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Bargaining, Coalitions and Competition

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  • Volij, Oscar
  • Serrano, Roberto

Abstract

We study a decentralized matching model in a large exchange economy, in which trade takes place through non--cooperative bargaining in coalitions of finite size. Under essentially the same conditions of core equivalence, we show that the strategic equilibrium outcomes of our model coincide with the Walrasian allocations of the economy. Our method of proof exploits equivalence results between the core and Walrasian equilibria. Our model relaxes differentiability and convexity of preferences thereby covering the case of indivisible goods.

Suggested Citation

  • Volij, Oscar & Serrano, Roberto, 2000. "Bargaining, Coalitions and Competition," Staff General Research Papers Archive 5107, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genres:5107
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    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
    3. Hart, Sergiu & Hildenbrand, Werner & Kohlberg, Elon, 1974. "On equilibrium allocations as distributions on the commodity space," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 159-166, August.
    4. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
    5. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
    6. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 513-525.
    7. Rubinstein, Ariel & Wolinsky, Asher, 1985. "Equilibrium in a Market with Sequential Bargaining," Econometrica, Econometric Society, vol. 53(5), pages 1133-1150, September.
    8. Nir Dagan, 1994. "Recontracting and competition," Economics Working Papers 152, Department of Economics and Business, Universitat Pompeu Fabra, revised Jan 1996.
    9. Gale, Douglas M, 1986. "Bargaining and Competition Part I: Characterization," Econometrica, Econometric Society, vol. 54(4), pages 785-806, July.
    10. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
    11. Gale, Douglas M, 1986. "Bargaining and Competition Part II: Existence," Econometrica, Econometric Society, vol. 54(4), pages 807-818, July.
    12. 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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    Citations

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    Cited by:

    1. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, vol. 110(1), pages 87-120, May.
    2. Shneyerov, Artyom & Wong, Adam Chi Leung, 2010. "The rate of convergence to perfect competition of matching and bargaining mechanisms," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1164-1187, May.
    3. Serrano, Roberto, 2002. "Decentralized information and the Walrasian outcome: a pairwise meetings market with private values," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 65-89, September.
    4. Roberto Serrano & Oscar Volij, 2008. "Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting," Economic Journal, Royal Economic Society, vol. 118(532), pages 1719-1741, October.
    5. Kunimoto, Takashi & Serrano, Roberto, 2004. "Bargaining and competition revisited," Journal of Economic Theory, Elsevier, vol. 115(1), pages 78-88, March.
    6. Roberto Serrano, 2007. "Bargaining," Working Papers 2007-06, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    7. Yildiz, Muhamet, 2003. "Walrasian bargaining," Games and Economic Behavior, Elsevier, vol. 45(2), pages 465-487, November.
    8. repec:eee:gamebe:v:104:y:2017:i:c:p:59-77 is not listed on IDEAS
    9. Serrano, Roberto & Volij, Oscar, 2000. "Walrasian Allocations without Price-Taking Behavior," Journal of Economic Theory, Elsevier, vol. 95(1), pages 79-106, November.
    10. Stephan Lauermann, 2013. "Dynamic Matching and Bargaining Games: A General Approach," American Economic Review, American Economic Association, vol. 103(2), pages 663-689, April.
    11. Satterthwaite, Mark & Shneyerov, Artyom, 2008. "Convergence to perfect competition of a dynamic matching and bargaining market with two-sided incomplete information and exogenous exit rate," Games and Economic Behavior, Elsevier, vol. 63(2), pages 435-467, July.
    12. Marakulin, V., 2011. "Contracts and Domination in Competitive Economies," Journal of the New Economic Association, New Economic Association, issue 9, pages 10-32.
    13. Penta, Antonio, 2011. "Multilateral bargaining and Walrasian equilibrium," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 417-424.

    More about this item

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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