Self-Fulfilling Mechanisms and Rational Expectations

Francoise Forges and Enrico Minelli

No 1994044, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: In a Bayesian game G, the players first receive private information on the state of nature and then simultaneously choose an action. We assume that the vector of actions a generates a signal g(a). A mechanism for G is a mapping [ mu ] from the set of states of nature S to the product sert of players’ actions A. [ mu ] is self-fulfilling if, given the information revealed by [ mu ] (namely, g([ mu ] )(s)) if the state of nature is s), no player can gain in unilaterally deviating from the action prescribed by the mechanism. Let SF(G) denote the set of payoffs achievable through an incentive compatible self-fulfilling mechanism. Examples show that SF(G) may not intersect the set N(G) of Nash equilibrium payoffs of G. Obviously, SF(G) and N(G) coincide if G is a game of complete information. Let E be an exchange economy with differential information. We associate a ( Bayesian) market game GE with E. In GE, the signal generated by the players’ actions is a vector of prices. We prove that the allocations achieved through a self-fulfilling mechanism in GE coincide with the rational expectations equilibrium allocations in E. In order to understand how self-fulfillingness can be achieved in a dynamic framework, we analyze the relationship between SF(G) and the Nash equilibria of the infinitely repeated game G [ infinity] generated by G. We show in particular that SF(G) can be interpreted as a set of inert solutions of G [ infinity].

Keywords: communication equilibrium; Nash equilibrium; rational expectations equilibrium (search for similar items in EconPapers)
JEL-codes: C72 D82 (search for similar items in EconPapers)
Date: 1994-09-01
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Citations: View citations in EconPapers (3)

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Related works:
Journal Article: Self-Fulfilling Mechanisms and Rational Expectations (1997)
Working Paper: Self-fulfilling mechanisms and rational expectations (1996)
Working Paper: Self-Fulfilling Mechanisms and Rational Expectations (1996)
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