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The Discretization Of Continuum Strategy Spaces

Author

Listed:
  • CARLOS ALÓS-FERRER

    (Department of Economics, University of Konstanz, Box D-150. D-78457 Konstanz, Germany)

Abstract

When the strategy set of a game is a continuum, its discretization may not conserve local properties even for arbitrarily fine strategy grids. This paper provides two technical lemmata which are useful to deal with these problems in particular contexts. Four applications are presented, regarding the discretization of Cournot and Bertrand oligopolies, a consumer optimization problem, and an insurance market.

Suggested Citation

  • Carlos Alós-Ferrer, 2006. "The Discretization Of Continuum Strategy Spaces," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(03), pages 499-514.
    • Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:03:n:s0219198906001053
    DOI: 10.1142/S0219198906001053
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    References listed on IDEAS

    as
    1. Thijssen, J.J.J., 2001. "Stochastic Stability of Cooperative and Competitive Behavior in Cournot Oligopoly," Other publications TiSEM 39798b55-808a-459e-83d2-a, Tilburg University, School of Economics and Management.
    2. Thijssen, J.J.J., 2001. "Stochastic Stability of Cooperative and Competitive Behavior in Cournot Oligopoly," Discussion Paper 2001-19, Tilburg University, Center for Economic Research.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Burkhard Hehenkamp & Oddvar Kaarbøe, 2004. "Equilibrium Selection in Supermodular Games with Mean Payoff Technologies," Discussion Papers in Economics 04_05, University of Dortmund, Department of Economics.
    2. Dharini Hingu & K. S. Mallikarjuna Rao & A. J. Shaiju, 2020. "On superiority and weak stability of population states in evolutionary games," Annals of Operations Research, Springer, vol. 287(2), pages 751-760, April.
    3. Metzger, Lars Peter, 2014. "Invader strategies in the war of attrition with private information," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 160-166.
    4. Bagh, Adib, 2010. "Variational convergence: Approximation and existence of equilibria in discontinuous games," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1244-1268, May.

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    1. Alos-Ferrer, Carlos, 2004. "Cournot versus Walras in dynamic oligopolies with memory," International Journal of Industrial Organization, Elsevier, vol. 22(2), pages 193-217, February.

    More about this item

    Keywords

    Discretization; continuum strategy spaces; oligopolies;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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