisof the potenmechanismwithdelegationreplicatesthe pertial costs of decentralizationfrom an incenformanceof the best centralizedmechanism. tive standpoint, while abstractingfrom its Thisapproachhasbeen pursuedby Baronand Besanko(1992), Nahum D. Melumad,Dilip principalvirtues.These costs arise from the fact that agents that are delegated decision- Mookherjee,and Reichelstein(1992, 1995), and Sergei Severinov(1999), among others. making authority act in their own selfrather than of the as The mainproblemwith this approachis that interest, organization a whole or of the central designer. the conditionsmaybe restrictiveand, even if Accordingly,it gives rise to a problem of they are not, it cannotexplainwhy delegation "loss of control" or "abuse of power." In can be superiorto centralization. contexts where these incentive problems The second approach departs from the can be overcome by judicious design of the comfortable premises of the Revelation delegation arrangement(i.e., incentives of Principle. Different theories can be classito whom has been agents power delegated), fied by the precise avenueof departurefrom the presumption is that decentralization the set of assumptions underlying the will be the superior organizationalmode RevelationPrinciple: to its with to com(a) Informationprocessing costs (Radner economy respect owing munication cost and distributionof infor1993; Mount and Reiter 1995; Bolton mationprocessingresponsibility.Whereasif and Dewatripoint 1994; van Zandt the incentive costs are substantial, the 1996, 1997) choice between centralizationand decen(b) Costly communication,contract comtralizationwill involve a trade-off between plexity (Melumad, Mookherjee, and costs and Reichelstein 1992, 1997; Jean-Jacques (incentive) (communication, informationprocessing)benefits. Laffont and David Martimort 1998; To furtherexplainthe differentbranchesof Ilya Segal 2001) the theoryand the organizationof this paper, (c) Collusionamongagents(SandeepBaliga it helps to review the differentassumptions and TomasSjostrom1998; Laffontand Martimort 1998; Antoine Faureunderlyingthe RevelationPrinciple2: * Absence of: (1) costs of communication Grimaud,Laffontand Martimort2003; between agents and principal,(2) inforGorkemCelikforthcoming; Mookherjee mationprocessingcostsfor the principal, and MasatoshiTsumagari 2004) and (3) contractcomplexitycosts. (d) IncompleteCommitmentand Renego* Absence of collusionamongagents. tiation (Paul Beaudry and Michel Poitevin 1995; Poitevin 1995; Wouter Dessein 2002; Faure-Grimaud and 1 For the most general statement of this Principle, see For Martimort2001; Baliga and Sjostrom B. a wider see discussion, Roger Myerson (1982). Oliver Williamson (1985). 2001), IncompleteContracts(Philippe 2 In what follows we refer to the "principal"as the de Aghion and Jean Tirole 1997; Andreas facto designer and residual claimant, and "agents"as all Roider2003). others with a production or informationgeneration role. Decentralization, Hierarchies,and Incentives Mookherjee: In this paper,I will present an overviewof the firstapproach,and avenues(b) and (c) of the second approach.The emphasiswill be on papersthat deal with the costs and benefits of delegationrelativeto centralization,in which incentiveconsiderationsplayan active role. I thus exclude discussionof avenue (a) since it has so far abstractedfrom incentive considerations.I do not discuss the important avenue (d) based on incomplete commitment mainlybecause an excellent survey of this is alreadyavailablein Poitevin(2000). I also exclude the literature based on incomplete contractswhich involves ad hoc restrictionson the set of allowablemechanisms.3These restrictionshave been sought to be rationalizedby some authorsowing to the possibility of contract renegotiation. Segal (1999), for instance, explores conditions under which "simple"contractswhich do not incorporateanycontingenciesachieve the same performanceas optimalcontingent contracts in a bilateral trading problem, when contractscan be renegotiated.The literatureI discussin the first part of this survey (as well as the second part dealingwith collusion) poses the analogous question of when "simple" but commonly observed schemes such as delegated decision-making are optimal. Clearly, there are some similarities between the literature surveyed here and the literature exploringthe foundationsof incomplete contracts.Both search for additional constraintson contracts (apart from standardnoncooperativeincentive compatibility constraints)that rationalize"simple" real-worldmechanisms.Both are concerned about the allocation of decision rights, though they use somewhat different terminologies: decentralizationratherthan property rights.Nevertheless,the two literatures differ in some importantdetails. The literature surveyedhere concerns a static context 3 See Tirole (1999) and the symposium on incomplete contracts in the Review of Economic Studies 1999 for a critical review of this literature. 371 with a single principaland manyproduction agents privately informed about their respective costs. Mechanismsmay be constrainedwith regardto extent of communication among agents, or by the presence of collusivebehavior.The literatureon foundations of incomplete contracts deals instead with bilateraltradesbetween two agentsthat make ex ante relation-specificinvestments under conditions of symmetricinformation that cannot be verified by third parties. Contractsmaybe subjectto the possibilityof ex post renegotiation. Returning to the theme of this essay, some additional caveats are in order. The literatureI shall discuss does not seem relevant to the question of boundaries of the firm, where the incomplete contractframework seems more fruitful.5 It therefore applies to delegation arrangements that may or maynot be intrafirmand has little to say on whether and why firms should outsource some production rather than inhouse. Agents in this frameworkcannot be distinguishedby whether they happen to be within or outside a firm. Moreover, my intention is to provide a selective guide to the literature that I am personally familiar with, rather than an exhaustivesurvey.So importantpapers may havebeen missedor glossedover.I alsowant to keep the overviewbrief and readable,so will eschew formalismof any kind and try to communicatethe essence of key resultsand ideas. Those interested in more detailed statementsof model assumptionsand results should consultthe originalsources. Section 2 sets out the canonicalsetting of production with multiple agents privately informedabouttheirown costs, employedin most of the literature. Section 3 describes models belonging to the "first"approach 4 Of course, these comparisonspertain to polar types of models studied in the two literatures. Baliga and Sjostrom (2001) is an example of a principal-multiagent model where decentralization turns out to be optimal owing to the possibility of contract renegotiation. 5 For an overview, see Oliver Hart (1995). 372 Journal of Economic Literature, Vol. XLIV (June2006) described above, which explore conditions for optimalityof delegationwithinthe traditional confines of the RevelationPrinciple. Section 4 then discusses avenue (b) within the second approach,based on costs of communication or contract complexity, while section 5 is devoted to implicationsof allowing agents to collude. Section 6 assesses the potential relevance of this literature to empirical industrial organizationresearch. Finally,section 7 concludeswith a summary of the principalinsightsand shortcomingsof this literature, and suggests directions for future research. 2. The CanonicalSettingof Joint Productionwith AdverseSelection Most of the literaturefocuses on models where agents have private information about their costs, ratherthan moralhazard, and we will do the same. The typicalmodel is usually of the following kind. There is a single principal (P), one or two producing suppliers(A1,A2),plus one manager/middleman/monitorM who plays no role in production. The gross benefit of P depends on joint output whose production depends on contributionsor supplies of the two agents, described by the production function q = f(ql,q2), where Ai producesqi at privatecost Ci(qi,O,)satisfying a set of single-crossing conditions.6 The parameter O6affects the productivityor cost of the agent and Ai is privately informed about realization of O. The cost shocks 01,02are independentlydistributed,and satisfya monotonehazardrate condition that allowsone to ignore nonlocal incentive constraintsin the classicalsetting. The manageror monitorM observessignals 71,172which are informative about 0,02 respectively.P, A1,A2are risk neutral,while M is risk neutral or risk averse. Outside 6 The key condition is that marginalproductioncosts are increasingin 6,, but these are usuallysupplemented by conditions that total costs and the rate of increase of marginal costs are also increasing. For the most general statement, see Melumad, Mookherjee, and Reichelstein (1995). options for all agents are normalizedto 0. Agents observetheir costs priorto contracting and so earn informationrents. The main trade-off in designing contracts or delegation is between productive efficiency and payinginformationrents to agents. Many papers employ considerably restrictedversionsof this model, e.g., where there is one productive agent rather than two, or particularproduction functionse.g., perfect complementaritybetween ql,q2, indivisibilityof inputs or outputs,linearcost functions,or two point distributionsfor cost shocksand signals. The role of M in the organizationis informational "expertise"relative to the principal, acquiredeither throughprior expertise or from ability to monitor cost realizations of the agents. The process by which M acquires this information is treated as exogenous;the theory exploresthe implications of such informationalspecialization. This contrastswith an earlier literature on contracting hierarchies (e.g., based on Guillermo A. Calvo and StanislawWellisz 1978) focused on moral hazardin supervision, but not on delegation questions.7 Some of the interesting questions addressed by the theory concern the relative desirabilityof delegating to M rather than the productive agents themselves. This concerns the widespread phenomenon of "management" as a specialized activity, distinct from "production" (as argued persuasively by Radner 1992). Accordingly,the organizationalalternatives usually compared include the following (see figure 1): 7 In that literature, supervisors are not delegated any authorityto contract with those they supervise. The focus was on whether moral hazard in supervision creates organizational diseconomies of scale. Indeed, Calvo and Wellisz and others found that explaining scale diseconomies through this channel was typicallynot as straightforward has had been originally imagined, e.g., by Williamson (1967). The literature on delegation described here in contrast does provide conditions for emergence of "controlloss" in hierarchies under suitable conditions, so can be thought of as an alternative formalization of this phenomenon. 373 Mookherjee:Decentralization, Hierarchies, and Incentives p p A, A1 A2 A2 CENTRALIZATION (C) DELEGATION TO SUPPLIER (DS) P P M A1 A2 M A1 A2 DELEGATION TO MANAGER MIDDLEMAN (DM) CENTRALIZATION WITH SUPERVISION (CM) Alternatives Figure1. Organizational Centralization without Supervision (C): P retains all control, contracts and communicateswith A1,A2 Centralization with Supervision (CM): P retainsall control, contractsand communicateswith A1,A2and M Delegation to Supplier (DS): P contracts onlywithA1,delegatesauthorityover contractingwith A2 Delegation to Manager/Middleman (DM): P contractsonly with M, delegates authorityto M overcontractingwithA1,A2. Manypaperspose the questionof delegation versus centralizationas DS versus C; others pose it as DM versus CM; yet others as DM versus C. Accordinglyto understand the relation between different papers, we shall make this explicit in discussing their resultsusingthis terminology.It is alsouseful to clarifythatwe use the term "delegation" to connote a setting of hierarchicalcontracting with multipleverticallayers,where contracting and communicationare restricted only between adjacentlayers.For instance,in DS, P does not contractor communicatewith the subcontractorA2at all. With only two productiveagents, most of the literaturecomparesthe centralizedtwo layerhierarchywith a three layerone where the agent at the intermediatelayer is delegated authorityover contractingwith those at the third layer.The main focus is thus on problems of vertical control. Problems of horizontal coordination across different branchesof a hierarchyinherent in delegation have therefore received little attention (with few exceptions, described in section 3.4). Issues concerningdesign of more complex hierarchies(e.g., span of controlversus number of vertical layers, trading off horizontal coordination problems and vertical control loss), or comparisonwith nonhierarchicalformsof delegation,must awaitfuture research. Additional details concerning delegation concernexactlywhatis observedby the principal and the sequence of contractingin the hierarchy.Insofaras they help determinethe 374 Journal of Economic Literature, Vol. XLIV (June 2006) natureof controlloss from delegation,these will be described in subsequent sections. Collusionbetween agentsis modeled as hidden side-contractsbetween the agents, and further details of observabilityand timing are involvedhere, whichwill be explainedin section 5. 3. First Approach:Conditionsfor Optimalityof Delegationwithin the TraditionalFramework 3.1 Conditionsfor DS = C Considerfirstthe optimalityof delegating to a "prime"supplier the authorityto subcontract with the other supplier,i.e., comparisonof DS with C. When the Revelation Principle applies, we know that C weakly dominates DS, so the question is when DS achieves the outcome under the optimal centralized mechanism. In this case, delegation entails no control loss at all. Insofar as contractingwith one agent rather than two is simpler or easier for the principal, this can provide a rationalizationof delegation as a way of implementing the optimal outcome. The potential control problem with delegationinvolvesa formof "moralhazard":the "prime"supplier'sincentive to allocateproduction and paymentsbetween himself and the subcontractormay differ from what the principal desires. In particular,the prime contractorhas monopsonypower over the subcontractors,and the principalin turn has monopsonypower over the prime contractor. Both sets of relationshipsare subject to adverseselection, so monopsonywill generate distortionsin productionand payments that raise contractingcosts for the principal. The verticalcontrolprobleminherentin delegation thereforeis essentiallythat of "double marginalization of rents" (DMR), stressed in the context of sequences of monopoly relationships in the industrial organizationliterature. The monopsonypower of the prime contractor (A1, say) over the subcontractor (A2) resultsin two problems.First,there tends to be "toolittle outsourcing"from subcontractors (or too low a supplyprice offeredby A,). This resultsfromthe attemptby A, to garner maximalinformationalrents for himself at the expense of A2 and P. Roughlyspeaking, the volume of informationrents are proportional to the level of productionallocatedto an agent, so A1 allocates himself a larger share of production than either A2 or P would desire. Second, A1 is privately informedaboutsubcontractingcost (whathe has to pay A2)vis-a-visthe Principal,owing to the lackof directcommunicationbetween P and A2.This adds a dimensionof adverse selectionin A1'srelationshipwith P, over and above privacyof informationabout his own cost of production. There is a consequent "cascading"of informationrents: first such rents are paid to A2 by A1, and then this is subjectto an additionalmarkupowingto priinformationvis-t-vis P regarding vacy of AI's costs. This is as far as the princisubcontract pal'swelfare is concerned; from the standpoint of socialefficiencyonly the production misallocationmatters. An importantresultin the literatureis that these controlproblemscan be eliminatedin DS under the followingconditions: (3.1) Observability of subcontract costs or allocation: either q, the amount produced by the prime supplier,or x, the subcontractingcost incurred. (3.2) Top-Down Contracting: P contracts with A1 before A1 communicates or contractswith A2. (3.3) Risk-neutrality, absence of limited liability constraints: for A1 The mainidea underlyingthis resultis that condition(3.1) enables the principalto subsidizeoutsourcingor taxin-houseproduction by A1 to correctthe productivemisallocation between the two agents. Moreover(3.2) and (3.3) allow P to "tax"awayupfrontinformation rents derivingfromprivacyof the prime contractor'sknowledgeof subcontractcost. Each of these three conditionsare necessary for delegation to be optimal, barring Mookherjee:Decentralization, Hierarchies, and Incentives exceptionalcases. The productionmisallocation can arise only in the presence of some substitutabilitybetween the inputs supplied by the two agents. Otherwiseif there is perfect complementarity,there is no scope for a monopsony distortion between A1 and A2, and condition (3.1) is unnecessary (Baron and Besanko 1992; Gilbert and Riordan 1995). Otherwise,conditions(3.1) and (3.2) are necessary(given risk neutrality(3.3)) if the production function is smooth (Melumad, Mookherjee, and Reichelstein (MMR, hereafter) 1995). The necessity of risk-neutrality(3.3) is also suggested by MMR 1995, and reinforcedby the literature to be describednext. 3.2 Comparisonof DM with C Another way of posing the question of optimalityof delegation is to compare DM (ratherthan DS) with C. R. PrestonMcAfee and John McMillan(1995) considerthe case with only one productiveagent, and a single monitor M who has no better information than P about the agent'scost. They focus on the costs of intermediationarisingfrom delegation of procurementto M who is subject to limited liability.The main idea here is that M can earn information rents with respect to privacyof knowledge of subcontract costs, since there is no direct communication between the supplier and the principal.These rents cannot be taxed away upfront owing to limited liability constraints.This is very similarto the implications of violation of (3.2)-wherein A1 can contract or communicate with A2 before responding to the contract offered by P (MMR 1995). Faure-Grimaud and Martimort (2001) replacelimited liabilityby riskaversionof M and obtainan agencycost of delegation(with a single productiveagent) that is qualitatively similar (though different in detail). Inabilityof M to costlesslybear riskprevents congruence of interests of M with P at the time M designs subcontractsfor productive agents. This is somewhat akin to a classical 375 moral hazard problem that trades off risk sharingand incentiveswith a single agent. 3.3 Effectsof SupplierConsolidation: ComparingDM with C with Two ProductiveSuppliers Now considerthe relatedquestionof how DM relates to C in the case of two productive agents A1,A2.Assume M is perfectly informed ex ante about realizationof the agents' costs: so there is no upfront uncertainty faced by M. Delegation to M implies that M ratherthan A1,A2earn informational rents, owing to informational asymmetry between M and P concerning subcontract costs.The principalnow contractswith a single supplierof both inputswho incurssupply cost equal to the sum of the two agents'cost. The comparisonof C with DM is thus really a questionof effects of consolidatingthe two suppliersinto a single supplier. The main result here is that such consolidation benefits P if the inputs are perfectly complementaryin production under some added distributionalconditions (Baron and Besanko 1992, Gilbert and Riordan 1995), but hurts P if they are substitutes(Severinov 1999; Mookherjee and Tsumagari2004).8 The intuitive idea underlyingthis result is the following. In C there are externalities between the two separate suppliers,which are internalizedwith consolidation.If they supply substitutes,then competitionis suppressed and cost reports increase (on average) with consolidation.Consolidationalso convertsa pair of one-dimensionalincentive problemsinto a single two-dimensionalone (both in terms of dimensionsof information and numberof goods delivered).This tends to strengthenincentiveconstraints(owingto the abilityof the single consolidatedagent to coordinate reports). On both counts the 8 The definition of substitutes and complements is in terms of the way that the demand for input delivered by one suppliervarieswith the cost reported by the other supplier. Mookherjee and Tsumagarishow how this relates to notions of substitutes and complements in terms of the elasticity of substitution of the production function. 376 Journal of Economic Literature, Vol. XLIV (June 2006) principalis worse off when the two inputs are substitutes.If they supplycomplements instead,the internalizationof biddingexternalitiescauses cost reportsto fall on average with consolidation.But opposingthis is the problem that the adverseselection problem is a higher dimensionalone with consolidation. Under particulardistributionalconditions the higher dimensionalityposes no additional problems, and then P attains superiorexpected profitfrom DM.9 That delegation scores above centralization here may occasionsome surprise,since the Revelation Principle still applies. However the set of agents is not the same between DM and C: in the former there is an additional agent M who is better informed than P. The superiorityof DM thus flows from access to this additional source of informationunavailablein C by assumption. Indeed, the relevant centralized benchmarkfor DM is CM ratherthan C, where M belongs to the organizationand P retainsall controland contractswith M, A1 and A2. In such a setting M is relegated to the status of a supervisor or consultant, rather than being a manager with control rights over the suppliers. The Revelation Principle asserts that CM always weakly dominates DM. Moreover,in CM the principal can costlessly acquire all of M's information, given the absence of any collusion between M and the productive agents supervised. Whereas in DM the principal has to encounterthe problem of controlling M. Hence in generalP would be strictlybetter off retaining control (CM) rather than delegating (DM).10This implies that explanations of the widespread phenomenon of delegation to intermediariesuninvolved in actual production must perforce depart 9 The distributionalcondition is however quite restrictive: i.i.d. exponential cost shocks with a lower bound of 0. Extensions to a wider class of distributions remains an open question. 10 This is easiest to see when M has perfect information about costs-then CM attains the first-best, which DM cannot. from the traditional setting of the RevelationPrinciple.We shall returnto this point below. 3.4 MoreComplexHierarchies: OrganizationalDiseconomiesof Scale; HorizontalCoordination Now suppose there are more than two productive agents. Then there is a choice between different hierarchicalpatterns of delegation. Abstractingfrom the possibility of employingsupervisorsor intermediaries, the n producingagents could be organized in a linear vertical chain, with agent Ai authorized to contract with A+1..Or they could be organized into two horizontal departments,each of which contains a subset of producers,and involvesa verticallinear chain within the department. Or we could have a hierarchywhere each agent is authorizedto contractwith m subordinates (with k vertical layers). See figure 2 for examples.And so on: there are a large number of possible hierarchicalstructures,with varyingspans of control (horizontalbranches) and vertical layers. The questions that can be posed in this frameworkinvolveboth questionsof the design with a given number of agents(e.g., spanof controlversusvertical layers, how to group agents into departments, how to organizecommunicationand contractingsystems),as well as how the performanceof the organizationchangesas the numberof agentsincreases.The latterquestion is of interest to understandinglimits to the size of firmsor networksthat arisesolely from incentiveand coordinationproblems. Delegation is now potentially prone to problems both of vertical control loss (cascading across verticallayers) and coordination across horizontalbranches. The latter problem is not addressed by any of the models described so far, though it has received some attention in the team-theoretic literature which has abstracted from incentive considerations (e.g., Marschak and Reichelstein 1995, 1998). Jacques Cremer and Riordan(1987) representsone Mookherjee:Decentralization, Hierarchies, and Incentives p 377 P Al A1 A3 A2 A4 A2 A3 TWO LAYER TWO DEPARTMENT HIERARCHY A4 LINEAR CHAIN FOUR LAYER HIERARCHY withMoreThanTwoAgents Figure2. Hierachies of the first attempts to deal with complex hierarchies (and also nonhierarchicalcontract networks), wherein conditions for implementabilityof first-best efficient allocations with ex ante contractingwith riskneutral agents were established.11 In particularthey describe a sophisticatedsystem of contractingand communicationthat enables such a contracting network to resolve both incentive compatibility and coordination to achieve ex post efficient outcomes. Extensionsof the theory to implementation of optimal mechanismsfor a principal (rather than ex post efficient outcomes) in the presence of adverseselection are considered in Mookherjeeand Reichelstein(1997, 2001). They confine attentionto contracting hierarchies that are "consistent"with the technologyin the sense that one dimensional reportingwould help the same hierarchy 11Ex ante contractingrefers to the situationwhere contracts are negotiated before agents receive any private information, so adverse selection problems do not arise. achievefirst-bestoutcomesin the absenceof any incentiveproblems.In other words,the productiontechnologyhas a constantreturns recursive structure, wherein production is hierarchicallydecomposedinto departments and subdepartments. In the absence of incentive problems,coordinationacrossdifferent departments can be achieved by a hierarchicalcommunicationsystem, where each manager receives (one-dimensional) cost reports from subordinates,aggregates them into a departmentalcost, and reports this to his superiorin turn. Cost reportsflow up the hierarchyin this way, up to the very top. There aggregate output decisions are made,which are subsequentlydisaggregated into departmentaltargets,with these flowing subsequentlydown the hierarchy. This mechanismcan be extendedto incorporate incentive problems as well, under exactlythe same conditions (3.1)-(3.3) that enables DS to achieve optimaloutcomes in the two agent case. Specifically,Mookherjee and Reichelstein show that if assumptions (3.1)-(3.3) hold, any hierarchy "consistent" 378 Journal of Economic Literature, Vol. XLIV (June 2006) with the technology (in the sense defined above) can achieve the same expectedprofit and production allocation as the optimal centralized mechanism. This implies that conditions (3.1)-(3.3) as well as "consistency" are sufficient (as well as necessary)for hierarchicaldelegation to implement optimal centralized outcomes. Once vertical controlproblemscan be overcomewith one level of delegation, they can be overcome with multipleverticallayers.Moreoverhorizontal coordinationacross departmentscan also be costlesslyassuredby the mechanism. The mechanisminvolvesthree stages:first contractsflow down the hierarchy,then cost reportsflow up and get aggregatedalongthe way, determiningproductiontargets which flow down at the third stage. Specifically: * at each layeran agent managesa "profit center" * managerialincentive schemes are linear in a measureof profit of the center * departmental costs equal aggregate payments authorized to subordinate departments * departmentaloutputis valuedat willingness to pay (ala Groves-Vickrey)of the managerat next higherlevel * managers self-select profit targets for themselvesat the first(contracting)stage, then reportcost (bid on projects)to their bosses at the secondstageafterreceiving cost reportsfromtheir subordinates Some of these featuresresembleperformance budgetingsystemsdescribedin management accountingtextbooks(e.g., CharlesT. Horngren and George Foster 1991). The mechanismdistributesinformationprocessing tasks throughoutthe hierarchy,as managers aggregate cost reports for their respective departmentsandallocateproductionbetween subordinatesand themselves.With incentive problemsovercome,design of the hierarchy can be based on considerationsof efficient distributionof informationprocessingi la theories of Radner(1993) or van Zandt (1996, 1997). In particular,these considerations explainwhy the two extreme organizational forms (a "flat"two layer centralizedmechanism and a "steep"linear chain) would be dominatedby intermediateformswitha number of verticallayersandhorizontalbranches. Note finallythat the result providesa set of benchmarkconditionsunderwhich there are no organizational diseconomiesof scale. 3.5 Shortcomingsof the First ("Traditional") Approach As we have seen above,the conditionsfor optimalityof delegation are restrictive.For instance,absence of risk aversionor limited liability constraints limits applicability to managerialhierarchies.Implementabilityof second-best allocationsvia delegation may be more relevant in procurement settings where the prime contractoris a large firm with deep pockets. On the flip side, the theory explainsinformationrents of managers that cascade across vertical layers. If intermediate managersare more risk-aversethan the owners, this makes it difficultto ensure coincidence of their objectives. These results suggest that costs will grow with the scale of the firm'soperations,causingorganizational diseconomies of scale, though explicitmodels of this phenomenonare still awaited. A more serious problem with this approachis that it cannot ever explainwhy delegation may dominate centralization. This is simplya consequenceof stayingwithin the confines of the RevelationPrinciple. Moreover, the constructed delegation mechanisms (e.g., under assumptions (3.1)-(3.2) of observability and top-down contracting) are vulnerable to collusion between agents. This is because the principal has to subsidize outsourcing from subcontractors, creating incentives for artificiallyexaggeratingoutsourced cost by the prime contractor.12The prime contractor also would have an incentive to contract and communicate with the subcontractorbefore respondingto the principal's offer, which may be difficult for the principal to prevent. Mookherjee:Decentralization, Hierarchies, and Incentives 379 Yet anotherproblemis that this approach cannot explain delegation to middlemen or managersthatplayno directproductiverole. As explained above, it is generally strictly better for P to retain control and treat M as an informationprovider.This stems partly from the assumptionof noncollusivebehavior between supervisor and productive agents. This motivatesinterestin literaturewhich confrontsthese problems,by departingfrom the confines of the RevelationPrinciple. authority. While this is undoubtedly an appealing idea, it requires modeling limits on informationprocessing of the principal and agents. Modelingincentive compatibility constraintsin such a context is difficult, since it requiresmodelinghow agentsdivide their limited informationprocessingcapacity between attemptingto game the principal for their own self-interest,and carryingout the computationsthat they are appointedto perform.13 In order to avoid this foundationalproblem, an alternativeapproachis to introduce 4. Benefitsof Delegation:Costly restrictions on communication between Communicationand Contract agents, ratherthan constraintheir information processing capacities. Mechanismsare Complexity constructed under the assumption of Reconsider the choice of DS versus C, "unboundedrationality," but subjectto these where there are two productiveagents. The communication restrictions. MMR (1992) questionis whetherthe principalshoulddelcentralized and decentralcompareoptimal egate contractingwith A2to A1.A commonly ized mechanisms with an restricalleged advantageof decentralizationis that tion on the size of the exogenous that message space it utilizes the benefits of local information. This presumes that centralizationis unable can be used by any agent to communicate to take advantageof such local information. with others.In particular,if the upperbound In the framework where the Revelation on the size of the message space is not large enough to permit agents to communicate Principleapplies,however,communicationis costless and centralizeddecision makingcan everythingthat they know,centralizeddecision-makingcannot access all the informaaccess the same informationas any decention that delegationmechanismsutilize. For tralized mode. Formalizationof the "local the mechanismDS allowsproducinstance, information"advantageof decentralization tion allocations between the two agentsto be necessitates incorporationof constraintson decided on by A1 the basisof his information what agents can report to the principal,or about his personalcost 01,which he can only alternativelyon the extent of information communicate to the principal.The partially that can be processedby the principal. restrictions on the size of the messagespace, Models of costly informationprocessing are not however, explicitly modeled, and in the mould of Radner (1993), Mount and would likely requiresome underlyingmodel Reiter (1995), or van Zandt(1996, 1997) are of "expertise"of suppliers not shared by P still in their infancy and await extensions which restrictthe vocabularyof communicathat incorporate incentive considerations. tion between them, or the need to make They model computationstaking place in decisions in real time where messages take real time, and model advantagesof decentime to be communicated. tralizationin distributinginformationproThe result in MMR (1992) is cessing tasks throughout the organization, that:DSprincipal dominates C if(a) there is a strictly rather than concentratingit in one central 12 The prime contractorcould claim to have outsourced more than the true amount, in return for a side payment from the subcontractor. 13 Indeed, this decision itself is a higher order problem, quickly giving rise to an infinite regress of the form familiar in any model with "decision costs." 380 Journalof EconomicLiterature,Vol.XLIV(June2006) finite messagespacefor each agent, whereas costs lie on a continuum;(b) assumptions (3.1)-(3.3) of cost observability,top-down contractingand risk-neutralityhold;and (c) the cost function of agent Ai is multiplicatively separablebetween quantityproduced qi and the cost shock Oi.Note that this result applies irrespectiveof the size or nature of the message spaces, as long as they apply uniformly to both organizationalregimes. Hence the comparisondoes not requireany explicitmodel of communicationcosts. Note also this result pertains to DS and C with particular reporting structures (e.g., in C where agents either communicate simultaneously or sequentially in two stages). So this does not establish the global optimality of delegation among the class of all possible mechanisms subject to the same message space restrictions. Part of the problem is that there is no general characterization so far available(analogousto the Revelation Principle) of the set of all possible feasible mechanismsin the presence of communicationconstraints.14 Nevertheless,the result capturesthe idea that delegated decision makingmay be better able than most commonversionsof centralization to utilize "local" information. Productionassignmentsare selected by A1 in DS on the basisof his informationaboutown cost 01,which is finer than can be communicould cated to P. In general,this "flexibility" be abusedby A1 to pursuehis own interestat the expense of the principal:the restriction on communicationalso limitsthe abilityof P to calibratethe outsourcing.subsidy in DS preciselyenough to amelioratethe problem of double marginalization of rents. Nevertheless MMR show that the added control loss is always outweighed by the advantage of better informed production decisions,providedthe principalcan monitor 14 In particular, the result described above does not exclude the possibilitythat a centralized mechanism with a more general multistage communication mechanism may be able to match the performance of DS. This is an open question for future research. productionassignmentsorpaymentsbetween the agentsex post. An alternativerestrictionwhich yields the same result concernsthe numberof contingencies in contracts.A contingencycan be viewed as a statementof productiontargets and paymentsmade to an agent, conditional on reportscommunicatedby the latter.One measureof the complexityof a contractis the numberof contingencies,since these haveto be written(oftenwith the aid of lawyers)and read by thirdpartyenforcers(e.g., courts)at some cost. Accordinglycontractswith more contingenciesinvolvehighercosts of writing and verification. Of course in some situationsthis is not a good measureof complexity,e.g., when it is possibleto expressthe contractin the formof a simple mathematicalformula(the simplicity of which maybe contrastedwith the number of elements in the graphof the function, the complexity measure being considered here). A deeper analysisof complexityshould be based on measuresof complexityor computabilityof the mathematicalformulathat representsthe contract. The performanceof DS and C can be comparedwith identical restrictionson the number of contingencies in contracts in either regime. Restrictingcontractsto finite complexityimposeslimitsnot just on the size of messagespacesof agents,but also of decisions (concerningproductionand payments) thatcan be takenon the basisof suchreports. This furtherlimitsthe flexibilityadvantageof DS over C, comparedwith the case where messagespace size is restricted.Despite this, it can be shown that the superiorityof DS over C still prevails under the same conditions as where message space sizes are restricted (MMR 1997). Productionallocations can no longerbe variedcontinuouslyby A1;the contractcan onlyspecifya finite set of alternativeproductiontarget configurations. Yetthere is scope in DS forA1 to choose flexibly among these different configurations based on his "local"informationwhich cannot be accessedby a centralizedmechanism. Mookherjee:Decentralization, Hierarchies, and Incentives On the other hand, if one or more of assumptions (3.1)-(3.3) do not hold then examples can be constructed whereby the rankinggets reversed,i.e., the exacerbation of the control loss outweighs the flexibility advantage,renderingC superior.Accordingly this theory succeeds in providingconditions when either of the systems (strictly)dominates the other. Howeverthere still remains the need to provide a deeper foundationof the notions of contractual complexity or communication costs employed in this branchof the literature. 5. CollusionAmongAgents We now describea more recent and active strandof the literatureevaluatingdelegation when agents collude, while all other traditionalassumptionsunderlyingthe Revelation Principleare retained.Collusionaffects the performanceof both delegationand centralization. For instance we have alreadyseen thatthe mechanismsconstructedfor DS that replicate outcomes of the best centralized mechanismunder conditions(3.1)-(3.3) are vulnerable to collusion among the agents. Optimal centralized mechanisms are also frequently vulnerable to collusion.15The questionis how the two regimescomparein the presence of collusion. One possible intuition for the virtues of delegation is that it already incorporates side-contractingamong the agents, unlike centralization.However we shall see below that this intuitionis difficultto makeprecise: when one models hidden side contractsin a particularway, a version of the Revelation Principle reappears,whereby centralization can replicatethe outcomesof anydelegation arrangement. Nevertheless, one can then explorethe idea that delegationand centralizationare equivalentunder a broaderset of circumstanceswhen agentscollude. In other 15 Consider for instance a second price auction in which bidders can coordinate their bids and enter into hidden side-contracts that reallocate the good among themselves. There often exist such side contracts that are interim Pareto superior from the standpoint of the bidders. 381 words, delegation may be an optimal responseto the presence of collusionamong agents-if side contractingcannot be prevented, the principalmayas well authorizeit explicitly. An additional reason to study collusion was mentionedpreviously:manyinstancesof delegation take the form of DM, where authorityis delegated to expert intermediaries or managerswho play no role in actual production.In the absenceof collusionP can costlesslyobtainM'sinformationanduse this to design contractsfor supplierspersonally. However, the agents then have a stake in bribing M to withhold his information. Collusion would therefore prevent costless acquisitionof M'sinformationundercentralization. Delegation to M would not permit costless extractionof M'sinformationeither, since it would form a source of information rents for M in contractingwith the principal. M will earn rents under either regime in the presence of collusion, so the superiorityof centralizationis no longer obvious. 5.1 ModelingCollusion Collusion is typically modeled as a side contract between agents which is unobservedby P, and subjectto asymmetricinformation within the coalition. Nevertheless manyimportantdetails need to be specified concerningthe nature of the side-contracting game. How are these contractsnegotiated, how does their timing relate to the proposaland acceptance stages of the contract offered by the principal?What is the rangeof decisionsthe agents can coordinate on, and what does the principal observe? How is the side contractenforced? The complexityof analysisof coalitional behaviorunderprivateinformationhas motivated most authors to adopt simplifying assumptionsthat permit a tractableanalysis. Mostof the literaturefollowsthe trendset by Tirole (1986) by ignoring all enforceability constraints,by assuminglong-termcontracts or self-enforcingrelationshipsamongagents. Only restrictions imposed by asymmetric 382 Journal of Economic Literature, Vol. XLIV (June 2006) informationwithinthe coalition(besideslimited liability,if applicable)are imposed. At the same time the contractualrelationship between agents and principalis short term and restrictedto that defined by the formal contract. It is also commonto assumethat side contractallowsagentsto coordinatereportsto P, and to reallocate production assignments andpaymentsbetween themselves.This corresponds to auction contexts where coordinated bid-riggingand hidden "resale"of the good cannot be prevented by the seller. Since collusion occurs with asymmetric information,the Coase Theorem does not apply.Hence actualoutcomes (e.g., production assignments)will depend on the allocation of bargaining power within the coalition. In turn this depends on who has the power to propose the side contract. Laffontand Martimort(1998) assumethat the organizationalvariantaffects allocation of bargainingpower:in DS A1 makesa takeit-or-leave-itside contractoffer to A2,while in C a neutral third party designs the side contractfor A1and A2.This may seem natural in some ways: if the principaldelegates authority for contractingwith one of the agentsto the other,it augmentsthe bargaining power of the latter. Yet in the Laffont and Martimort (1998) formulation this is built in as an exogenous shift in bargaining power. An alternativewould be to explain this shift endogenously. For instance, the reason that A2 has more bargainingpower vis-.-vis A1 undercentralizationis thatA2has the option of turning down the contract offered by A1 and then playingthe contract offered by the principal noncooperatively. Such an outside option is not availableto A2 in DS-thus conferringmonopsonypower to A1in the delegationarrangement. The more recent literature models the endogenous effect of organizationalstructure on bargainingpower within the coalition. Specifically,it is commonly assumed that one of the agents (denoted A*,say) has the power to make a take-it-or-leave-it side-contractto the others. If the principal delegates subcontractingto A*, then the other agents do not have the option of rejecting the subcontractand dealing with the principalon their own. Under centralizationin contrast,they have the opportunity of rejecting the subcontractand playing the principal'sgame noncooperatively.This raisestheir outside optionvis-h-visA*,effectively gainingbargainingpower. The extent to which they do so depends endogenously on the contract offered by the principal. The latter simultaneouslydefines the stakes of collusion for the agents, as well as their relativebargainingpower. A consequence of this formulationis that the differencebetween delegationand centralizationboils down to this. If P delegates to A*,then all other agents have no alternative to the subcontractoffered by A*.Under centralization,P offers a contractto all the agents,who now havethe optionof rejecting the side contractoffered by A*and responding to P's offer noncooperatively.Then centralizationreduces to delegationif P offers a null contractto all agents but A*.Therefore a version of the RevelationPrinciple reappears:if the structureof the side-contracting game is the same in differentorganizational variants(in the sense of who has the right to designthe side contract),then centralization is always weakly preferred to delegation. Such a formulationcannot thereforepermit delegation to dominate centralization.We are back to a question similarto that in the traditionalfirst approachdescribedabove:is delegationcostly relativeto centralization? 5.2 Costsof Delegationwith Collusion In order to emphasizethat centralization regime now incorporatescollusion,we shall refer to the two variants of centralization (withandwithoutM) by CMC and C respectively. As before, we can phrase the key question either as comparisonof C and DS (shouldP delegate to one of two suppliers?), or of CMC and DM (shouldP delegate to a monitor/managerM?). Mookherjee:Decentralization, Hierarchies, and Incentives 5.2.1 C versus DS This question is posed by Baliga and Sjostrom(BS, hereafter) (1998) in a model with moralhazardand limited liability.Two suppliersA1,A2jointlyproducean indivisible output for P. The probabilityof "success"is increasingin the effort of each agent, which takes one of two possiblevalues ("shirk"and "work").Productionoccurssequentially,and the effort of one agent (A1)is observed by the other (A2)but not vice versa.The principal cannot observe efforts of either agent, and is constrainedto pay them nonnegative wages (with zero as their respective outside options). The combinationof moral hazard with limited liabilitygives rise to "efficiency wage" informationrents, and renders the Coase Theoreminapplicable.The stakesfor collusionarisehere wheneverP tries to elicit A2'sinformationabout Al's effort:A1can bribeA2to withholdadverseinformation.BS do not model the actual process by which the side contractis negotiated,using instead a notion of an equilibriumside-contractas a Pareto-undominatedside contract,given the principal'smechanism. The main resultsof their paper are as follows: (i) In C it is alwaysoptimalto use simple contractswith no communication,where P paysA, a wage wi in event of success and 0 otherwise;(ii) For a large range of parameter values, delegation is optimal (i.e., the best simple contracthas either w, or w2= 0); and (iii) There exist other cases for which delegation is not optimal (e.g., if neither agentA, is "essential"enoughthat delegating to the other agentAjwould induce the latter to pay formera positiverent in event of success). The model thus capturesthe idea that in a large range of cases decentralizationis an optimal response to collusion-the principal can implementthe optimalcentralized outcomeundercollusionby contractingwith only one of the two agents and leaving that agentto subcontractwith the other.The payment to the delegated agent is such that it motivatesthat agent to pay the other agent 383 exactlythe same efficiencywage as the principal desires,and leave the same amountfor the delegated agent as well. However (iii) shows that such an implementationis not globallypossible. A similarcomparisonis carriedout in an adverse selection framework of the kind describedin previoussectionsby Mookherjee and Tsumagari(MT,hereafter)(2004). They find in contrastto the BS paper that delegation to a supplieris always strictlydominated by centralization.The essential reasonis that the shift of bargainingpower to A2 under centralizationallows the productive distortion inherent in DS to be reduced. Recall that this distortiontook the form of "insufficientoutsourcing"fromA2.The need for A1 to offer higher rents to A2 in the centralized setting (where P offers a contract more favorableto A2 than emerges in the solution to DS) forces A, to subcontract more to A2,thus reducingthe extent of the productivemisallocation.In a sense, this is qualitativelysimilarto the cases studied by BS in which decentralizationwas not optimal: there centralizationoffersA2 a positive efficiency wage which raises his effort, reducingthe distortionarisingin delegation when the delegatedagentA1prefersto keep all the rents for himself and so does not pay any efficiencywage to A2.The differencein resultsbetween the two paperscould therefore reflect the fact that outputs and inputs are assumedto be divisiblein the MT paper, enlarging the scope of distortions arising from Al's monopsony power in delegation. Alternativelythere are important distinctions between the moralhazardand adverse selection settingsconsideredthat drive their respectiveresults. 5.2.2 DM versus CMC Faure-Grimaud,Laffont, and Martimort (FLM, hereafter) (2003) and Celik (2002) both consider the case of one productive agentA and one supervisorM. The formeris privatelyinformed about his own cost. The two papers adopt different assumptions 384 Journal of Economic Literature, Vol. XLIV (June 2006) about the natureof informationavailableto M aboutthis cost. FLM assumethat the cost of the suppliertakestwo possiblevalues,and M observesan informativesignalwhich also takes two possible values. In contrast,Celik assumesan arbitraryfinite numberof possible costs, with the informationof M represented by a connected partition over the state space. Specifically,M can narrowdown the agent'scost to a (connected) subset of possible cost levels, but cannot distinguish between different costs within this subset. Apartfrom the informationstructure,FLM allowsfor risk-aversionof M, whereas Celik assumesriskneutrality,but this differenceis less fundamental. The results of these papers are strikingly different:FLMfind that delegationis always equivalent to centralization,whereas Celik finds that delegation is inferior in general (e.g., wheneverthe optimalcontractfor the agentin the absenceof M is strictlymonotone, and M is not perfectly informedabout the agent'scost). The intuition in Celik'spaper seems similarto that in the MT paper:delegationto M is subjectto a monopsonydistortion, causing M to procure an insufficient amountfrom A that is not in the principal's interest. In particular,the optimalallocation involvesincentiveconstraintsthatbind solely in the "downward"direction, where more productivetypes of the agent are indifferent between underreportingand reportingtruthfully. Centralizationallows the principalto raiseA'soutsideoptionin bargainingoverthe subcontractwith M, reducingthe extent of this monopsonydistortion.In particular,since the agent'sreservationutilitywith respect to the side contractis strictlyincreasingin his productivity(owing to the agent'soption of playingP's mechanismnoncooperatively),it incentivesfor createsa set of "countervailing" the agentto over-ratherthanunderrepresent its productivity.This relaxationof the downward incentive constraintspermits a reduction in the extent of underproduction.The patternof incentiveconstraintsand associated productivedistortionsin the FLM context incentiveconare different,where "upward" straintsbind with delegation.In such a context, creating countervailingincentives by raisingthe agent'soutsideoptionturnout not to be valuablefor the principal. Finally, MT (2004) compare CMC, DM, and C in the case of two productiveagents A1, A, and a perfectly informed M. Their motivationis to explore the idea that collusion mayrationalizedelegationto intermediaries uninvolved in production. This necessitatesthe presence of more than one productiveagent.16 With M perfectlyinformed,there is effectively no asymmetricinformationwithin the coalition,so inducingchanges in bargaining powerwithinthe coalitionis not valuablefor the principaland DM = CMC. Hence delegation is costless relativeto the centralized alternativewhere P retainscontroland treats M as an informationprovider. What is the value of hiringM when there are two productiveagents?With M perfectly informed, DM reduces effectively to the case where the principaldeals with a single consolidatedagent that deliversboth inputs at a cost equalto the sum of productioncosts of A1 and A,. Whereasif M is not hired, we have already explained that centralization (C) is the better alternativethan delegating to one of the suppliers(DS). So the value of hiring(anddelegatingto M) is effectivelythe same question as the effect of consolidating diverse suppliers,except that now we must consider the presence of collusion among the suppliersunder centralization.MT show that exactlythe same resultsconcerningconsolidation effects (discussed in section 3.3 above) hold in the presence of collusion as well. Specifically,DM < C if the two agents produce substitutes,while DM > C if they produce complements and some additional distributionalconditionsare satisfied.In the latter case of supplier complementarity, 16With a single agent, the coalition of M and the agent behaves exactly the same way as the agent does, as a consequence of the Coase Theorem which applies when M is perfectly informed about the agent's cost. Mookherjee:Decentralization, Hierarchies, and Incentives therefore,DM is optimalamongall the organizational modes considered: P is strictly better off hiringM, and then can delegate to him at no cost.17 But in the substitutescase, it is strictly better for the principalto not hire M and contract personallywith both suppliers. 6. Applicationsto IndustrialOrganization The literaturesurveyedin this articlehas so far been primarilytheoretical, without anysignificantinteractionwith more applied workon the internalorganizationof firms.In this section, I shall argue that the issues addressedby these theories are potentially relevantto appliedworkon industrialorganization, and then discuss possible reasons why this potentialhas not yet been realized. Partof the problemunderlyingthe lackof interactionwith appliedworkis that most of the evidence concerning internal organization of firms comprises case studies and business reports, instead of large scale empiricaldatasets. Nevertheless, some systematic empirical evidence has begun to become availablein select contexts, which are discussedbelow. 6.1 HumanResourceManagement Practices Ichniowskiand Shaw(1999, 2003) discuss how U.S. businessesin the last twentyyears have dramaticallyincreased their use of "innovative"human resource management (HRM) practices.A detailed analysisof the nature of these practicesand their productivity impact in the context of a sample of steel finishing productionlines is provided in Ichniowski,Shaw, and Prennushi (1997) and Gant, Ichniowski, and Shaw (2002). Gantet al. (2002) providea detaileddescription of different componentsof these practices, such as problem-solving teams, 17 However this result is driven by the assumption that M is perfectly informed about agents' costs. If M is imperfectly informed one expects delegation to M to be costly relative to CMC, but these costs ought to be small if M is "sufficiently"well-informed. 385 incentive pay, flexible job design, information sharing among workers directly,training, careful hiring and selection, and employment security. They summarize by statingthat . . the underlyingtheme of the value of innovativeHRM practicesis thatplantswith innovative practicesexpecttheiremployeesto do more problemsolving,both on and off the production line (Gant,Ichniowski,and Shaw2002, p. 296). Workersmake decisionsboth individually and collectively as they work on the line, thus necessitatinggreaterexchangeof information within work teams, flexibilityof job workers. assignmentsand hiringof "smarter" In contrast, traditional "control oriented" HRM practices concentrate decision-making responsibilityamonga few hierarchically superioragents,such as productionforemen and supervisors. Ichniowski, Shaw, and Prennushi (1997) estimate the productivity impact of adoptionof these practicesto be statistically and quantitatively significant. They also find significantcomplementarities between differentcomponentsof the HRM practices:each componentby itself does not improveproductivity. The contrastbetween the innovativeand traditional HRM practices corresponds closely to the distinction between mechanisms DS or DM and C describedin previous sections. In the delegationmechanisms, productiondecisions are made by a team of agentsA1,A2andM on the basisof intrateam communicationand group-based incentive pay for the team leader, who subsequently allocates production assignments and payments among team members. If the key to the new HRM practices lie in delegationof productiondecisions to worker teams, their value cannot be explained by any conventional incentive-based theory of adverse selection or moral hazard that conformsto the Revelation Principle. The outcome of any such decentralized mechanism can be replicated by a centralized mechanism which resemblestraditionalcontrol-oriented 386 Journal of Economic Literature, Vol. XLIV (June2006) HRM practicesin which each workercommunicates and contracts separately with central managementthat makes all production decisions. Hence traditionalincentive theory cannot explainthe superiorperformance of innovative HRM practices. An appropriatetheory would have to confront the issues raised in the literaturedescribed in this essay. Naturallyenough, it is evidentthat a theory explaining the superiorityof innovative HRM practices would need to incorporate costs of communication,informationprocessing, or contract renegotiation. In an empirical analysisof workplacereorganization in a large cross-section of 300 large U.S. firms during 1995-96, Timothy F. Bresnahan, Brynjolfsson,and Hitt (2002) find evidence of significantcomplementarities between adoption of new information technology (IT), innovativeHRM practices, and hiring of skilled workers. Thomas N. Hubbard (2000) studies the effect of onboard computersin trucking,and its effects on the value of delegation. Massimo G. Colombo and Marco Delmastro (2004) examine the effect of communicationtechnology on whether authorityis delegated to plant managers.Theoreticalexplanationsof these empiricalfindingswould need to consider the implications of lowered costs of communicationand informationprocessing on the tradeoff between centralized and decentralized decision-making. Clearly, models that simultaneously incorporate informationcosts and incentives are necessary to address this question. The relative paucity of such models is one possible reason for the limited interchangebetween the theoreticaland empiricalliteratures. Nevertheless, the potential relevance of the theoreticalliteratureis indicatedby the model with communicationcost described in section 4. Since centralizeddecision making necessitates greater exchange of information between production agents and decision makers,it might appearthat lower communication cost should enhance the relative profitabilityof centralizeddecision making. Recall, however, that delegated decision makinggives rise to a control loss, which has to be traded off against the enhancedflexibilityof productiondecisions. The ability of the principal to moderate such control losses depends upon whether the principalcan monitordecisionsmade by agents in a decentralizedsetting. Advanced IT enables such monitoring to be carried out by central managementat much lower cost, as described by Brynjolfssonand Hitt (2000).18Hence the net effect of improved IT on the value of delegation is ambiguous in general, and consistent with observed complementaritiesbetween IT and innovative HRM practices. Needless to say, models addressingsuch questions explicitlyare still awaited. 6.2 RetailFranchising Benito Arrunada,Luis Garicano,and Luis Vazquez (2001) describe retail franchise agreements between automobile manufacturers and dealers in Spain. Retailers are delegated decisions concerning product pricing, purchases from manufacturers, advertisingand after-salesservice.This gives rise to a classicproblem of "doublemarginalizationof rents"acrossretailand manufacturing stages: decisions made by retailers affectprofitsearnedby manufacturers.They also give rise to horizontal externalities acrosssales effort of differentdealers:some customers gather information from one dealer and purchasefrom other dealers. To control these externalities, manufacturers retaincertainmonitoringrights: 18 For example, they write that "Computer-basedsupply chain integration has been especially sophisticated in the consumer packaged goods industries . . . Because many consumer products have long shelf lives, retailers tended to buy massive amounts during promotional periods, which increased volatilityin manufacturingschedules and distorted manufacturers' view of their market. In response, manufacturerssped up their packagingchanges to discourage stock-piling of products and developed internal audit departments to monitor retailers' purchasing behavior for contractual violations"(Brynjolfssonand Hitt 2000, p. 28). Mookherjee:Decentralization,Hierarchies, and Incentives ... they are authorized to directly inspect the inputs of the dealership(machinery,personnel etc.) and to measure dealer performance in termsof achievementof salestargets.Most contracts also allow manufacturersto monitorcustomer satisfaction,as measuredby polls. Finally, most manufacturersmay monitordealersfinancial performance by regularly auditing their financial statements. Concerning termination rights,all contractsexplicitlyassignmanufacturers the rightto terminatethe contractswhen the dealer infringes certain duties (Arrunada, Garicano,and Vazquez2001, p. 264). Traditionalincentivetheorycannotexplain why decisionsover productpricing,purchases from manufacturers,advertisingor aftersales serviceshouldbe delegatedto retailers by manufacturerswho are clearlyin a position to design the franchisingrelationship. When the RevelationPrincipleapplies,delegated arrangementscannot outperform a centralizedarrangementwhere all decision rights are retained by manufacturers.An obvious explanation of such a delegation arrangementis that it is either impossible, too expensiveor time consumingfor retailers to communicateall relevantlocalinformation to manufacturers. At the same time, in order to limitcontrolloss, manufacturersretainthe rightto monitordealersin a varietyof ways. Arrunada,Garicano,and Vazquez (2001) explainthe prevalenceof delegation by the presence of "two-sidedmoral hazard,"i.e., the possibilityof opportunisticex post renegotiation of contracts by manufacturers. Consistent with this hypothesis, they find that manufacturerstend to delegate more to retailerswhen manufacturersare more reputable and thus less subjectto renegotiation constraints.Nevertheless,the decisions that are subject to more or less delegation concern monitoring and enforcement of contractualterms.Decisionsconcerningpricing, advertisingor after-salesservice tend to be uniformlydelegated,even amongstthe most reputed manufacturers.The theoreticalliteraturedescribedin this essay will be needed to explainthe widespreadprevalenceof such kinds of delegationeven for reputable 387 manufacturersfor whom the moral hazard problemis of the "one-sided"variety. 7. ConcludingComments In summary,the most importantlacunaof existingtheoreticalincentive-basedliterature is thatit focuseson costs ratherthanthe benefits of delegation.The latterare difficultto incorporateinto traditionalcontracttheory. Perhapsthe most importantbenefit of delegationis the distributionof informationprocessingtasks,but no progresshas occurredin theories that marryinformationprocessing costs with incentives. Some progress has been possiblewith communicationcosts and simple measuresof contractcomplexity,but these need better foundations. What have we learned from the existing literature?It identifies a number of potential costs of delegation: moral hazard for intermediariesowing to noncoincidence of their own objectives with the principal's, and their monopsony power over subordinates. These can result in production distortions (insufficient sourcing from subordinates), cascading of information rents acrossverticallayers,and problemsof coordinatingdifferent horizontalbranches. If agentsdo not collude,these agencycosts of delegationcan be avoidedif (and only if) the principalcan monitorsubcontractcosts or quantities,if contractsflow downthe hierarchy,and agentsare risk-neutral.If any one of these conditionsdo not hold then agency costs cannotbe avoided.The only significant problem pertains to vertical control loss; if they can be avoided (i.e., under the above mentioned conditions) then incentive considerations do not complicate horizontal coordinationacross branches of the hierarchy: "group"-basedincentive contracts can be designed to costlessly internalize these horizontalexternalities.On the other hand, managerialrisk aversionor limited capacity for principalsto monitorlocal conditionsor agent decisionscan cause significantcontrol losses from delegation, that grow with the 388 Journal of Economic Literature, Vol. XLIV (June2006) size and complexityof the organization.This disprovidesan explanationof organizational economies of scale, i.e., why larger firms tend to be more "bureaucratic" and less able to controlcosts. If agents collude, centralizationis also subject to unobserved side contracting among agents, limiting the ability of the principal to moderate "control loss." However, centralizationpotentially allows greater control over side contracting outcomes by the principal offering outside options to subordinatesthat limit monopsonypower of intermediaries.Dependingon the precise distortions engendered, this added dimensionof control may or may not be valuable. Overall,the presence of collusion amongagents enlargesthe rangeof circumstances where delegation implements optimalallocations. There are numerous open questions and fruitful avenues for future research. I conclude by listing some of these. First, a better understandingof effects of collusion is still needed. The few papers on this topic emerge with different results the intuitive basis for which is not very clear. One hopes a more unified perspectivewill emerge in due course. There is a need to explore implications of different formulations of side-contracting,e.g., more general assignmentof bargainingpowerwithincoalitions, or alternative timing assumptions. Baron and Besanko (1999) provide an intriguingmodel in which agentsthemselves decide ex ante whetherto consolidatethemselves into a single entity, a decision which the principalobservesandtakesinto account before offeringa contract.In the models we described,the principalcan anticipatea particularpattern of side contracting,but cannot observe whether or not the agents actually do side-contract.In contexts with more agents and verticallayers,the possibility of collusion-within-collusion further complicatesthe analysis. Second,moreeffortneeds to be devotedto explainingthe potentialbenefitsof delegation. Models integratinginformationprocessing or communicationcosts with incentive considerations are needed to provide a fullblown theory of the trade-off between centralization and decentralization. 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