A model for real poker with an upper bound of assets

  • S. Sakai
Contributed Papers


This paper considers a continuous model of two-person poker, where the maximal amount of betB is assumed and the player who acts first chooses the amount of bet in the game. We analyze a model, in which the range of the amount of bet β is a finite interval [0,B], 0≤B<+∞, to obtain a saddle point of the payoff function as a pair of optimal strategies among mixed strategies. We compare our results with those of Karlin and Restrepo and those of Newman.

Key Words

Two-person zero-sum poker games minimax optimal solutions size of bet bluffing strategies 


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  1. 1.
    Karlin, S.,Mathematical Methods and Theory in Games, Programming, and Economics, Vol. 2, Pergamon Press, London, England, 1959.Google Scholar
  2. 2.
    Karlin, S., andRestrepo, R.,Multistage Poker Models, Annals of Mathematics Studies No. 39, Edited by M. Dresher, A. W. Tucker, and P. Wolfe, Princeton University Press, Princeton, New Jersey, 1957.Google Scholar
  3. 3.
    Newman, D. J.,A Model for Real Poker, Operations Research, Vol. 7, pp. 557–560, 1959.Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • S. Sakai
    • 1
  1. 1.Department of Applied Mathematics, Faculty of Engineering ScienceOsaka UniversityToyonaka, OsakaJapan

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