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From Nash to Walras via Shapley-Shubik

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Abstract

We derive the existence of a Walras equilibrium directly from Nash's theorem on noncooperative games. No price player is involved, nor are generalized games. Instead we use a variant of the Shapley-Shubik trading-post game.

Suggested Citation

  • Pradeep Dubey & John Geanakoplos, 2002. "From Nash to Walras via Shapley-Shubik," Cowles Foundation Discussion Papers 1360, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1360
    Note: CFP 1065.
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    Cited by:

    1. Hervés-Beloso, Carlos & Moreno-García, Emma, 2009. "Walrasian analysis via two-player games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 220-233, January.
    2. Hens, Thorsten & Reimann, Stefan & Vogt, Bodo, 2004. "Nash competitive equilibria and two-period fund separation," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 321-346, June.
    3. Ehud Kalai, 2006. "Structural Robustness of Large Games," Discussion Papers 1431, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Faias, Marta & Moreno, Emma & Wooders, Myrna, 2009. "A Strategic market game approach for the private provision of public goods," MPRA Paper 37777, University Library of Munich, Germany, revised 08 Mar 2012.
    5. Faias, Marta & Hervés-Beloso, Carlos & Moreno García, Emma, 2009. "A price mechanism in economies with asymmetric information," MPRA Paper 15176, University Library of Munich, Germany.
    6. Peter J. Hammond, 2017. "Designing a strategyproof spot market mechanism with many traders: twenty-two steps to Walrasian equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 1-50, January.
    7. Pradeep Dubey & Siddhartha Sahi & Martin Shubik, 2014. "Minimally complex exchange mechanisms: Emergence of prices, markets, and money," Department of Economics Working Papers 14-01, Stony Brook University, Department of Economics.
    8. Fugarolas, Guadalupe, 2006. "Nash equilibria applied to Spot-financial equilibria in General equilibrium incomplete market models," MPRA Paper 470, University Library of Munich, Germany.
    9. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 57(194), pages 63-106, July - Se.
    10. Dubey, Pradeep & Sahi, Siddhartha & Shubik, Martin, 2018. "Graphical exchange mechanisms," Games and Economic Behavior, Elsevier, vol. 108(C), pages 452-465.
    11. Manfred Nermuth, 2008. "The Structure of Equilibrium in an Asset Market with Variable Supply," Vienna Economics Papers 0804, University of Vienna, Department of Economics.
    12. Mouhua Liao, 2019. "A Multi-Stage Market Game that Implements any Walrasian Allocation in any Pure-Exchange Environment," Working Papers 2019-07-03, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    13. Carlos Hervés‐Beloso & Francisco Martínez‐Concha & Emma Moreno‐García, 2024. "Economies with rights: Efficiency and inequality," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(1), February.
    14. Thomas M. Eisenbach & Gregory Phelan, 2022. "Cournot Fire Sales," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(3), pages 508-542, July.
    15. Leonidas C. Koutsougeras & Claudia Meo, 2018. "An asymptotic analysis of strategic behavior for exchange economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 301-325, August.
    16. Manfred Nermuth, 2011. "Competing in Several Areas Simultaneously: The Case of Strategic Asset Markets," Games, MDPI, vol. 2(2), pages 1-26, April.
    17. Marta Faias & Mercedes Guevara-Velázquez & Emma Moreno-García, 2024. "Contributing with private bundles to public goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(3), pages 801-821, May.
    18. Manfred Nermuth, 2008. "The Structure of Equilibrium in an Asset Market with Variable Supply," Vienna Economics Papers vie0804, University of Vienna, Department of Economics.
    19. Liao, Mouhua, 2016. "A market game with symmetric limit orders," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 66-76.
    20. Chen, Guo & Korpeoglu, C. Gizem & Spear, Stephen E., 2017. "Price stickiness and markup variations in market games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 95-103.
    21. Yinbo Feng & Jiamin Li, 2025. "Information sharing in supply chains from the market game perspective," Annals of Operations Research, Springer, vol. 347(3), pages 1311-1338, April.
    22. Guadalupe Fugarolas-Alvarez-Ude & Carlos Hervés-Beloso & Emma Moreno-García & Juan Torres-Martínez, 2009. "A market game approach to differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 321-330, February.

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    Keywords

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition

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