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Robustness of equilibrium price dispersion in finite market games

Author

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  • Régis Breton

    (EconomiX - EconomiX - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique)

  • Bertrand Gobillard

    (EconomiX - EconomiX - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique)

Abstract

We propose an approach to restricting the set of equilibria in a strategic market game and use it to assess the robustness of the price dispersion results obtained by Koutsougeras [2003, J. Econ. Theory 108, 169-175] in the multiple trading posts setup. More precisely, we perturb the initial game by the introduction of transaction costs and our main results are the following. (i) No equilibrium with price dispersion of the game with costless transactions can be approached by equilibria with positive transaction costs as costs get arbitrarily small. (ii) When this type of perturbation is considered the set of equilibrium outcomes is not a®ected by the number of trading posts.

Suggested Citation

  • Régis Breton & Bertrand Gobillard, 2006. "Robustness of equilibrium price dispersion in finite market games," Working Papers hal-04138854, HAL.
  • Handle: RePEc:hal:wpaper:hal-04138854
    Note: View the original document on HAL open archive server: https://hal.science/hal-04138854
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    References listed on IDEAS

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    1. Postlewaite, A & Schmeidler, David, 1978. "Approximate Efficiency of Non-Walrasian Nash Equilibria," Econometrica, Econometric Society, vol. 46(1), pages 127-135, January.
    2. 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.
    3. Peck, James, 2003. "Large market games with demand uncertainty," Journal of Economic Theory, Elsevier, vol. 109(2), pages 283-299, April.
    4. Koutsougeras, L., 1999. "A Remark on the Number of Trading Posts in Strategic Market Games," Discussion Paper 1999-04, Tilburg University, Center for Economic Research.
    5. 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.
    6. Bloch, Francis & Ferrer, Helene, 2001. "Trade Fragmentation and Coordination in Strategic Market Games," Journal of Economic Theory, Elsevier, vol. 101(1), pages 301-316, November.
    7. Alexander Matros & Ted Temzelides, 2004. "Evolution and Walrasian Behavior in Market Games," Game Theory and Information 0409009, University Library of Munich, Germany.
    8. Cordella, Tito & Gabszewicz, Jean J., 1998. ""Nice" Trivial Equilibria in Strategic Market Games," Games and Economic Behavior, Elsevier, vol. 22(1), pages 162-169, January.
    9. Koutsougeras, Leonidas C., 2003. "Convergence to no arbitrage equilibria in market games," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 401-420, July.
    10. 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.
    11. 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.
    12. KOUTSOUGERAS, Leonidas C., 1999. "A remark on the number of trading posts in strategic market games," LIDAM Discussion Papers CORE 1999005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Rogawski, J. & Shubik, M., 1986. "A strategic market game with transactions costs," Mathematical Social Sciences, Elsevier, vol. 11(2), pages 139-160, April.
    14. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
    15. Koutsougeras, L., 1999. "A Remark on the Number of Trading Posts in Strategic Market Games," Other publications TiSEM eac59545-f91e-41f1-8067-1, Tilburg University, School of Economics and Management.
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