Distribution of winners in truel games
R. Toral, P. Amengual
Abstract
In this work we present a detailed analysis using the Markov chain theory of some versions of the truel game in which three players try to eliminate each other in a series of one-to-one competitions, using the rules of the game. Besides reproducing some known expressions for the winning probability of each player, including the equilibrium points, we give expressions for the actual distribution of winners in a truel competition.
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