For the $n$-player game, $n\geq 3$, we determine an optimal go/no-go strategy against "bloc play" in which players 2-n pursue identical strategies, giving nonnegative return for player 1. Using this criterion, we determine an optimal "pure" strategy for the 2-player game consisting of a simple "go/no-go" criterion. We provide a sharp, easily applied criterion eliminating this scenario, under which one may compute a value for general games of this type. An interesting aspect of such games is the need to account for funds lost to all players if expected stakes do not go to zero with the number of rounds of play. Download a PDF of the paper titled Game-theoretic analysis of Guts Poker, by Luca Castornova and 2 other authors Download PDF Abstract:We carry out a game-theoretic analysis of the recursive game "Guts," a variant of poker featuring repeated play with possibly growing stakes.
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