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Computing normal form perfect equilibria for extensive two-person games

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  • von Stengel, B.
  • van den Elzen, A.H.
  • Talman, A.J.J.

    (Tilburg University, School of Economics and Management)

Abstract

This paper presents an algorithm for computing an equilibrium of an extensive two-person game with perfect recall. The method is computationally efficient by virtue of using the sequence form, whose size is proportional to the size of the game tree. The equilibrium is traced on a piecewise linear path in the sequence form strategy space from an arbitrary starting vector. If the starting vector represents a pair of completely mixed strategies, then the equilibrium is normal form perfect. Computational experiments compare the sequence form and the reduced normal form, and show that only the sequence form is tractable for larger games. Copyright The Econometric Society 2002.
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Suggested Citation

  • von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 2002. "Computing normal form perfect equilibria for extensive two-person games," Other publications TiSEM 9f112346-b587-47f3-ad2e-6, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:9f112346-b587-47f3-ad2e-6ce5ec9eb7d3
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    References listed on IDEAS

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    1. Dai, Y. & Talman, D., 1990. "Linear Stationary Point Problems On Unbounded Polyhedra," Papers 9067, Tilburg - Center for Economic Research.
    2. von Stengel, B. & van den Elzen, A.H. & Talman, A.J.J., 1996. "Tracing equilibria in extensive games by complementary pivoting," Other publications TiSEM 438ed645-c6be-469e-a7d9-7, Tilburg University, School of Economics and Management.
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