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Retrading in Market Games

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  • Sayantan Ghosal

    (Economics Department, University of Warwick)

  • Massimo Morelli

    (Department of Economics, Ohio State University)

Abstract

When agents are not price takers, they typically cannot obtain an efficient reallocation of resources in one round of trade. This paper presents a noncooperative model of imperfect competition where agents can retrade allocations,consistent with the Edgeworth’s idea of recontracting. We show that there are allocations on the Pareto frontier that can be approximated arbitrarily closely when trade is myopic, i.e., when agents play a static Nash equilibrium at every round of retrading. We then show that the converging sequence of allocations generated by myopic retrading can also be supported along some retrade-proof Subgame Perfect Equilibrium path when traders anticipate future rounds of retrading.

Suggested Citation

  • Sayantan Ghosal & Massimo Morelli, 2002. "Retrading in Market Games," Economics Working Papers 0012, Institute for Advanced Study, School of Social Science.
  • Handle: RePEc:ads:wpaper:0012
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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 33-50, January.
    3. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
    4. Peck, James & Shell, Karl, 1990. "Liquid markets and competition," Games and Economic Behavior, Elsevier, vol. 2(4), pages 362-377, December.
    5. Gale, Douglas, 1987. "Limit theorems for markets with sequential bargaining," Journal of Economic Theory, Elsevier, vol. 43(1), pages 20-54, October.
    6. Heracles M. Polemarchakis & Beth Allen & Jayasri Dutta, 1994. "Equilibrium Selections," Working Papers hal-00607668, HAL.
    7. 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.
    8. E. Malinvaud, 1972. "Prices for Individual Consumption, Quantity Indicators for Collective Consumption," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(4), pages 385-405.
    9. Dubey, Pradeep & Sahi, Siddharta & Shubik, Martin, 1993. "Repeated trade and the velocity of money," Journal of Mathematical Economics, Elsevier, vol. 22(2), pages 125-137.
    10. Philippe Jehiel & Benny Moldovanu, 1999. "Resale Markets and the Assignment of Property Rights," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(4), pages 971-991.
    11. Dubey, P. & Rogawski, J. D., 1990. "Inefficiency of smooth market mechanisms," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 285-304.
    12. McLennan, Andrew & Sonnenschein, Hugo, 1991. "Sequential Bargaining as a Noncooperative Foundation for Walrasian Equilibrium," Econometrica, Econometric Society, vol. 59(5), pages 1395-1424, September.
    13. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    14. Dubey, Pradeep, 1980. "Nash equilibria of market games: Finiteness and inefficiency," Journal of Economic Theory, Elsevier, vol. 22(2), pages 363-376, April.
    15. J. H. Dreze & D. de la Vallee Poussin, 1971. "A Tâtonnement Process for Public Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 133-150.
    16. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-818, July.
    17. Gerard Debreu, 1963. "On a Theorem of Scarf," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 177-180.
    18. 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.
    19. Goenka, Aditya & Kelly, David L. & Spear, Stephen E., 1998. "Endogenous Strategic Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 97-125, July.
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    Cited by:

    1. Mandel, Antoine & Gintis, Herbert, 2016. "Decentralized Pricing and the equivalence between Nash and Walrasian equilibrium," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 84-92.
    2. 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.
    3. Gaël Giraud, 2007. "Walrasian Non-tatonnement with Incomplete and Imperfectly Competitive Markets," Post-Print halshs-00155717, HAL.
    4. Ghosal, Sayantan & Porter, James, 2010. "Out of Equilibrium Dynamics with Decentralized Exchange Cautious Trading and Convergence to Efficiency," The Warwick Economics Research Paper Series (TWERPS) 928, University of Warwick, Department of Economics.
    5. 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.
    6. Alexander Matros & John Duffy & Ted Temzelides, 2006. "Competitive Behavior in Market Games: Evidence and Theory," Working Paper 201, Department of Economics, University of Pittsburgh, revised Sep 2008.
    7. Huber, Juergen & Shubik, Martin & Sunder, Shyam, 2016. "Default penalty as a selection mechanism among multiple equilibria," Journal of Behavioral and Experimental Finance, Elsevier, vol. 9(C), pages 20-38.
    8. Gaël Giraud, 2004. "The limit-price exchange process," Cahiers de la Maison des Sciences Economiques b04118, Université Panthéon-Sorbonne (Paris 1).
    9. John Duffy & Alexander Matros & Ted Temzelides, 2008. "Competitive Behavior in Market Games: Evidence and Theory," Working Paper 366, Department of Economics, University of Pittsburgh, revised Jul 2010.
    10. Peck, James, 2014. "A battle of informed traders and the market game foundations for rational expectations equilibrium," Games and Economic Behavior, Elsevier, vol. 88(C), pages 153-173.
    11. Jamsheed Shorish, 2010. "Functional rational expectations equilibria in market games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(3), pages 351-376, June.
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    13. Duffy, John & Matros, Alexander & Temzelides, Ted, 2011. "Competitive behavior in market games: Evidence and theory," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1437-1463, July.
    14. Flåm, Sjur Didrik & Gramstad, Kjetil, 2012. "Direct Exchange in Linear Economies," Working Papers in Economics 05/12, University of Bergen, Department of Economics.
    15. Liao, Mouhua, 2016. "A market game with symmetric limit orders," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 66-76.
    16. Ghosal, Sayantan & Porter, James, 2013. "Decentralised exchange, out-of-equilibrium dynamics and convergence to efficiency," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 1-21.
    17. Keshab BHATTARAI, 2008. "Bargaining, Coalitions, Signalling and Repeated Games for Economic Development and Poverty Alleviation," EcoMod2008 23800012, EcoMod.
    18. Sjur Didrik Flåm, 2020. "Emergence of price-taking Behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 847-870, October.
    19. Sjur Didrik Flåm, 2013. "Reaching Market Equilibrium Merely by Bilateral Barters," CESifo Working Paper Series 4504, CESifo.
    20. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.

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