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The reduced form of a game

Author

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  • Vermeulen, D.
  • Jansen, M.J.M.

    (Quantitative Economics)

Abstract

The goal of this paper is twofold. Firstly a short proof of the unicity of the reduced form of a normal form game is provided, using a technique to reduce a game originally introduced by Mertens. Secondly a direct combinatorial-geometric interpretation of the reduced form is described. This description is then used to derive an algorithm for the calculation of the reduced form of a game.
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Suggested Citation

  • Vermeulen, D. & Jansen, M.J.M., 1997. "The reduced form of a game," Research Memorandum 001, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:1997001
    DOI: 10.26481/umamet.1997001
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    References listed on IDEAS

    as
    1. Jean-François Mertens, 2004. "Ordinality in non cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(3), pages 387-430, June.
    2. Vermeulen, A. J. & Jansen, M. J. M., 1997. "Extending Invariant Solutions," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 135-147, October.
    3. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
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    Cited by:

    1. Gossner, Olivier, 2010. "Ability and knowledge," Games and Economic Behavior, Elsevier, vol. 69(1), pages 95-106, May.
    2. Carlos Alós-Ferrer & Klaus Ritzberger, 2020. "Reduced normal forms are not extensive forms," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 281-288, October.

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