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Computing Equilibria of Two-Person Games from the Extensive Form

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  • Robert Wilson

    (Stanford University)

Abstract

The Lemke-Howson algorithm for computing equilibria of finite 2-person non-cooperative games in normal form is modified to restrict the computations to the ordinarily small portion corresponding to the strategies actually used by the players, and further it is shown that in games with perfect recall these strategies can be generated as needed from an auxiliary analysis of the players' decision trees derived from the extensive form of the game.

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File URL: http://dx.doi.org/10.1287/mnsc.18.7.448
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Bibliographic Info

Article provided by INFORMS in its journal Management Science.

Volume (Year): 18 (1972)
Issue (Month): 7 (March)
Pages: 448-460

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Handle: RePEc:inm:ormnsc:v:18:y:1972:i:7:p:448-460

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Cited by:
  1. P. Herings & Ronald Peeters, 2010. "Homotopy methods to compute equilibria in game theory," Economic Theory, Springer, vol. 42(1), pages 119-156, January.
  2. Bernhard Stengel, 2010. "Computation of Nash equilibria in finite games: introduction to the symposium," Economic Theory, Springer, vol. 42(1), pages 1-7, January.
  3. Kolen, Antoon, 2006. "A genetic algorithm for the partial binary constraint satisfaction problem: an application to a frequency assignment problem," Research Memoranda 045, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
  4. Prakash Shenoy, 1998. "Game Trees For Decision Analysis," Theory and Decision, Springer, vol. 44(2), pages 149-171, April.
  5. Govindan, Srihari & Wilson, Robert, 2003. "A global Newton method to compute Nash equilibria," Journal of Economic Theory, Elsevier, vol. 110(1), pages 65-86, May.

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