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A Markov Model of Production, Trade, and Money: Theory and Artificial Life Simulation

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  • Herbert Gintis

    (University of Massachusetts)

Abstract

The paper generalizes the Kiyotaki-Wright trade model by treatingthe trading period as a finite game, so Nash's theorem can be used to provethe existence of equilibrium, and by treating the economy as a Markovprocess, so an ergodic theorem can be used to show the existence ofequilibria with desirable properties (e.g., in which money exists). A Markovmodel of trade also allows us to add complexity to the economy withoutadding corresponding complexity to the analysis of the model's properties.The paper also provides artificial life simulations of the Markov economysuggesting that monetary equilibria are dynamically stable and do notrequire high levels of learning or information processing on the part ofagents.

Suggested Citation

  • Herbert Gintis, 1997. "A Markov Model of Production, Trade, and Money: Theory and Artificial Life Simulation," Computational and Mathematical Organization Theory, Springer, vol. 3(1), pages 19-41, March.
    • Handle: RePEc:spr:comaot:v:3:y:1997:i:1:d:10.1023_a:1009615904648
    DOI: 10.1023/A:1009615904648
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Blume, Lawrence E. & Easley, David, 1982. "Learning to be rational," Journal of Economic Theory, Elsevier, vol. 26(2), pages 340-351, April.
    3. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    4. Kiyotaki, Nobuhiro & Wright, Randall, 1991. "A contribution to the pure theory of money," Journal of Economic Theory, Elsevier, vol. 53(2), pages 215-235, April.
    5. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-954, August.
    6. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
    7. Marimon, Ramon & McGrattan, Ellen & Sargent, Thomas J., 1990. "Money as a medium of exchange in an economy with artificially intelligent agents," Journal of Economic Dynamics and Control, Elsevier, vol. 14(2), pages 329-373, May.
    8. Fudenberg Drew & Kreps David M., 1993. "Learning Mixed Equilibria," Games and Economic Behavior, Elsevier, vol. 5(3), pages 320-367, July.
    9. S. Rao Aiyagari & Neil Wallace, 1991. "Existence of Steady States with Positive Consumption in the Kiyotaki-Wright Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 901-916.
    10. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
    11. Aiyagari, S Rao & Wallace, Neil, 1992. "Fiat Money in the Kiyotaki-Wright Model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(4), pages 447-464, October.
    12. Burdett, Kenneth, et al, 1995. "Buyers and Sellers: Should I Stay or Should I Go?," American Economic Review, American Economic Association, vol. 85(2), pages 281-286, May.
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