Computation of Optimal Poker Strategies

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.