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Consistent collusion-proofness and correlation in exchange economies

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  • GIRAUD, Gaël
  • ROCHON, Céline

Abstract

We present a feasible strategic market mechanism with finitely many agents whose Nash, semi-strong Nash and coalition-proof Nash equilibria fully implement the Walrasian equilibria. We define a strategic equilibrium concept, called correlated semi-strong equilibrium, and show that the Walrasian equilibria can be implemented by the these equilibria, and also by the coalition-proof correlated equilibria of our mechanism. We show that these two concepts, suitably modified with transfers, fully implement the Pareto optimal allocations. We extend to semi-strong correlated equilibria Aumann's Bayesian interpretation of correlated equilibria.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2001018.

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Date of creation: 00 Apr 2001
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Handle: RePEc:cor:louvco:2001018

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Keywords: coalition-proofness; correlation; semi-strong equilibrium; implementation;

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References

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  1. Forges, F. & Peck, J., . "Correlated equilibrium and sunspot equilibrium," CORE Discussion Papers RP -1140, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Prescott, Edward C & Townsend, Robert M, 1984. "General Competitive Analysis in an Economy with Private Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 1-20, February.
  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. Sergiu Hart & Andreu Mas-Colell, 1997. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Game Theory and Information 9703006, EconWPA, revised 24 Mar 1997.
  5. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-93, November.
  6. Dubey, P. & Rogawski, J. D., 1990. "Inefficiency of smooth market mechanisms," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 285-304.
  7. Ray, Indrajit, 1996. "Coalition-Proof Correlated Equilibrium: A Definition," Games and Economic Behavior, Elsevier, vol. 17(1), pages 56-79, November.
  8. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
  9. repec:fth:louvco:01-19 is not listed on IDEAS
  10. Hong, Lu, 1995. "Nash Implementation in Production Economies," Economic Theory, Springer, vol. 5(3), pages 401-17, May.
  11. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, September.
  12. Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
  13. Peck, James & Shell, Karl, 1991. "Market Uncertainty: Correlated and Sunspot Equilibria in Imperfectly Competitive Economies," Review of Economic Studies, Wiley Blackwell, vol. 58(5), pages 1011-29, October.
  14. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-26, January.
  15. Forges, Francoise, 1988. "Can sunspots replace a mediator?," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 347-368, September.
  16. 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 937-68, October.
  17. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November.
  18. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  19. Postlewaite, Andrew & Wettstein, David, 1989. "Feasible and Continuous Implementation," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 603-11, October.
  20. Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 217-25, April.
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Citations

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Cited by:
  1. Jackson, Matthew O., 1999. "A Crash Course in Implementation Theory," Working Papers 1076, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. Sofia Pessoa e Costa & Stéphane Robin, 2007. "The Impact Of Training Programmes On Wages In France: An Evaluation Of The “Qualifying Contract” Using Propensity Scores," Working Papers of BETA 2007-18, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  3. Li Qin & Eleftherios Spyromitros & Moïse Sidiropoulos, 2007. "Monetary Policy with Uncertain Central Bank Preferences for Robustness," Working Papers of BETA 2007-23, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  4. Gael Giraud & Hubert Stahn, 2013. "Nash-implementation of competitive equilibria via a bounded mechanism," Review of Economic Design, Springer, vol. 17(1), pages 43-62, March.
  5. Gisèle Umbhauer, 2007. "De l’amiante au chrysotile, un glissement stratégique dans la désinformation," Working Papers of BETA 2007-15, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  6. Nicolas Carayol & Pascale Roux & Murat Yıldızoglu, 2006. "Coordination failures in network formation," Working Papers of BETA 2006-03, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  7. Jalal EL OUARDIGHI & Rabija SOMUN-KAPETANOVIC, 2006. "Convergence des contributions aux inégalités de richesse dans le développement des pays européens," Working Papers of BETA 2006-19, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  8. Stéphane Betrand & Kene Boun My & Alban Verchère, 2005. "Faire émerger la coopération internationale : une approche expérimentale comparée du bilatéralisme et du multilatéralisme," Working Papers of BETA 2005-13, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  9. Olivier Bochet, 2007. "Implementation of the Walrasian correspondence: the boundary problem," International Journal of Game Theory, Springer, vol. 36(2), pages 301-316, October.
  10. Estelle Dhont-Peltrault & Etienne Pfister, 2007. "R&D cooperation versus R&D subcontracting: empirical evidence from French survey data," Working Papers of BETA 2007-17, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  11. Meixing DAI & Moïse SIDIROPOULOS & Eleftherios SPYROMITROS, 2007. "La transparence de la politique monétaire et la dynamique des marchés financiers," Working Papers of BETA 2007-19, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  12. Rachel Levy & Paul Muller, 2006. "Do academic laboratories correspond to scientific communities? Evidence from a large European university," Working Papers of BETA 2006-15, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  13. Nicolas Carayol & Pascale Roux, 2006. "A strategic model of complex networks formation," Working Papers of BETA 2006-02, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

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