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The Evolution of Exchange

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Author Info

  • Roberto Serrano

    (Department of Economics, Brown University.)

  • Assaf Ben-Shoham

    (Department of Economics, Hebrew University.)

  • Oscar Volij

    (Department of Economics, Brown University, and Department of Economics, Hebrew University of Jerusalem.)

Abstract

Stochastic stability is applied to the problem of exchange. We analyze the stochastic stability of two dynamic trading processes in a simple housing market. In both models traders meet in pairs at random and exchange their houses when trade is mutually beneficial, but occasionally they make mistakes. The models differ in the probability of mistakes. When all mistakes are equally likely, the set of stochastically stable allocations contains the set of efficient allocations. When more serious mistakes are less likely, the stochastically stable states are those allocations, always efficient, with the lowest envy-level.

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Bibliographic Info

Paper provided by Oscar Volij in its series Economic theory and game theory with number 012.

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Date of creation: 25 May 2000
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Publication status: Published in Journal of Economic Theory, 114, (2004), 310-328.
Handle: RePEc:nid:ovolij:012

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Postal: Oscar Volij, Department of Economics, Ben-Gurion University, Beer-Sheva 84105, Israel
Web page: http://volij.co.il/

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Related research

Keywords: stochastic stability; exchange; housing problem; efficiency; envy.;

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References

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  1. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  2. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
  3. Hart, Sergiu, 2002. "Evolutionary dynamics and backward induction," Games and Economic Behavior, Elsevier, vol. 41(2), pages 227-264, November.
  4. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
  5. BERGIN, James & LIPMAN, Bart, 1994. "Evolution with State-Dependent Mutations," CORE Discussion Papers 1994055, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
  7. Feldman, Allan M, 1973. "Bilateral Trading, Processes, Pairwise Optimality, and Pareto Optimality," Review of Economic Studies, Wiley Blackwell, vol. 40(4), pages 463-73, October.
  8. D. Foster & P. Young, 2010. "Stochastic Evolutionary Game Dynamics," Levine's Working Paper Archive 493, David K. Levine.
  9. Matthew O. Jackson & Alison Watts, 2000. "On the Formation of Interaction Networks in Social Coordination Games," Econometric Society World Congress 2000 Contributed Papers 0778, Econometric Society.
  10. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  11. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
  12. Noldeke Georg & Samuelson Larry, 1993. "An Evolutionary Analysis of Backward and Forward Induction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 425-454, July.
  13. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  14. Goldman, Steven M & Starr, Ross M, 1982. "Pairwise, t-Wise, and Pareto Optimalities," Econometrica, Econometric Society, vol. 50(3), pages 593-606, May.
  15. Fernando Vega Redondo, 1996. "The evolution of walrasian behavior," Working Papers. Serie AD 1996-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  16. P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
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Citations

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Cited by:
  1. Chongmin Kim & Kam-Chau Wong, 2011. "Evolution of Walrasian equilibrium in an exchange economy," Journal of Evolutionary Economics, Springer, vol. 21(4), pages 619-647, October.
  2. Oscar Volij, 1998. "In Defense of DEFECT or Cooperation does not Justify the Solution Concept," Economic theory and game theory 007, Oscar Volij, revised 26 Aug 1999.
  3. Roland Pongou & Roberto Serrano, 2009. "A Dynamic Theory of Fidelity Networks with an Application to the Spread of HIV/AIDS," Working Papers 2009-2, Brown University, Department of Economics.
  4. 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.
  5. Roberto Serrano & Oscar Volij, 2003. "MISTAKE IN COOPERATION:the Stochastic Stability of Edgeworth's Recontracting," Working Papers 2003-23, Brown University, Department of Economics.
  6. Serrano, Roberto & Volij, Oscar, . "Mistakes in cooperation: the stochastic stability of edgeworth's recontracting," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/360, Universidad Carlos III de Madrid.
  7. Michihiro Kandori & Roberto Serrano & Oscar Volij, 2004. "Decentralized Trade, Random Utility and the Evolution of Social Welfare ("Journal of Economic Theory", 2008, Vol.140, .No. 1, 328-338. )," CARF F-Series CARF-F-009, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  8. Leonardo Boncinelli, 2007. "Global vs. Local Information," Department of Economics University of Siena 520, Department of Economics, University of Siena.

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