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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.

Suggested Citation

  • GIRAUD, Gaël & ROCHON, Céline, 2001. "Consistent collusion-proofness and correlation in exchange economies," LIDAM Discussion Papers CORE 2001018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2001018
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    1. L. Hurwicz, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 217-225.
    2. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 33-50, January.
    3. Ray, Indrajit, 1996. "Coalition-Proof Correlated Equilibrium: A Definition," Games and Economic Behavior, Elsevier, vol. 17(1), pages 56-79, November.
    4. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November.
    5. James Peck & Karl Shell, 1991. "Market Uncertainty: Correlated and Sunspot Equilibria in Imperfectly Competitive Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 1011-1029.
    6. Sergiu Hart & Andreu Mas-Colell, 2013. "A Simple Adaptive Procedure Leading To Correlated Equilibrium," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 2, pages 17-46, World Scientific Publishing Co. Pte. Ltd..
    7. Gaël Giraud & Céline Rochon, 2003. "Generic efficiency and collusion-proofness in exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 405-428, June.
    8. Dubey, P. & Rogawski, J. D., 1990. "Inefficiency of smooth market mechanisms," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 285-304.
    9. 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.
    10. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    11. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    12. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-126, January.
    13. Forges, Francoise, 1988. "Can sunspots replace a mediator?," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 347-368, September.
    14. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-1593, November.
    15. 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.
    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 937-968, October.
    17. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    18. Hong, Lu, 1995. "Nash Implementation in Production Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 401-417, May.
    19. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    20. Andrew Postlewaite & David Wettstein, 1989. "Feasible and Continuous Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 603-611.
    21. Barnett,William A. & Moulin,Hervé & Salles,Maurice & Schofield,Norman J. (ed.), 1995. "Social Choice, Welfare, and Ethics," Cambridge Books, Cambridge University Press, number 9780521443401, September.
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    Cited by:

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    2. Murat Yildizoglu & Nicolas Carayol & Pascale Roux, 2005. "Coordination Failures in Network Formation," Post-Print hal-00160385, HAL.
    3. 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.
    4. Gael Giraud & Hubert Stahn, 2013. "Nash-implementation of competitive equilibria via a bounded mechanism," Review of Economic Design, Springer;Society for Economic Design, 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. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.

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    More about this item

    Keywords

    coalition-proofness; correlation; semi-strong equilibrium; implementation;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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