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Computation of Optimal Poker Strategies

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  • Norman Zadeh

    (Berkeley, California)

Abstract

In this paper we discuss aspects of the solution of an eight-person draw poker game. Best strategies against perfect players (game-theoretic strategies) and against lesser players are presented. These strategies generally are functions of pot odds, the positions of relavant opponents, and their playing habits. For example, if player A opens with a pair of kings or better (his habit), player B should call with a minimum of aces when second from last to act (his position) and the pot equals twice the bet (pot odds are 2 to 1). Strategies of this type are given for opening, calling, and raising. We study the percentage of time one should raise as a bluff before the draw. A simple explanation is given for previously known results concerning optimal bluffing and calling after the draw.

Suggested Citation

  • Norman Zadeh, 1977. "Computation of Optimal Poker Strategies," Operations Research, INFORMS, vol. 25(4), pages 541-562, August.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:4:p:541-562
    DOI: 10.1287/opre.25.4.541
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