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A three way equivalence

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  • Koutsougeras, Leonidas C.
  • Ziros, Nicholas

Abstract

In view of the well known core equivalence results in atomless economies, coincidence of market game equilibrium allocations with competitive allocations is tantamount to a three way equivalence between market game mechanisms, competitive equilibria and the core. Based on this idea we study equilibrium refinements of market games, which allow us to use the core equivalence machinery in order to provide an exact market game characterization of competitive equilibria.

Suggested Citation

  • Koutsougeras, Leonidas C. & Ziros, Nicholas, 2008. "A three way equivalence," Journal of Economic Theory, Elsevier, vol. 139(1), pages 380-391, March.
  • Handle: RePEc:eee:jetheo:v:139:y:2008:i:1:p:380-391
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    References listed on IDEAS

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    1. Bloch, Francis & Ghosal, Sayantan, 1997. "Stable Trading Structures in Bilateral Oligopolies," Journal of Economic Theory, Elsevier, vol. 74(2), pages 368-384, June.
    2. Qin, Cheng-Zhong & Shapley, Lloyd S. & Shimomura, Ken-Ichi, 2006. "The Walras core of an economy and its limit theorem," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 180-197, April.
    3. Postlewaite, A & Schmeidler, David, 1978. "Approximate Efficiency of Non-Walrasian Nash Equilibria," Econometrica, Econometric Society, vol. 46(1), pages 127-135, January.
    4. Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299.
    5. 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.
    6. Anderson, Robert M., 1992. "The core in perfectly competitive economies," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 14, pages 413-457 Elsevier.
    7. 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.
    8. Hammond, Peter J. & Kaneko, Mamoru & Wooders, Myrna Holtz, 1989. "Continuum economies with finite coalitions: Core, equilibria, and widespread externalities," Journal of Economic Theory, Elsevier, vol. 49(1), pages 113-134, October.
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    Cited by:

    1. Francesca Busetto & Giulio Codognato & Sayantan Ghosal & Ludovic A. Julien & Simone Tonin, 2018. "Existence and Optimality of Cournot-Nash Equilibria in a Bilateral Oligopoly with Atoms and an Atomless Part," EconomiX Working Papers 2018-10, University of Paris Nanterre, EconomiX.
    2. Nicholas Ziros, 2008. "The bargaining set in strategic market games," University of Cyprus Working Papers in Economics 8-2008, University of Cyprus Department of Economics.
    3. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics, University of Belgrade, vol. 57(194), pages 63-106, July - Se.
    4. Nicholas Ziros, 2011. "The bargaining set in strategic market games," Journal of Economics, Springer, vol. 102(2), pages 171-179, March.

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