The Rise and Fall of the Sliding Scale or Why Wages Aren't Indexed to Product Prices November, 2003 Christopher Hanes Department of Economics SUNY-Binghamton P.O. Box 6000 Binghamton, NY 13902 (607) 777 5487 [email protected] Abstract: Sliding scales - agreements between employers and unions that linked wage rates to product prices - were widespread in some industries, and tried in others, in Britain and the United States from the 1860s through the 1930s. I describe how sliding scales worked in practice and how they were viewed by contemporary employers, unionists and outside observers. I argue that sliding scales were not adopted for the reasons suggested by most theories of wage indexation, but rather in order to reduce the frequency of strikes in an institutional setting where there was no third-party enforcement of labor agreements. This can explain both the presence of sliding scales in the nineteenth and early-twentieth centuries, and the disappearance of sliding scales since the 1930s. -1Sometime before the year 1841, a British ironmaster named G.B. Thorneycroft decided that the wages of his puddlers "should fluctuate with the price of 'marked bars' - these words indicating a quality of iron that then enjoyed a high reputation...The puddlers received, as a rule, 1 shilling for each pound of the selling price" (Munro, 1889, p.141). By the 1880's, arrangements linking wages to product prices were generally referred to as "sliding scales." In Britain, they had become standard practice for skilled iron and steel workers (Munro, 1885) and common in coalmining, where wages of about 120,000 men were linked to coal prices (Munro, 1885, 1889). In the metals industries sliding scales were gradually extended to unskilled as well as skilled occupations (Pool, 1938) and covered 220,000 men as of 1925 (Great Britain Ministry of Labour, 1925, p. 269). In coalmining, “conciliation boards” set up in the 1890s effectively applied sliding scales (Bowie, 1927; Treble, 1987). In 1921 coal miners’ unions and employers abandoned the sliding scale, but only to replace it with a similar scheme that linked wages to the mines’ operating profit (Bowie, 1927). In coking and iron mining sliding scales were used through the 1920s, if not later (Great Britain Ministry of Labour, 1925, p. 269). At least some “profit-sharing” schemes in gasworks after the 1880s were actually sliding scales (Matthews, 1988). Textile unions and manufacturers negotiated the terms of a sliding scale for many months in 1899, but did not adopt it (Price, 1901). In the United States, as in Britain, sliding scales were most widespread and long-lived in iron and steel. By the 1870s they determined skilled workers’ wages in most plants manufacturing iron rails, iron sheets or tin plate (Massachusetts Bureau of Statistics of Labor, 1881, p. 18; Asheley, 1903, p.154) and in many steel plants (American Iron and Steel Association, 1888, pp. 117, 297). Unions of iron and steel workers were expelled from most plants in the 1900s after the formation of the U.S. Steel Corporation, but where unions hung on they continued to bargain in terms of sliding scales through the early 1930s (Robinson, 1920; Chazeau and Stratton, 1937, pp. 143-144). There were many instances of sliding scales in mining: coking coal (Jeans, 1902, p. 19); Pennsylvania anthracite, “forced upon the operators in 1869 by trade union pressure” and used off and on through -2the 1900s (Fisher, 1942, pp. 287-292); Colorado silver mines from 1893 to 1896 and copper mines from 1907 (Greenfield, 1960, p. 116-122). A few instances of sliding scales can be found elsewhere: in the textile mills of Fall River, Massachusetts from 1905 to 1910 (Howard, 1920), in glass factories from the 1880s through the 1900s (Davis, 1949, pp. 132, 187), and in copper smelting and refining through the 1930s (U.S. Bureau of Labor Statistics, 1943, pp. 28-29). Sliding scales fascinated contemporary economists and public officials involved in labor relations. In 1881 Carroll Wright recommended the adoption of sliding scales in Massachusetts (Massachusetts Bureau of Statistics of Labor, 1881, p. 74). Members of special commissions on labor relations conducted by the British parliament in the early 1890s, and the U.S. Congress around 1900, frequently inquired about the use of sliding scales, spoke favorably of industries that used them, and quizzed representatives of other industries as to why they did not (Great Britain Royal Commission on Labour, 1892, 1894; U.S. Industrial Commission, 1901). An Edinburgh University professor named J.E.C. Munro proclaimed the sliding scale to be "the greatest discovery in the distribution of wealth since Ricardo's enunciation of the law of rent. That it has a great future before it, not only in the iron and coal trades, but in other industries, I have no doubt" (1885, p. 26). One noted benefit of sliding scales was the adjustment of wages to monetary shocks: For there can be little doubt that the appreciation of gold is at present a disturbing factor of no small magnitude in industrial relations, and that in some instances workmen exhibit a somewhat pertinacious insistence upon nominal wages...But the automatic adjustment of wages to prices effected by a sliding scale entirely avoids the difficulty occasioned by a general appreciation of gold. (Price, 1887, p. 96). Alfred Marshall recommended that labor arbitrators “adopt a self-adjusting sliding scale” that took into account the cost of raw materials as well as the product price, with a caveat that “it is often difficult for working men even to ascertain the real price at which the product of their labour is being sold” (Marshall and Marshall, 1881, p. 216-17; see also Marshall 1887, p. xix). Arthur Pigou similarly judged that a sliding scale “may easily, for all its inaccuracies, do a considerable amount of good” (1905, p. 104), though he later observed that “In an industry engaged in making a number of -3different articles, particularly if the quality and nature of these varies from time to time - ships, for example, or ladies hats - the technical difficulty of finding any price, or combination of prices, that will correctly indicate variations in the demand for labour is very great...Hence the range over which the remedy of sliding-scales can be applied is restricted somewhat narrowly by purely technical incidents” (1927, p. 287). Modern economic theory agrees with those early economists on the potential usefulness of linking wages to product prices. Weitzman (1984) argues that the widespread adoption of wageindexing schemes like sliding scales would boost aggregate employment and dampen the real effects of monetary shocks. Apart from the macroeconomic benefits described by Weitzman, models of long-term employment contracts imply that employers and employees would have strong private incentives to index wages to prices of their product, or to product prices less costs of non-labor inputs. This holds even if employees are risk-averse, and whether or not wages are also linked to other variables like prices of consumption goods. Conditioning the wages of a workforce on future realizations of output value can benefit both sides by preventing separations when the value of a worker’s product in the enterprise falls, but remains above the prospective value of his next-best job. An employer would gain a more certain stream of profit. An employee would gain a smaller risk of layoff, which could more than compensate for increased variability in his wage if he is not laid off. To rule out the use of sliding scales, it is argued (or simply assumed) that such indexation is impossible because of the “technical difficulty” referred to by Pigou and Marshall: employees are unable to observe variables sufficiently correlated with the value of output and/or raw materials cost (for example Blanchard, 1979; Hart, 1983; Azariadis and Stiglitz, 1983; Hall and Lazear, 1984). Historical sliding scales have been discussed in this context, when they are discussed at all, in economics literature of recent decades (Weitzman, 1984 pp. 78-79; Hall and Lazear, 1984, p. 255). Treble (1987) argues that sliding scales were adopted in nineteenth-century British coalmining to transfer risk from mineowners to workers, and the industry moved away from sliding scales “as a -4part of a process by which the burden of the risk induced by shifts in the demand function for the output was shifted from the employees to the employers” (p. 85). From this point of view, the history of sliding scales in general is puzzling. In Britain, sliding scales never spread beyond metals and mining. There they remained in force until the advent of general wage and price controls in the Second World War, but they were not revived after the war (Haynes, 1953, p. 26; Burn, 1961, p. 27). In the United States, it is hard to find instances of sliding scales after the 1930s. In 1940 the U.S. Bureau of Labor Statistics reported the existence of sliding scales in just one industry, the mining and smelting of nonferrous metals (such as copper, zinc, and nickel) (U.S. Bureau of Labor Statistics, 1940, p. 13). In 1951, the BLS observed that even in this industry “the general practice of gearing wages to prices declined appreciably in the early 1940's” (U.S. BLS, 1951, p. 48). It is almost (though not entirely) impossible to find sliding scales in recent years.1 Perhaps there was an decrease after the 1930s in the share of workers making goods with easily definable prices. But there was certainly a vast increase across the 1930s and 1940s in the number of employers making long-term contracts with unions (Freeman, 1998). There was also an increase in information available to workers about prices of products and materials, in the form of wholesale or producer price series collected by government agencies. In the U.S., at least, the quality and scope of such series have improved steadily over the course of the twentieth century (Hanes, forthcoming), and there have been many instances of indexing long-term contracts other than wage agreements to PPIs (U.S. BLS, 1991). Why were sliding scales common and long-lived in metals and mining, but rare in other sectors before the 1930s? Why did sliding scales disappear almost entirely after the 1930s? In this paper, I attempt to answer these questions. First, I describe the characteristics of sliding scale wage 1 Union contracts with the Magma Copper Company linked hourly wages to copper prices, along with the CPI, through 1992, when the arrangement was replaced by one linking hourly wages to operating profit (Charlier 1991, 1992) along the lines of the 1920s British coal scheme. In the 1990s union contracts with Inco, a Canadian nickel producer, linked wages to the spot price of nickel (Bagnell, 1997). -5agreements in Britain and the U.S., how sliding scales were viewed by contemporaries, and why employers and unions abandoned sliding scales after trying them, or rejected proposals to adopt sliding scales. I find that it was hard for employees to observe output values and materials’ costs even in enterprises where outputs and materials were relatively homogenous goods with observable open-market prices. When employers and unions did adopt sliding scales, it was not for the reasons suggested by models of long-term contract indexation, but rather to reduce the frequency of strikes in an institutional environment where long-term employment contracts did not exist. I present a model, based on standard models of strikes as a consequence of asymmetric information (such as Hayes, 1984; Hart, 1989), to demonstrate how sliding scales could prevent strikes by revealing employers’ private information about product demand. I argue that this best explains what contemporaries said about sliding scales in the nineteenth and early-twentieth centuries, and helps explain why sliding scales disappeared after the 1930s. 1. The structure of sliding scales Most sliding scales were negotiated between a labor union or alliance of unions, on the one hand, and a firm or trade association of firms on the other. The terms of a sliding scale defined a relation between a product price, or set of prices, and money wage rates to be paid for specified jobs (rather than the wage for a specified employee) by piece- or time-rate. Nearly all sliding scales set minimums below which wages could not fall, no matter what happened to the product price(s); many set maximums. In some scales the relation between wages and price(s) was nearly continuous, for example, a schedule giving percent increases over the minimum wage rate as a function of per cent differentials between the price(s) and a base level. Other scales fixed wide, discrete steps. Sometimes the price governing a wage was that of a good actually handled by the worker, but that was not always or even usually the case. Often wages for workers producing a variety of goods were set by the price of just one or two products. In American iron mills, for example, all wages were set by the price of iron bars (Robinson, 1920). Sometimes wages were set by the price -6of a good further down the chain of production from the workers’ own output. Wages of British iron ore miners were set by the price of pig iron (Munro, 1885, p. 8). In Wheeling, West Virginia, where the principal industry was the manufacture of nails, nail prices determined coal miners’ piece rates (Massachusetts Bureau of Statistics of Labor, 1881, p. 18). It was generally recognized that the terms of a sliding scale had to be adjusted in response to changes in outside labor-market conditions or prices of nonlabor inputs. Munro (1885) observed: A sliding scale does not bind the miner to remain in the employ of his master. It only fixes the wages whilst the relation of employer and employed continues, and leaves either party free to determine that relation by the usual notice to quit. That there are many obstacles to the free migration of labour is well known, but in so far as it does exist it tends to establish an economic minimum wage for every sliding scale (p. 25) Sometimes an employer would refrain from making a wage cut allowed by an existing agreement because he feared it would cause workers to quit and take other jobs, as the agreed-upon wage scale would be lower than the wages workers could earn elsewhere (Massachusetts Bureau of Labor Statistics, 1908, p. 267). In British coalmining, the wage and the price ruling at the time have been taken as’standards.’ Then..the colliers have become dissatisfied with this basis, and pressed for its revision; the reason invariably being that they found, or though they found, that their average wage under the sliding scale did not give them the same net advantages as were being earned by other trades with which their labor could be put into comparison. In other cases the masters have revised the standards for exactly the opposite reason (Smart, 1895, p. 74). The British Commission on Industrial Relations observed that: A common difficulty in settling or revising the basis of sliding scales arises from one party or the other contending that other circumstances besides the average wages and selling prices for a preceding term of years should be taken into consideration, such as changes in the cost of material, or the state of the labour market, or the relative wages of men in other districts and like industries, or competition with other districts and countries. An experienced witness giving evidence on behalf of employers in the iron and steel trade thought that, in view of this,..any sliding scale would require revision every few years (Great Britain, 1894, p. 42) In practice, sliding scales were revised much more often than “every few years.” In British metals, agreements were not expected to last more than a year or two (Pool, 1938, p. 158). In American -7iron and steel the sliding scale was renegotiated once a year (U.S. Bureau of Labor, 1904, p. 237). Many sliding scale agreements did not have a term at all, allowing either party to withdraw after giving notice for a specified number of weeks (for example in textiles [Massachusetts Bureau of Labor, 1908, p. 264]). Adjustments to materials costs were frequently anticipated by including materials prices in the sliding scale formula. In the British tinplate and galvanizing industry (Pool, 1938, p. 161) and Fall River textiles (Thayer, 1909), for example, wages were set as a function of the difference between a product price and prices of raw materials in the quantity required to produce a product unit. This differential was referred to as the employer’s “margin.” 2. Practical problems with sliding scales Why did unionists and employers abandon sliding scales, or refuse to adopt them in the first place? In many cases, it was because it was impossible to define a product price, or impossible for workers to observe product prices. In the early 1890s the secretary of a union in the nut and bolt industry, one R. Juggins, told members of the British Royal Commission on Labour that the sliding scale: does not apply in my trade at all, because it is very difficult to get at the prices. It is not like the iron or coal trade where the prices are published. Ours being a trade which embraces a great number of technicalities and specialities it is impossible for us to find out what price the employers get for them (Great Britain, 1892, p. 471). A few years later the president of the glass workers’ union told the United States Industrial Commission that, despite his union’s experience with sliding scales in some lines of goods, our union does not like the sliding scale...The sliding-scale system must be based now on certain rebates and discounts that you can hardly find out. You must depend a great deal on the honesty and integrity of the manufacturers. It is hard to reach. They have an understanding among themselves that they will sell a certain amount of glass to a dealer, and if he buys so much he will get a certain rebate (U.S. Industrial Commission, 1901, p. 934). A Massachusetts state labor arbitrator was asked: Q. Do you think it is possible in the boot and shoe industry in the State to establish between the workmen and the employers...a sliding scale agreement, changable, say, in 90 days by the working committee on each side. Would that be more advantageous to the business in giving stability of employment to the men, and a perfect knowledge on the part of the employers as to what would be -8the cost of the goods and what they could market them for? A. Theoretically, I should say yes; practically, I should have little expectation of anybody carrying it out in good faith...I can conceive of a shoe manufacturer meeting his workmen to make up a new list, as you say, on a sliding scale that would take into consideration the present cost of production and stock, but the first difficulty you would run against would be this, that the workmen would not believe a word of what the manufacturer said as to what his goods cost him or what he sold his goods for (U.S. Industrial Commission, 1901, p. 918). In the textile mills of Fall River, Massachusetts, unions and employers adopted a sliding scale in 1905. The first scale adjusted wages every two weeks as a function of the “margin” between the price of one type of plain print cloth and the price of raw cotton required to produce the priced quantity of cloth, with both prices taken from a New York City commercial publication (Massachusetts, 1906, p. 195). It became apparent that this product’s price was not an adequate indicator of changes in prices for the mills’ full range of products. Though Fall River was “the center of the plain rather than of the fine goods manufacture...products are less diversified than elsewhere” (Howard, 1920, p. 14), “probably less than one-third of the product” was plain goods, “the main product being ‘fancies’ and ‘odds.’ Under the present system a fall in the price of print goods would lower wages, even though the mill was not running on prints at all and indeed it might be making a large profit on fancies” (Massachusetts, 1906, p. 195-96). Another problem was accounting for the cost of raw cotton. The cotton price in the original scale was a spot price, but the workers (or the union leaders) soon came to understand that this was not the same as the cost of the cotton input, because of “the buying of raw materials in the future on present quotations, and the existence of stocks” (Chapman, 1903, p. 191). The unions “contended that an advance in the price of cotton did not mean an increase in the cost of manufacturing unless the agents actually bought cotton at the higher price,...The mills had been stocked with cotton, so that it was unnecessary to buy at the high quotation” (Lincoln, 1909, p. 458). To mitigate these problems, the scale was amended to base wages on an average of prices of -9two types of plain goods rather than one, and set wages for six months at a time, based on six-month averages of cloth and cotton prices. According to a contemporary observer, No doubt the six-month basis was an improvement. But there is a difficulty present no matter upon what intervals agreement is reached. There is not much object in averaging raw cotton prices for a week or even for six months with a view to determining wages unless it is known that the cotton used in production was actually bought at the prices averaged. Examination of commercial statistics shows that by far the heavist buying of cotton stocks by mills..is in the months of October, November, December and January of each year...It is evident that any system of basing wages on margins averaged for six-month periods ending in May and November does not fairly allow for the uneven distribution of cotton purchases throughout the year. And yet an adjustment of the dates of margin and wage calculations to meet this seasonal fluctuation is not easy for the fluctuation is not regular (Howard, 1920, p. 36). In 1910 the unions and firms gave up on sliding scales and reverted to negotiation over fixed wage rates (Howard, 1920). In mining, materials costs were unimportant. Products were fairly undifferentiated commodities. It could nonetheless be difficult to observe the product price, because most mines sold output on long-term contracts rather than on spot markets. Thus, prices for sliding scales for most mining sliding scales were not taken from business publications, but rather were calculated from employers’ books. This could require an investigation by at least two accountants, one hired by the union (for example Smart, 1895, p. 66). The cost and trouble of examining the books caused a “difficulty of adjusting wages at short intervals of time...in a large coal firm the frequent examination of books would probably cause much inconvenience” (Munro, 1889, p. 144). But if wages were adjusted infrequently, when prices rise, wages do not follow them until the end of the revision period...the colliers become impatient...their attention is attracted by additional men being drafted into the pits in order that their masters may secure the rise in price over a larger output. They thus become aware that, if not bound by the sliding scale, this would have been a favourable opportunity to press for an advance of wages, and they perhaps throw off the scale (Smart, 1895, p. 94) Apart from the costs of ascertaining contract prices, there were difficulties caused by the difference between them and current spot prices, since “the rise of wages which might be expected from the - 10 current newspaper quotations for coal does not come at the end of the revision-period, and may never come at all if prices fall again before the contracts expire” (Palgrave, 1896, p. 411). “When..the miner, expecting an advance of wage, is told that half or more of the output of the colliery has been sold for months ahead at the previous low price, it is very natural that he should either disbelieve the figures, or ask by what right his labour has been thus disposed of” (Smart, 1895, p. 95). In one coalmining sliding scale this problem “was met by the clause that ‘any contract for the sale of coal for a period of more than twelve months shall not be taken into account for more than six successive audits of two months each” (p. 86).2 The iron and steel industries’ sliding scales were generally judged to be the most successful. Unlike mines, metals firms did not usually enter into long-term sales contracts: “the ‘long contract’ or selling-ahead’ system, which..has always endangered the sliding scale in the coal industry, does not exist at all in the iron and steel trades” (Asheley, 1903, p. 150). Prices of most goods were closely correlated, so prices of just a few goods could stand for output prices in general: “when anything goes up on one piece of iron, no matter what its shape, it comes up all along the line in the same degree” (U.S. Industrial Commission, 1901, p. 98). Still, the product market was such that it could be hard to determine what any goods’ prices really were. In the 1870s and 1880s, American iron plants’ sliding scales linked wages to the official published prices of the employers’ trade association, “an organization whose sole function, it appears, was to fix prices,” but: “This scheme caused considerable friction, because iron was frequently reported to be selling above the official..rate” (Robinson, 1920, pp. 146). The agreement was revised to determine an average selling 2 Pennsylvania anthracite was subject to a problem that was unique, but which illustrates the range of problems that could arise in practice. At first, wages were based on coal prices at a shipping point within the mining region. But the railroads shipping the coal out of the region were owned by the same companies operating the mines, and the miners “thought themselves victimized by the high freight rates which the large companies..as common carriers charged themselves as operators” (Virtue, 1900). When arbitrators re-established a sliding scale after the great strike of 1902, they were careful to base wages on coal prices “at New York Harbor” (Fisher, 1942, p. 292). - 11 price from a sample of transactions provided by the trade association, where “in case of doubt, a committee of the union might examine the employers’ books and bills of sales” (p. 147). This process took time and effort on both sides, partly because the manufacturers wanted to keep their sale prices secret from other firms. In 1899 a former union president described it to the U.S. Industrial Commission: they meet us in these conferences, and agree with us that we shall select a number of mills, and that those manufacturers will send every two months to the secretary of their organization - there is an organization of the manufacturers, but they do not control the selling price as they used to do - and that they shall take a statement of all sales made in those particular mills for those two months, and the price at which the articles were sold; make a sworn statement to that effect, and send it sealed to the secretary at the end of every two months. Our committee goes over and these statements are opened in their presence and by the committee...The other manufacturers are very jealous of the prices at which they sell, so that we are in secrecy ourselves. We appoint a committee and they determine it for our men. They are satisfied with the determination of the thing; and the manufacturers themselves do not know what the others have sworn to except as they gather it on the outside - on the market, so we have a pretty tight compact (U.S. Industrial Commission, p. 96) Often, as in this case, it was necessary for union members to trust their leaders’ interpretation of information that could not be revealed to the members, or easily understood by them. An employer told the British Labour Commission that in his trade problems were caused by the difference between producers’ selling prices and “the prices which speculators get.” Employees “saw, say, [a price of] 66 s[hillings per ton] quoted in the newspapers, they only found (I am instancing a specific case) 45 s realized over the quarter” on the employers’ books. While the union’s leaders understood the difference, they “have behind them a large body of persons not very familiar with the operations of the trade whom they have to persuade” (Great Britain, 1892, volume 1 p. 77). One reason the Fall River sliding scale was amended to adjust wages at six-month rather than two-week intervals was to make “the relations between the fluctuations of the cotton market and the rate of wages clearer to the uninformed operatives” (Lincoln, 1909, p. 460; see also pp. 457458). The British Commissioners concluded that that to make sliding-scales work, in some situations “the only remedy seems to be..that the workmen at large should trust their representatives, - 12 and delegate the fullest powers to them.” (Great Britain, 1894, p. 42). 3. Why unions and employers adopted sliding scales 3.1 What contemporaries said Some contemporary observers of the 1860s to the 1930s stated that the benefits of sliding scales include stabilization of profits and/or employment. These are the benefits of indexing wages to prices within a long-term contract. In 1882, a British labor arbitrator noted that “in times of depression its tendency must be to enable the capitalist to keep his works going, and his hands employed until brighter times dawn again upon them” (quoted in Price, 1887, p. 79). In 1889, the chairman of the U.S. Industrial Commission asserted that a sliding scale “makes labor more stable in its hours and days” (U.S. Industrial Commission, 1901, p. 386). The authors of a 1940s BLS bulletin stated that in copper mining “The automatic adjustment of production cost in response to changing metal prices tends to stabilize company earnings and may contribute somewhat toward regularity of employment (U.S. BLS, 1943, p. 8). However, according to every contemporary statement on the subject that I have found, the main reason that union(s) and employer(s) adopted sliding scales - usually, the only reason mentioned - was to reduce the frequency of strikes and lockouts, or “industrial warfare” in the language of the time. Such statements include Great Britain (1894, p. 41), U.S. Industrial Commission (1901, p. 344), Pool (1938, p. 172), Marshall (quoted by Smart, 1895, p. 63). Jevons (1915) describes the development of the sliding scale in British coalmining as follows: During the nineteenth century, whenever a slump of trade set in, coal owners found the margin of profit being turned into a loss, and were forced to try and economise by reducing wages. More often than not this led to a strike, in which the men had to give way,..The men, finding that they had to accept a reduction of wages from time to time, took care to agitate for an increase when trade improved, with the result that there were sometimes also strikes when trade was improving as well as when it was collapsing..a colliery owner would give way after resistance because with increasing prices there was ample room for higher wages. The frequency with which labour disturbances arose solely from the rise and fall of the market, led to a general desire to make some arrangement betweenn masters and men which would allow for, and regulate, changes in wages in accordance with the state of trade. - 13 After a good deal of local discussion, the idea of the Sliding Scale, in which wages varied automatically with the price of coal, took definite shape (p. 490). Read (1894) argued that sliding scales were especially useful in the British coal fields of South Wales, because their product market made strikes especially costly. Most South Wales coal was used to fuel steam engines, the Welsh mineral being far away the best fuel yet discovered for steam-raising purposes. But it is an indispensable requirement that deliveries from the Welsh ports be regular...the foreign railways and navies, and the great steamship lines, must be able to depend without doubt upon the due delivery of the primary requisite for power. Hence the need for continuity of output; and this is obtained through the sliding scale agreement (p. 332). (See also Morris and Williams 1960, p. 175). Most observers, even those otherwise critical of sliding scales, judged that generally “sliding scales have succeeded..in doing that for which they were chiefly proposed, in making the process of distribution more peaceful” (Chapman, 1903, p. 195). Smart (1895) observed that in British coal “during the period of depression since 1891, which resulted in the great strike of 1892 in Durham and the disastrous lockout of 1893 in the Midlands, South Wales, regulated entirely by the sliding scale, passed through the crisis without more than two or three weeks’ interruption of work” (p. 64). In the 1890s Sidney and Beatrice Webb (1897) observed that, in the branches of the British iron trades where arbitration set wages by sliding scales, “on every occasion the arbitrator’s award has been accepted by both employees and employer” (p. 232); “the Board itself was able, on eight separate occasions, to agree to advances or reductions without troubling the arbitrator at all” (p. 233). As the use of sliding scales spread throughout British iron and steel in the early twentieth century, the absence of strikes in the industry became notable (Knowles 1952, p. 172). According to Pool (1938), iron and steel was: the only important trade both to use these scales and the remain free from major industrial disputes (apart from the general strike of 1926) for half a century..During the post-war period, for instance, iron and steel workers accepted wage reductions greater than those imposed in most other industries, without any conflict arising...there can be no doubt that, in the absence of sliding scales, - 14 they could not have been negotiated without serious risk of a stoppage (pp. 172-173). Even in Fall River textiles, where the sliding scale was abandoned after a few years, it was judged to have been successful in forestalling strikes. It was adopted soon after the “Great Strike of 1904", when workers struck for nearly six months because employers had cut wages 12.5 percent following a prolonged decrease in demand for their cloth (Howard, 1920, p. 20). The sliding scale was in force, with wages adjusted every six months, when the demand for output fell again after the Panic of 1907. The events of the next six months, ending in May 1908, illustrate best of all the chief benefit to be derived from a sliding scale of wages...the sullen preparations for resistance to an expected reduction of wages, which usually marked a sharply declining market, were entirely absent..When on May 25 the time again came for the semiannual adjustment of wages,...it was found that [the scale] called for a reduction in wages..amounting to a general reduction in wages of all the workers of 17.94 per cent (Lincoln, 1909, p. 463). There was no strike, even though this was “the heaviest reduction that has ever been made at one time in the history of Fall River” (Massachusetts Bureau of Labor Statistics, 1908, p. 260). 3.2 Sliding scales and strikes in the absence of long-term contracts Why did contemporaries describe sliding scales as a way to avoid strikes? Models of strikes as a consequence of asymmetric information show that strikes can occur if the employer knows more than the union about the value to the employer of the union’s cooperation (Hayes, 1984; Hart, 1989; Cramton and Tracy, 1992). “Profitable firms lose more from a strike than unprofitable firms and hence will settle early for high wages, while unprofitable firms will be prepared to delay agreement until wages fall. The reason that the parties cannot do better by avoiding the strike and sharing the gains from increased production is that there is no way for an unprofitable firm to ‘prove’ that it is unprofitable except by going through a costly strike” (Hart, 1989, p. 25). In other words, it is best for the union to follow a negotiating strategy that occasionally results in strikes, despite the costs of lost production opportunities, because it allows the union to gain a higher wage - 15 in response to information initially possessed by the employers alone. At the same time, a union may be willing to enter a contract with an employer that would prevent the union from going on strike within the term of the contract, in order to attract more capital to the enterprise, which improves the combination of wages and employment available to the union. Absent a long-term contract, an employer would reduce capital investment in anticipation of the union’s future efforts to extract capital’s quasi-rents (Grout, 1984). Within a long-term labor contract, wages are linked to variables like product prices in order to condition contract terms on information that neither party can observe when the contract is signed but which will be available both parties in the future. A contract is possible if each party faces a substantial cost of violating the terms of a contract, beyond the cost of an immediate breakdown in the employment relation. The cost may be imposed by the state or, under limited conditions, correspond to the loss of a valuable reputation for holding to agreements. Contracts between employers and unions were not possible in Britain or the United States before the 1930s. As far as the state was concerned employees were always equally free (or equally forbidden) to strike, whether or not the employer had a “contract” with a union or contracts with individual members of the union (except during and just after the First World War, when both countries’ governments regulated employment bargaining to prevent strikes and maintain war production) (Smith, 1950, p. 839; Steinfeld, 1991). A union’s actions might be constrained by concern for its reputation, but it is easy to find examples of unions abandoning agreements and going on strike before the end of an agreed-upon term (such as Fisher 1942, p. 283; Read, 1894, p. 334). I argue that the sliding scales of the nineteenth and early twentieth centuries were not an instance of long-term contract indexation, but rather an alternative to strikes as a device to extract an employer’s private information about product demand. A sliding scale could give union members high wages when the value of labor’s product was high, and low wages to preserve employment - 16 when product value was low, while avoiding strikes and maintaining higher capital investment in the enterprise. This can explain why contemporaries described the prevention of strikes as the chief benefit of sliding scales. It can also help account for the disappearance of sliding scales after the 1930s. In the next section of the paper, I present a model to demonstrate my argument. 4. Model 4.1 Overview of the model This model describes interactions between a union and an industry - a set of firms producing the same good. I assume that any agreed-upon terms of employment set the wage per worker but leave the employers free to choose the employment level. This assumption is hard to justify theoretically but anything else would be wildly unrealistic (for a discussion of this point see Farber [1986]). The union’s preferences across wage rates reflect those of a union member who acts to maximize his expected wage income subject to given union rules on voting and allocation of employment. The firms behave competitively in their product market, which is arguably realistic for some cases of sliding scales. An assumption that the union bargains with a product-market monopolist or cartel gives similar results, but is a bit more complicated. As in the simplest models of strikes as a result of asymmetric information, the union proposes terms of employment which the employers can accept or reject (making this a “screening” model in the terms of Kennan and Wilson [1990]), and the union can commit itself to strike for an interval of time or equivalently there is a fixed interval between the union’s offers (for a discussion of this see Hart [1989]). The marginal revenue product of labor in the industry depends on a fixed capital stock, the state of product demand and the relative cost of raw materials. The capital stock is chosen by firms in expectation of future interactions with the union. The realized state of product demand and relative raw materials’ cost is observed by the firms, but not by the workers. Under these assumptions, I show what happens in three situations: first, if the union and the firms “bargain” over fixed wage rates in the absence of long-term contracts; second, if they bargain - 17 over fixed wage rates with an ability to sign a long-term contract; third, if the union can offer the firms a sliding scale. In the absence of contracts, the union’s best fixed-wage strategy sometimes results in strikes. The strategy gains the union member a higher wage in the event that labor’s value is high, but the anticipation of future strikes lowers the firms’ investment in fixed capital, which tends to reduce the union member’s wage in any event. With long-term contracts, the union can commit not to strike in the future. That prevents the union from gaining a higher wage in the event that labor’s value is high, but it causes the firms to choose a larger capital stock, so it may increase the union member’s expected wage income: if it does, the union will sign a long-term contract. Finally, if the union member can observe the product price and materials cost, the union can offer the firm a sliding scale. The form of the sliding scale that maximizes the union member’s expected income matches the characteristics of historical sliding scales described above. Like the strike strategy, the sliding scale gains the union member a higher wage when labor’s value is high. But the firms always accept the offer of a sliding scale immediately: there are no strikes, whether or not the union can sign a long-term contract. The sliding scale is better for the union member than fixed-wage bargaining whether or not the union can sign a long-term contract. But the advantage of the sliding scale is greater in the absence of long-term contracts. 4.2 General assumptions and notation The industry is made up of many identical profit-maximizing, risk-neutral firms that produce a homogenous, nonstorable good. Time is divided into three periods. In period zero a firm chooses its capital stock K subject to a unit cost of capital (or required expected return) R . In each of the following two periods - period one and period two - a firm’s capital stock is fixed, while a firm can produce output Y using materials and labor. The quantity demanded in each period, per firm, is: YD ' D P Γ where Γ > 1 (1) - 18 where P is the price of the good and D is a demand variable. Each unit of output requires one unit of a raw material. The cost of the raw material relative to the product price is M < 1. Production also requires capital and labor, which are subject to diminishing marginal productivity. A firm can hire workers on an open competitive market at a going wage W per period, or from a set of workers belonging to a union. Effective labor input is higher if the firm employs the members of the union (perhaps because they have special skills, or because they are incumbents and it is costly to bring new workers into a firms' plants). Thus, if a firm employs union members its production function is: Y ' min ( X , K Θ L Λ ) where Λ % Θ < 1 (2) where X is the number of units of raw material and L is the number of workers employed. If the firm does not employ the union members, the production function is: Y ' min ( X , K Θ L / Φ Λ ) where Φ > 1 (3) In addition to costs of labor and materials, a firm is subject to a fixed operating cost Ω every period in which production takes place. The members of the union can coordinate their behavior, in a limited way. They cannot enforce transfers of income between members, or prevent a member from leaving the union to take employment on the outside competitive labor market. But they can make a common take-it-orleave-it offer of employment conditions to the firms in the industry, and commit to withdraw their labor for a period if the firms do not accept the offer. If the firms accept the union's offer but choose to employ fewer workers than the number of union members, union members are laid off in a predetermined order (for example, by seniority). Any union offer to the firms must satisfy a certain number of union members. (This number might be all of the members if union actions require a consensus, or a majority of members under majority rule.) This number of members, divided by the - 19 number of employers, is N. To simplify notation, we can set N equal to one by scaling all of the other variables to N. A union member supports actions that maximize his expected wage income, where I e denotes the expected value of wage income per period. Under these assumptions, the union will generally act to maximize expected wage income for the marginal member of the group required to approve an action. I refer to him as the “union member.” The firms in the industry accept or reject the union's offers as a group, so as to maximize expected profit for a firm. If they reject the union's offer, they can continue to negotiate with the union and wait for another offer, or replace the union workforce with new workers hired from the outside labor market. If the firms reject a union offer but continue to negotiate, there is a strike: for one period the firms' plants are closed, producing no output and incurring no costs (other than the required return to capital). The period’s potential sales are lost - they cannot be made up in the second period. Meanwhile the union members receive no labor income. If the firms choose to replace the union with new workers, the strike is aborted; the firms pay the new workers the going wage W and produce according to expression (3), while union members take other jobs at the going wage. Outside negotiation with the union, the firms are unable to collude. Thus, in periods one and two firms will produce the quantity of output that equates price and marginal cost. In period zero firms install capital to the point that the required return equals the expected value of the marginal revenue product of capital. What would happen if the union offered, and the firms accepted, a fixed wage W for all workers? The cost of production in a period, excluding the fixed cost of capital, would be: 1 Λ C ' Ω % M P Y % WL ' Ω % M P Y % W Y K & Θ Λ (4) This is less than the cost of producing with a replacement workforce as long as: W < W Φ (5) - 20 Taking the capital stock as given, setting the product price equal to marginal cost MC/MY determines the quantity of output for the period as a function of the wage, the capital stock, product demand and the relative price of raw materials. The corresponding product price, marginal revenue product of capital (taking the product price as given), and number of workers employed are: P(W,Z , K) ' R (W, Z , K) ' P MY MK Λ&Λ K &Θ Z Γ(1&Λ) W Λ 1 Λ%Γ(1&Λ) ' Θ ( Λ / W)Λ(Γ&1) K &(Θ%Λ) & Γ(1&Θ&Λ) Z Γ L ( W, Z , K ) ' where ΛΓ K (Γ&1) Θ (6) 1 Λ%Γ(1&Λ) 1 Λ%Γ(1&Λ) Z Γ (7) (8) W Z ' D (1&M) Γ&1 Γ The variable Z summarizes the effects of product demand and raw materials cost. Z can take one of two values: a high value ZH and a low value ZL . (This would be true if, for example, product demand D takes two values, high or low, while low product demand is sometimes offset by low raw materials prices.) Z’s value is realized and observed by the firms at the beginning of period one. It remains unchanged through period two. As of period zero, the probability that Z will turn out to be low is Π . This is known to both firms and workers. What wage would the union offer the firms in period one or two, taking the capital stock as given, if the union member knew the realized value of Z? The union will offer the highest wage that ensures employment to the marginal union member given Z. Thus, if Z is high, the union would offer the wage for which employment defined by expression (8) equals N (=1) for Z ' ZH , unless that wage would make it cheaper for the firms to replace the union members with workers hired at the outside going wage. Thus the union’s offer would be: - 21 WH,K ' Λ K (Γ&1) Θ Γ ZH for ΛK (Γ&1) Θ Γ (9) ZH < W Φ WH,K' W Φ otherwise If Z is low, the union’s offer is defined by expression (8) for Z ' ZL , unless that wage is less than the outside going wage, in which case the union would offer the outside going wage: WL,K ' Λ K (Γ&1) Θ Γ ZL for ΛK (Γ&1) Θ Γ ZL > W (10) WL,K' W otherwise Assume, however, that the union member cannot observe the realized value of Z. 4.2 Fixed wage rates What happens if the union’s offers to the firms consist of fixed wage rates? That depends on whether the union can enter into a binding long-term contract. Strikes in the absence of binding union contracts Suppose that the union is unable to constrain its future behavior in a binding contract. Then in period one, the union will take the capital stock as given and make the firms an offer that maximizes expected labor income for the union member. In period two the union can make another offer, unless the firms chose to replace the union with new workers. In the preceding period zero, firms choose the capital stock based on rational expectations of the relation between any given capital stock and the union’s behavior in the subsequent periods. For a range of values of the model’s parameters, the sequence of fixed wage offers that maximizes the union member’s expected wage income at each point in time will occasionally result in strikes. The capital stock chosen by the firms in period zero, anticipating strikes, is KSTR . The union’s first offer to the firms is the wage defined by expression (9) for K ' KSTR , denoted WH,K . STR - 22 If Z ' ZH the firms accept this offer; in the second period the union will offer the same wage and the firms will again accept it. If Z ' ZL there is a strike: the firms reject the union’s first offer but continue to negotiate with the union. After a strike, in the second period the union offers the firms the lower wage WL,K defined by (10). The firms accept the second offer. In period zero, looking STR forward to this sequence of offers, the union member’s expected wage income is: e ISTR ' (1&Π) WH,K STR Π % WL,K 2 (11) STR while the firms choose K STR such that: R ' (1&Π) R(WH,K , ZH , K STR) % STR Π (12) R(WL,K , ZL , K STR) 2 STR which means: K STR ' Λ Λ(Γ&1) R Θ &Λ&Γ(1&Λ) (1&Π) Γ &Λ(Γ&1) Z H WH,K STR % Π 2 Γ &Λ(Γ&1) Z L WL,K STR 1 Θ% Λ% Γ (1 & Θ & Λ) (13) For this sequence to prevail, it must be true that the firms reject the union’s first offer when demand is low, but accept it when demand is high. This holds as long as the fixed operating cost Ω falls within a certain range relative to the other parameters in the model. It must also be true that the union member is willing to run the danger of a strike, rather than immediately offer a wage low enough to ensure his employment in the event that demand is low. This holds as long as the possible loss of one period’s low wage is outweighed by the chance to gain a higher wage in the event that labor demand is high, which is to say if: (1&Π) (WH,K & WL,K ) > STR STR Π 2 WL,K (14) STR Assuming the wage offers are within the bounds determined by W and WΦ (a further condition on the model’s parameters), the capital stock is: - 23 KSTR ' Θ R Π (1&Π) ZH % ZL 2 Γ Γ& ( Γ & 1 ) Θ (15) The union member’s expected income is: (Γ&1)Θ e ISTR ' ΛK STRΓ ( 1 & Π ) ZH% Π 2 (Γ&1)Θ Γ&(Γ&1)Θ Θ ZL ' Λ R Π (1&Π) Z H % 2 ZL Γ Γ&(Γ&1)Θ (16) The union member is willing to run the danger of a strike ( expression 14 holds) as long as: (1 & Π) ZH % ZL Π 2 (17) > 1 Note that the size of the capital stock is positively related to the union member’s expected income, but it does not affect the union’s decision to strike. Long-term fixed-wage contracts Now suppose that the union can sign a long-term contract with the firms. A contract prevents the union from striking within the term of the contract if the employers pay the specified wage. The union will sign a contract if the union member’s expected wage income is higher under the contract than if the union were left free to strike. This condition may be satisfied by a contract that the union signs in period zero, setting a wage for periods one and two equal to WL , K CON - that is, the wage determined by expression (10) for the capital stock firms choose subject to the contract. Given this wage and capital stock, the union member would be employed in periods one and two whether Z turns out to be high or low, so his expected wage income under the contract is simply WL,K CON . This exceeds expected wage income without a contract (expression 11) if: (1&Π) (WH,K & WL,K STR STR ) < Π 2 WL,K STR % (WL,K CON &WL,K ) (18) STR Expression (18) can hold along with (14) because the firms will choose a larger capital stock if the - 24 union signs the long-term contract: K CON ' Λ Λ(Γ&1) R &Λ&Γ(1&Λ) Θ Γ &Λ(Γ&1) (1&Π) Z H WL,K CON Γ &Λ(Γ&1) Π Z L WL,K CON % 1 Θ% Λ% Γ (1 & Θ & Λ) (19) Assuming the wage offers are within the bounds determined by W and WΦ : Θ KCON' R ZH (1&Π) ZH % Π Z L (Γ&1)Λ Λ%Γ(1&Λ) Γ Γ& (Γ&1)Θ (20) ZL and (18) holds if: (1 & Π) ZH % ZL KCON / KSTR ' where Π 2 K CON < (Γ&1)Θ Γ&Θ(Γ&1) (21) K STR (1&Π) Z H % Π Z L (1&Π)Z H % (Γ&1)Λ Z H Λ%Γ(1&Λ) ZL Π 2 Γ Γ&Θ(Γ&1) ZL 4.2 Sliding scales If union members can observe the product price and the raw materials cost, the union can offer the firm a sliding scale. The sliding scale that the union would offer as a long-term contract in period zero is the same as the scale it would offer in the absence of a contract in period one and again in period two. It sets the sliding-scale wage WSS as a function of the product price and materials cost: Θ WSS ' Λ KSS (P & P M ) for Θ W # Λ KSS (P & P M) # WΦ Θ WSS ' W for Λ K SS (P & PM) < W WSS ' W Φ for Λ K SS (P & PM) > W Φ Θ (22) - 25 where KSS is the capital stock the firms chose in period zero. Note that this function matches the form of actual sliding scales: the wage is scaled to the manufacturer’s margin - the product price less materials cost - with a minimum (equal to the outside going wage) and a maximum (determined by the outside wage and the union workers’ productivity advantage). The wage and product price that would result from this scale are determined by (22) together with expression (6) above. This gives: WSS ' WH,K SS if Z ' ZH WSS ' WL,K SS if Z ' ZL (23) In the event that labor demand is high, the sliding scale gives the union the same wage it would have received in the first period in the absence of a long-term contract, given a capital stock equal to KSS . If labor demand is low, the sliding scale gives the same wage the union would have received following a strike. But there will never be a strike under the sliding scale, even in the absence of a contract. The firms will accept the sliding scale offer in the first period whether labor demand is high or low. Thus, as of period zero the union member’s expected labor income is: e ISS ' (1&Π) WH,K % Π WL,K SS (24) SS while the capital stock satisfies: K SS ' ΛΛ(Γ&1) R &Λ&Γ(1&Λ) Θ Γ &Λ(Γ&1) (1&Π) Z H WH,K SS % Γ &Λ(Γ&1) Π Z L WL,K SS 1 Θ% Λ% Γ (1 & Θ & Λ) (25) The union member’s expected wage income is higher under the sliding scale than under either the fixed wage contract or fixed wages and strikes in the absence of contracts. But the advantage of the sliding scale must be greater in the absence of contracts, for a union that would otherwise be willing to sign one. In the absence of contracts, the sliding scale promises the union member a gain in expected wage income equal to: - 26 e e ISS & ISTR' (1&Π) (WH,K & WH,K ) % SS STR Π 2 WL,K % ( WL,K & WL,K ) SS SS (26) STR Assuming that the wage offers are within the bounds given by W and WΦ : Θ KSS ' R (1&Π) ZH % Π Z L Γ Γ& ( Γ & 1 ) Θ (27) Γ Γ&(Γ&1)Θ (28) while: e ISS ' Λ Θ (Γ&1)Θ Γ&(Γ&1)Θ R (1&Π) Z H % Π ZL and: e ISS & e ISTR' Π WL,K % ( (K SS / KSTR) (Γ&1)Θ Γ SS where K SS / K STR ' (1&Π) Z H % Π Z L (1&Π) Z H % Π 2 e & 1 ) ISTR (29) Γ Γ&Θ(Γ&1) ZL Expression (29) shows that, in the absence of long-term contracts, there are two reasons the union member’s expected wage income is higher under the sliding scale. First, the sliding scale allows the union member to receive a wage in the first period, rather than nothing, in the event that labor demand is low. Second, it boosts the capital stock chosen by the firms, which increases the wage the union member receives in any event. Both of these reasons can be viewed as consequences of the elimination of strikes. Thus, it would make sense to describe the elimination of strikes as the advantage of the sliding scale. 5. Why did sliding scales disappear after the 1930s? After the 1930s, institutional developments made sliding scales less useful in the set of industries where they were feasible. In Britain, the mining and metals industries came under - 27 government controls that broke the connection between product demand, labor demand and the wages that unions could extract from employers. The beginning of the Second World War brought controls of product prices, output and employment. Coal mines were nationalized in 1947. In the 1950's, it was observed that the board regulating the industry “clearly does not aim to maximize profit” (Alexander, 1956, p. 165), as “Nobody disputes that the existing output of coal could be sold at a higher price” (p. 174), while the miners’ union maintained a “voluntary renunciation of the strike weapon” (p. 164) because of “the importance attached by influential leaders of the union to..the stability of political institutions in general and of the public corporation type of nationalization of coal-mining in particular” (p. 166). The iron and steel industry was under private ownership over most of the 1950's, following an aborted nationalization at the beginning of the decade, but “As maximum prices were set by the Iron and Steel board for most categories of steel products the producers were unable to raise their prices” (Blair, 1997, p. 573). After the industry was nationalized again in the 1960's it was “a participant in various counter-inflationary programmes as steel prices were subject to restraint by the government..not able to operate freely in the market..under political pressure not to declare redundancies [layoffs]..refused permission to increase its selling prices ” (p. 575, 576). By the 1970s firms in both the metals and mining industries were losing money, with workforces far greater than any profit-maximizing enterprise would choose to employ (Pryke, 1981, pp. 48, 59, 183-188). Over the 1980s the subsidies were stopped and the unionized industries ceased to exist (Fraser, 1999, pp.235-36, 241-242). In the United States, meanwhile, unions gained the ability to enter long-term binding contracts with employers as a result of the Wagner Act of 1935, the Taft-Hartley Act of 1947 and related court decisions. (In Britain, union wage agreements never became binding contracts in this way [Shackleton, 1998]). Workers that strike in violation of a contract lose protections afforded by the National Labor Relations Board system (against lockouts, for example), while a union organization that orders such a strike can be sued for damages (Mills and Brown, 1950, pp. 470- - 28 513). By the 1940s “the underlying goal of bargaining strategy..was to minimize industrial strife by negotiating long-term contracts...a multi-year contract without periodic reopenings” (Garbarino, 1962, p. 10). Long-term contracts came to prevail not only in the unionized mining and metals industries, but in almost all industries subject to strike threats. According to the model presented above, the advantage of a sliding scale over fixed wage rates is not as great within a long-term contract as in the absence of long-term contracts. Thus, the spread of long-term contracts reduced unions’ incentives to bargain over sliding scales rather than fixed wage rates. 6. Conclusion The sliding scales of the ninteenth and early-twentieth century were not adopted in order to stabilize firms’ profits or maintain efficient employment levels within long-term employment contracts. They were instead an alternative to strikes as a mechanism for dealing with employers’ private information about product demand in an environment where unions were unable to enter into long-term contracts. Sliding scales were usually unsuccessful outside metals and mining because it was hard for workers to observe employers’ product prices and materials costs, even in industries where outputs and inputs were homogenous goods with observable open-market prices. Materials cost to the employer could differ from spot prices because employers held stocks. Employers could be producing for long-term sales contracts rather than spot markets. Union members might distrust their representatives’ interpretation of employers’ price information that could not be revealed to, or understood by, the union rank and file. The problems that prevented the use of sliding scales in most industries before the 1930s were hardly alleviated by the increase in some kinds of information about product and materials’ prices. Long-term sales contracts that set prices, but not quantities are still common in goodsproducing industries (Blinder et. al., 1998, p. 92-95). It remains difficult to determine the cost to a producer of materials held in inventory, subject to transport and storage costs and uncertainty about future spot market prices. Union members still distrust their leadership, and economic theory - 29 suggests they are right to do so (Ashenfelter and Johnson, 1969; Cai, 2000). Meanwhile, in Britain, nationalization and other forms of government control made product demand irrelevant for union bargaining in mining and metals. In the U.S., unions gained the ability to enter long-term employment contracts, which reduced the potential advantages of sliding scales over fixed wage rates. Bibliography American Iron and Steel Association Bulletin, Volume 22, 1888. Alexander, K.J.W. “Wages in Coal-mining since Nationalization.” Oxford Economic Papers, June 1956, 8, 164-180. Asheley, W.J. The Adjustment of Wages: A Study of the Coal and Iron Industries of Great Britain and North America. London: Longmans, Green 1903. Ashenfelter, Orley and George E. Johnson, “Bargaining Theory, Trade Unions, and Industrial Strike Activity.” American Economic Review, March 1969, 59, 35-49. Azariadis, Costas and Joseph E. Stiglitz, "Implicit Contracts and Fixed-Price Equilibria," Quarterly Journal of Economics, 1983 Supplement, 98, 1-22. Bagnell, Paul. “Inco’s Sudbury Workers Approve Pact.” Toronto Financial Post, July 1 1997, p. 4 Blair, Alasdair M. “The British Iron and Steel Industry Since 1945.” Journal of European Economic History, Winter 1997, 26, 571-581. Blair, Douglas H. and David L. Crawford. “Labor Union Objectives and Collective Bargaining.” Quarterly Journal of Economics, August 1984, 99, 547-566. Blanchard, Olivier Jean. “Wage Indexing Rules and the Behavior of the Economy.” Journal of Political Economy, 1979, 87(4), 798-815. Blinder, Alan S., Elie R.D. Canetti, David E. Lebow and Jeremy B. Rudd. Asking About Prices: A New Approach to Understanding Price Stickiness. New York: Russell Sage Foundation, 1998. Bowie, J.A., "A New Method of Wage Adjustment in the Light of the Recent History of Wage Methods in the British Coal Industry," Economic Journal, September 1927, 37, 384-394. Burn, Duncan. The Steel Industry 1939-1959, A Study in Competition and Planning. Cambridge, - 30 UK: Cambridge University Press, 1961. Cai, Hongbin. “Bargaining on Behalf of a Constituency.” Journal of Economic Theory, June 2000, 92(2), 234-273. Carnegie, Andrew. The Gospel of Wealth and Other Timely Essays. Cambridge: Harvard University Press, 1962, reprint of 1900. Chapman, S.J., "Some Theoretical Objections to Sliding Scales," Economic Journal, June 1903, 13, 186-196. Charlier, Marj. “Magma Copper’s Workers Approve Pact the Protects Against Strikes for 7 Years.” Wall Street Journal, October 23 1991, p. A2:3. -- “Magma Copper Heals Its Workplace and Bottom Line.” Wall Street Journal, April 6 1992, B4:3. Daugherty, Carroll R, Melvin D. de Chazeau and Sameul S. Stratton. The Economics of the Iron and Steel Industry, Volume I. New York: McGraw-Hill, 1937. Davis, Pearce. The Development of the American Glass Industry (Harvard Economic Studies, volume 86). Cambridge: Harvard University Press, 1949. Farber, Henry. “The Analysis of Union Behavior.” In Orley Ashenfelter and Richard Layer, eds. Handbook of Labor Economics, Volume II. Amsterdam: North-Holland, 1986. Fisher, Waldo E., "Anthracite," in Harry A. Millis ed., How Collective Bargaining Works, New York: Twentieth Century Fund, 1942. Fraser, W. Hamish. A History of British Trade Unionism, 1700-1998. London: MacMillan, 1999. Freeman, Richard. "Spurts in Union Growth: Defining Moments and Social Processes." In Michael D. Bordo, Claudia Goldin, and Eugene N. White, eds., The Defining Moment: The Great Depression and the American Economy in the Twentieth Century. Chicago: University of Chicago Press, 1998. Pp. 265-95. Garbarino, Joseph W. Wage Policy and Long-term Contracts. Washington, D.C.: The Brookings Institution, 1962. Great Britain, Ministry of Labour, Ministry of Labour Gazette, "Adjustment of Wages by Sliding-Scale Arrangement," August 1925: 269-270. -- Royal Commission on Labour. Minutes of Evidence, Group A, Volumes I and II. London: HMSO 1892. --------- Fifth and Final Report, Part I, The Report. London: HMSO, 1894. - 31 -- Report of the Royal Commission on Trade Unions and Employer’s Associations. Chairman Lord Donovan, London: HMSO 1968. Greenfield, Henry I., Sliding Wage Scales, Columbia University Doctoral Dissertation, 1960. Greenwald, Bruce C. and Stiglitz, Joseph E., "Asymmetric Information and the New Theory of the Firm: Financial Constraints and Risk Behavior," American Economic Review, 80, May 1990, 160-165. Grossman, Gene M. “Union Wages, Temporary Layoffs, and Seniority.” American Economic Review, June 1983, 73, 277-290. --, Oliver Hart and Eric Maskin. “Unemployment with Observable Aggregate Shocks.” Journal of Political Economy, December 1983, 91, 907-928. Grout, Paul A. “Investment and Wages in the Absence of Binding Contracts: A Nash Bargaining Approach.” Econometrica, March 1984, 52(2), 449-460. Hall, Robert E. and Lazear, Edward P., "The Excess Sensitivity of Layoffs and Quits to Demand," Journal of Labor Economics, 1984, 2, 233-257. Hart, Oliver. “Optimal Labour Contracts under Asymmetric Information: An Introduction.” Review of Economic Studies, 1983, 50, 3-35. -- “Bargaining and Strikes.” Quarterly Journal of Economics, February 1989, 25-43. Hanes, Christopher. "Prices and Price Indexes: Introduction," in Historical Statistics of the United States, Millenium edition. Cambridge University Press, forthcoming. Haynes, William Warren. Nationalization in Practice: The British Coal Industry. Boston: Harvard University Graduate School of Business, 1953. Hart, Oliver. "Optimal Labour Contracts under Asymmetric Information: An Introduction," Review of Economic Studies, 1983, 50, 3-35. Hayes, Beth. “Unions and Strikes with Asymmetric Information.” Journal of Labor Economics, January 1984, 2, 57-83. Howard, Stanley, The Movement of Wages in the Cotton Manufacturing Industry of New England since 1860, Boston: National Council of American Cotton Manufacturers, 1920. Jeans, J. Stephen. American Industrial Conditions and Competition: Reports of the Commissioners appointed by the British Iron Trade Association to enquire into the Iron, Steel and Allied Industries of the United States. London: British Iron Trade Association, 1902. - 32 Jevons, H. Stanley. The British Coal Trade. London: Kegan Paul, Trench, Trubner and Company, 1915. Knowles, K.G.J.C. Strikes: A Study in Industrial Conflict. New York: Philosophical Library, 1952. Marshall, Alfred and Mary Paley Marshall, The Economics of Industry, London: MacMillan and Co., 1881. Massachusetts Bureau of Statistics of Labor, Twelfth Annual Report, 1881, Boston: Reed, Avery and Company, 1881. Massachusetts Bureau of Statistics, Thirty-Ninth Annual Report on the Statistics of Labor for the Year 1908, Boston: Wright and Poter, 1909. Matthews, Derek. “Profit-Sharing in the Gas Industry, 1889-1949.” Business History, July 1988, 30(3), 306-328. Millis, Harry A. and Emily Clark Brown. From the Wagner Act to Taft-Hartley. Chicago: University of Chicago Press, 1950. Morris, J.H. and L. J. Williams. “The South Wales Sliding Scale 1876-1879: An Experiment in Industrial Relation.” Manchester School of Economic and Social Studies, May 1960, 28(2), 161176. Munro, J.E.C., "Sliding Scales in the Iron Industry," Transactions of the Manchester Statistical Society, Sessions 1885-1886, 1-43. -- "Sliding Scales in the Coal Industry," Transactions of the Manchester Statistical Society, Sessions 1889-1890, 119-171. Palgrave, R. H. Inglis. “Sliding scale (wages).” Dictionary of Political Economy, volume II, 410411. London: MacMillan and Co., 1896. Pigou, Arthur C., Principles and Methods of Industrial Peace, London: MacMillan and Company, 1905. Pool, Arthur George. Wage Policy in Relation to Industrial Fluctuations, London: MacMillan and Company, 1938. Porter, "Wage Determination by Selling Price Sliding Scales 1870-1914," The Manchester School of Economic and Social Studies, March 1971, 39, no. 1, 13-21. Price, L. L. Industrial Peace: Its Advantages, Methods and Difficulties, London: MacMillan, 1887. Pryke, Richard. The Nationalised Industries: Policies and Performance since 1968. Oxford: Martin - 33 Robertson, 1981. Robinson, Jesse S., "The Amalgamated Association of Iron, Steel and Tin Workers," Johns Hopkins University Studies in Historical and Political Science, Series 38 No 2, 138-162. Baltimore: Johns Hopkins Press, 1920. Shackleton, J.R. “Industrial Relations Reform in Britain since 1979.” Journal of Labor Research, Summer 1998, 19(3), 581-605. Smart, William, Studies in Economics, London: MacMillan, 1895. Smith, Russell A. Labor Law: Cases and Materials. Indianapolis: Bobbs-Merrill, 1950. Steinfeld, Robert J. The Invention of Free Labor: The Employment Relation in English and American Law and Culture, 1350-1870. Chapel Hill: University of North Carolina Press, 1991. Treble, John G., "Sliding Scales and Conciliation Boards: Risk-Sharing in the Late 19th Century British Coal Industry," Oxford Economic Papers 39, 1987, 679-698. United States Bureau of Labor, Eleventh Special Report of the Commissioner: Regulation and Restriction of Output, Washington: GPO 1904. United States Bureau of Labor Statistics, "Wage-Adjustment Provisions in Union Agreements," Monthly Labor Review, January 1940, 50, 6-15. -- Wage Structure of the Nonferrous Metals Industry, 1941-1942, Bulletin 729, 1943. -- “Escalation and Producer Price Indexes: A Guide for Contracting Parties.” Report 807, September 1991. United States Industrial Commission, Report of the Industrial Commission on the Relations and Conditions of Capital and Labor, Volume 7, Washington: GPO 1901. Virtue, George O. “The Anthracite Miners’ Strike of 1900.” Journal of Political Economy, December 1900, 9 (1), 1-23. Martin L. Weitzman, The Share Economy. Cambridge: Harvard University Press, 1984.
© Copyright 2026 Paperzz