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Mistakes in Cooperation: the Stochastic Stability of Edgeworth's Recontracting

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  • Roberto Serrano
  • Oscar Volij

Abstract

We analyse a dynamic trading process of coalitional recontracting in an exchange economy with indivisible goods, where agents may make mistakes with small probability. According to this process, the resistance of a transition from one allocation to another is a function of the number of agents who make mistakes and of the seriousness of each mistake. If preferences are always strict, the unique stochastically stable state is the competitive equilibrium allocation. In economies with indifferences, non-core cycles are sometimes stochastically stable, while some core allocations are not. The robustness of these results is confirmed in a weak coalitional recontracting process. Copyright � The Author(s). Journal compilation � Royal Economic Society 2008.

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Bibliographic Info

Article provided by Royal Economic Society in its journal The Economic Journal.

Volume (Year): 118 (2008)
Issue (Month): 532 (October)
Pages: 1719-1741

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Handle: RePEc:ecj:econjl:v:118:y:2008:i:532:p:1719-1741

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  1. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  2. Armo Gomes & Philippe Jehiel, 2001. "Dynamic Processes of Social and Economic Interactions: On the Persistence of Inefficiencies," Penn CARESS Working Papers 76ff153ae29996d16c454e473, Penn Economics Department.
  3. J. Bergin & B. Lipman, 2010. "Evolution with State-Dependent Mutations," Levine's Working Paper Archive 486, David K. Levine.
  4. Roberto Serrano & Rajiv Vohra & Oscar Volij, 2000. "On the Failure of Core Convergence in Economies with Asymmetric Information," Econometric Society World Congress 2000 Contributed Papers 0141, Econometric Society.
  5. 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.
  6. Michihiro Kandori & Roberto Serrano & Oscar Volij, 2005. "Decentralized Trade, Random Utility And The Evolution Of Social Welfare," Economics Working Papers we056433, Universidad Carlos III, Departamento de Economía.
  7. Nir Dagan & Roberto Serrano & Oscar Volij, 1996. "Bargaining, coalitions and competition," Economics Working Papers 178, Department of Economics and Business, Universitat Pompeu Fabra.
  8. Oscar Volij, 2000. "The Evolution of Exchange," Econometric Society World Congress 2000 Contributed Papers 0292, Econometric Society.
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  10. 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.
  11. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  12. Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2003. "Kidney Exchange," NBER Working Papers 10002, National Bureau of Economic Research, Inc.
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  16. Debraj Ray & Rajiv Vohra, 2001. "Coalitional Power and Public Goods," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1355-1384, December.
  17. Fernando Vega Redondo, 1996. "The evolution of walrasian behavior," Working Papers. Serie AD 1996-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  18. Feldman, Allan M, 1974. "Recontracting Stability," Econometrica, Econometric Society, vol. 42(1), pages 35-44, January.
  19. Green, Jerry R, 1974. "The Stability of Edgeworth's Recontracting Process," Econometrica, Econometric Society, vol. 42(1), pages 21-34, January.
  20. Assaf Ben-Shoham & Roberto Serrano & Oscar Volig, 2000. "The Evolution of Change," Working Papers 2000-06, Brown University, Department of Economics.
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Citations

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Cited by:
  1. Newton, Jonathan, 2012. "Recontracting and stochastic stability in cooperative games," Journal of Economic Theory, Elsevier, vol. 147(1), pages 364-381.
  2. Michihiro Kandori & Roberto Serrano & Oscar Volij, 2005. "Decentralized Trade, Random Utility And The Evolution Of Social Welfare," Economics Working Papers we056433, Universidad Carlos III, Departamento de Economía.
  3. Mandel, Antoine & Gintis, Herbert, 2014. "Stochastic stability in the Scarf economy," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 44-49.
  4. Roberto Serrano & Roland Pongou, 2009. "A Dynamic Theory Of Fidelity Networks With An Application To The Spread Of Hiv/Aids," Working Papers wp2009_0909, CEMFI.
  5. Klaus, Bettina & Klijn, Flip & Walzl, Markus, 2010. "Stochastic stability for roommate markets," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2218-2240, November.
  6. Mandel Antoine & Botta Nicola, 2009. "A Note on Herbert Gintis' "Emergence of a Price System from Decentralized Bilateral Exchange"," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-18, December.
  7. Bettina-Elisabeth Klaus & Flip Klijn & Markus Walzl, 2009. "Farsighted House Allocation," Harvard Business School Working Papers 09-129, Harvard Business School.

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