STATIONARY EQUILIBRIUM IN AN
ALTRUISTIC TWO SECTOR ECONOMY*
Subir Chattopadhyay and Ana Mora**
WP-AD 2003-07
Correspondence to: S. Chattopadhyay, Universidad de Alicante, Departamento Fundamentos
del Análisis Económico, E-03071 SPAIN, E-mail: [email protected]
Editor: Instituto Valenciano de Investigaciones Económicas, S.A.
Primera Edición Febrero 2003
Depósito Legal: V-898-2003
IVIE working papers offer in advance the results of economic research under way in order to encourage a discussion
process before sending them to scientific journals for their final publication.
* Chattopadhyay acknowledged financial support from the Spanish government (CICyT project
BEC2001-0980) and the Ivie. A preliminary and incomplete version of this paper appeared as the first
chapter in Moro´s doctoral dissertation at Universidad de Alicante. We thank J. Caballe, I. Collado, I.
Ortuño, S. Ortigueira and C. Urrutia for their comments on the dissertation. Any remaining errors are our
own.
** S. Chattopadhyay: Universidad de Alicante and El Colegio de México. A. Moro: Universidad de
Granada.
STATIONARY EQUILIBRIUM IN AN
ALTRUISTIC TWO SECTOR ECONOMY
Subir Chattopadhyay and Ana Moro
ABSTRACT
We study an overlapping generations economy with altruistic agents in which the
productivity of a child’s labour endowment depends on an idiosyncratic shock and on
the resources spent by her parent in education her. The parent cannot borrow but can
leave a nonnegative bequest which earns a deterministic return in the capital market;
this possibility mitigates the liquidity constraint faced by an agent when deciding on the
level of education for her child. The shock is assumed to follow a Markov process thus
allowing for serial correlation in abilities. A stationary equilibrium of the model is a
situation in which the endogenously determined aggregate amounts of capital and
efficiency units of labour remain constant, so factor prices are constant, the choices
made by agents can be summarized via an invariant distribution, and factor supplies are
determined by the mean, taken with respect to the invariant distribution, of the agents’
decision rules, and all the markets clear. We develop and discuss conditions under
which a stationary equilibrium exists.
Keywords: Stationary Equilibrium, Idiosyncratic Shocks, Altruism, Two Sector
Model, Human Capital
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