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Self-Fulfilling Mechanisms and Rational Expectations

Listed author(s):
  • FORGES, Françoise

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

  • MINELLI , Enrico

    (CORE, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium)

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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File URL: http://alfresco.uclouvain.be/alfresco/download/attach/workspace/SpacesStore/99d9292b-d717-459e-a3dd-0b3923d5c115/coredp_1994_44.pdf
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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 1994044.

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Date of creation: 01 Sep 1994
Handle: RePEc:cor:louvco:1994044
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  1. Palfrey, Thomas R. & Srivastava, Sanjay., 1986. "On Bayesian Implementable Allocations," Working Papers 624, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Forges, Francoise & Minelli, Enrico, 1998. "Self-Fulfilling Mechanisms in Bayesian Games," Games and Economic Behavior, Elsevier, vol. 25(2), pages 292-310, November.
  3. Forges, F., 1984. "An approach to communication equilibria," CORE Discussion Papers 1984035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Blume, Lawrence & Easley, David, 1990. "Implementation of Walrasian expectations equilibria," Journal of Economic Theory, Elsevier, vol. 51(1), pages 207-227, June.
  5. 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.
  6. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
  7. MINELLI, Enrico & POLEMARCHAKIS, Heracles, 1993. "Knowledge at Equilibrium," CORE Discussion Papers 1993054, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June.
  9. 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.
  10. 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.
  11. 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.
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