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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.)

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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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Publisher 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.;

Other versions of this item:

Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March. [Downloadable!] (restricted)
  2. Bergin, James & Lipman, Barton L, 1996. "Evolution with State-Dependent Mutations," Econometrica, Econometric Society, vol. 64(4), pages 943-56, July. [Downloadable!] (restricted)
    Other versions:
  3. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September. [Downloadable!] (restricted)
  4. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February. [Downloadable!] (restricted)
  5. 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.
  6. 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. [Downloadable!] (restricted)
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  7. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
  8. Feldman, Allan M, 1973. "Bilateral Trading, Processes, Pairwise Optimality, and Pareto Optimality," Review of Economic Studies, Blackwell Publishing, vol. 40(4), pages 463-73, October. [Downloadable!] (restricted)
  9. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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. [Downloadable!]
  2. 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. [Downloadable!]
    Other versions:
  3. 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. [Downloadable!]
    Other versions:
  4. Roberto Serrano & Oscar Volij, 2005. "Mistakes In Cooperation: The Stochastic Stability Of Edgeworth'S Recontracting," Economics Working Papers we056332, Universidad Carlos III, Departamento de Economía. [Downloadable!]
    Other versions:
  5. Leonardo Boncinelli, 2007. "Global vs. Local Information," Department of Economics University of Siena 520, Department of Economics, University of Siena. [Downloadable!]
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