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Distribution of winners in truel games

Toral, Raúl; Amengual, Pau
Modeling cooperative behavior in the social sciences 779, American Institute of Physics 128-141 (2005)

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.