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On Shapley–Shubik equilibria with financial markets

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  • Gaël Giraud
  • Hubert Stahn

Abstract

In this paper, we extend the Shapley-Shubik model to a two period financial economy, and essentially address the question of the existence of an equilibrium. More precisely, we show the existence of nice equilibria, i.e. situations in which prices for both assets and commodities are strictly positive. Even if the general lines of the proof are largely influenced by the paper of Dubey and Shubik (J Econ Theory 17:1-20, 1978), most of the arguments are new because of the financial nature of the economy. It forces us to deal with a generalized Nash equilibrium, and to proscribe the use of arguments which only work with a single cash-in-advance constraint.
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  • Gaël Giraud & Hubert Stahn, 2008. "On Shapley–Shubik equilibria with financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 469-496, June.
    • Handle: RePEc:spr:joecth:v:35:y:2008:i:3:p:469-496
    DOI: 10.1007/s00199-007-0245-4
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    1. Leonidas Koutsougeras & Konstantinos Papadopoulos, 2004. "Arbitrage and equilibrium in strategic security markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 553-568, March.
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    3. 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.
    4. Dubey, Pradeep & Shubik, Martin, 1978. "A theory of money and financial institutions. 28. The non-cooperative equilibria of a closed trading economy with market supply and bidding strategies," Journal of Economic Theory, Elsevier, vol. 17(1), pages 1-20, February.
    5. Amir, Rabah & Sahi, Siddharta & Shubik, Martin & Yao, Shuntian, 1990. "A strategic market game with complete markets," Journal of Economic Theory, Elsevier, vol. 51(1), pages 126-143, June.
    6. Koutsougeras, Leonidas C., 2003. "Non-Walrasian equilibria and the law of one price," Journal of Economic Theory, Elsevier, vol. 108(1), pages 169-175, January.
    7. Giraud, Gael & Stahn, Hubert, 2003. "Efficiency and imperfect competition with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 559-583, July.
    8. Peck, James & Shell, Karl, 1990. "Liquid markets and competition," Games and Economic Behavior, Elsevier, vol. 2(4), pages 362-377, December.
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    Cited by:

    1. Kannai, Yakar & Rosenmüller, Joachim, 2010. "Strategic behavior in financial markets," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 148-162, March.
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    3. 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.

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    More about this item

    Keywords

    Strategic market games; Financial markets; Shapley–Shubik equilibria; C72; D52; D66;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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