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Stable processes of exchange

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  • Reiter, Stanley
  • Maroulis, Spiro

Abstract

In this paper we address a long standing gap in economic theory--the gap between claims for the dynamic efficiency of trading in markets, and the findings of formal economic theory, which justify those claims only under restrictive assumptions. We use agent-based methods to study the dynamics of exchange with trading agents who are characterized by several different preference relations. We see that outcomes converge with high probability to Pareto optima in the cases studied, including the well-known example due to Scarf.

Suggested Citation

  • Reiter, Stanley & Maroulis, Spiro, 2008. "Stable processes of exchange," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1398-1412, December.
    • Handle: RePEc:eee:mateco:v:44:y:2008:i:12:p:1398-1412
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    References listed on IDEAS

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    1. Smale, Stephen, 1976. "Exchange processes with price adjustment," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 211-226, December.
    2. Hurwicz, Leonid & Radner, Roy & Reiter, Stanley, 1975. "A Stochastic Decentralized Resource Allocation Process: Part I," Econometrica, Econometric Society, vol. 43(2), pages 187-221, March.
    3. 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.
    4. Smale, Steve, 1976. "A convergent process of price adjustment and global newton methods," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 107-120, July.
    5. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
    6. Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-563, May.
    7. Joosten, R.A.M.G. & Talman, A.J.J., 1993. "A simplicial variable dimension restart algorithm to find economic equilibria on the unit simplex using n(n+1) rays," Other publications TiSEM 14c12c0d-571f-4357-a880-f, Tilburg University, School of Economics and Management.
    8. Stanley Reiter, 1978. "A Dynamic Process of Exchange," Discussion Papers 347, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Saari, Donald G & Simon, Carl P, 1978. "Effective Price Mechanisms," Econometrica, Econometric Society, vol. 46(5), pages 1097-1125, September.
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    Cited by:

    1. Stanley Reiter, 2009. "Two topics in Leo Hurwicz’s research," Review of Economic Design, Springer;Society for Economic Design, vol. 13(1), pages 3-6, April.

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