Self-Fulfilling Mechanisms and Rational Expectations
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].
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- Thomas R. Palfrey & Sanjay Srivastava, 1987.
"On Bayesian Implementable Allocations,"
Review of Economic Studies,
Oxford University Press, vol. 54(2), pages 193-208.
- Palfrey, Thomas R. & Srivastava, Sanjay., 1986. "On Bayesian Implementable Allocations," Working Papers 624, California Institute of Technology, Division of the Humanities and Social Sciences.
- Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
- Forges, Francoise & Minelli, Enrico, 1998. "Self-Fulfilling Mechanisms in Bayesian Games," Games and Economic Behavior, Elsevier, vol. 25(2), pages 292-310, November.
- F. Forges & E. Minelli, 1996. "Self-fulfilling Mechanisms in Bayesian Games," THEMA Working Papers 96-24, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Forges, F. & Minelli, E., 1996. "Self-Fulfilling Mechanisms in Bayesian Games," Papers 9624, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- Dubey, Pradeep & Shapley, Lloyd S., 1994. "Noncooperative general exchange with a continuum of traders: Two models," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 253-293, May.
- Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
- Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
- Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
- FORGES, Françoise, "undated". "An approach to communication equilibria," CORE Discussion Papers RP 721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- F. Forges, 2010. "An Approach to Communication Equilibrium," Levine's Working Paper Archive 516, David K. Levine.
- Forges, F., 1984. "An approach to communication equilibria," CORE Discussion Papers 1984035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Kaneko, Mamoru, 1982. "Some remarks on the folk theorem in game theory," Mathematical Social Sciences, Elsevier, vol. 3(3), pages 281-290, October.
- Mamoru Kaneko, 1981. "Some Remarks on the Folk Theorem in Game Theory," Cowles Foundation Discussion Papers 607, Cowles Foundation for Research in Economics, Yale University.
- Dubey, Pradeep & Geanakoplos, John & Shubik, Martin, 1987. "The revelation of information in strategic market games : A critique of rational expectations equilibrium," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 105-137, April.
- MINELLI, Enrico & POLEMARCHAKIS, Heracles, 1993. "Knowledge at Equilibrium," CORE Discussion Papers 1993054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June. Full references (including those not matched with items on IDEAS)