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From Nash to Walras via Shapley-Shubik

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  • P. Dubey
  • J. Geanakoplos

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 ShapleyŠShubik trading-post game.

Suggested Citation

  • P. Dubey & J. Geanakoplos, 2002. "From Nash to Walras via Shapley-Shubik," Department of Economics Working Papers 02-01, Stony Brook University, Department of Economics.
    • Handle: RePEc:nys:sunysb:02-01
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Manfred Nermuth, 2008. "The Structure of Equilibrium in an Asset Market with Variable Supply," Vienna Economics Papers 0804, University of Vienna, Department of Economics.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Ehud Kalai, 2006. "Structural Robustness of Large Games," Discussion Papers 1431, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Thomas M. Eisenbach & Gregory Phelan, 2022. "Cournot Fire Sales," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(3), pages 508-542, July.
    8. 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.
    9. 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.
    10. 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.
    11. Manfred Nermuth, 2011. "Competing in Several Areas Simultaneously: The Case of Strategic Asset Markets," Games, MDPI, vol. 2(2), pages 1-26, April.
    12. 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.
    13. Manfred Nermuth, 2008. "The Structure of Equilibrium in an Asset Market with Variable Supply," Vienna Economics Papers vie0804, University of Vienna, Department of Economics.
    14. 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.
    15. Fugarolas, Guadalupe, 2006. "Nash equilibria applied to Spot-financial equilibria in General equilibrium incomplete market models," MPRA Paper 470, University Library of Munich, Germany.
    16. Liao, Mouhua, 2016. "A market game with symmetric limit orders," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 66-76.
    17. 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.
    18. 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.
    19. Dubey, Pradeep & Sahi, Siddhartha & Shubik, Martin, 2018. "Graphical exchange mechanisms," Games and Economic Behavior, Elsevier, vol. 108(C), pages 452-465.

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    More about this item

    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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