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Convexity, Differential Equations, and Games

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  • Sjur Didrik Flåm

Abstract

Theoretical and experimental studies of noncooperative games increasingly recognize Nash equilibrium as a limiting outcome of players‘ repeated interaction. This note, while sharing that view, illustrates and advocates combined use of convex optimization and differential equations, the purpose being to render equilibrium both plausible and stable.

Suggested Citation

  • Sjur Didrik Flåm, 2002. "Convexity, Differential Equations, and Games," CESifo Working Paper Series 655, CESifo.
    • Handle: RePEc:ces:ceswps:_655
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    File URL: https://www.cesifo.org/DocDL/655.PDF
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    References listed on IDEAS

    as
    1. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    2. Flam, Sjur Didrik, 1998. "Averaged predictions and the learning of equilibrium play," Journal of Economic Dynamics and Control, Elsevier, vol. 22(6), pages 833-848, June.
    3. Vega-Redondo, Fernando, 1989. "Extrapolative Expectations and Market Stability," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(3), pages 513-517, August.
    4. Flam, Sjur Didrik & Horvath, Charles, 1998. "Stochastic mean values, rational expectations, and price movements," Economics Letters, Elsevier, vol. 61(3), pages 293-299, December.
    5. Monderer, Dov & Shapley, Lloyd S., 1996. "Fictitious Play Property for Games with Identical Interests," Journal of Economic Theory, Elsevier, vol. 68(1), pages 258-265, January.
    6. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    7. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    8. S. D. Flåm & J. Morgan, 2004. "Newtonian Mechanics And Nash Play," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(02), pages 181-194.
    9. Flam, Sjur Didrik, 1996. "Approaches to economic equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1505-1522.
    10. Artstein, Zvi, 1983. "Irregular cobweb dynamics," Economics Letters, Elsevier, vol. 11(1-2), pages 15-17.
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    Cited by:

    1. Limaei, Soleiman Mohammadi, 2010. "Mixed strategy game theory, application in forest industry," Forest Policy and Economics, Elsevier, vol. 12(7), pages 527-531, September.

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