On the Nash Equilibria of a Duel with Terminal Payoffs
Athanasios Kehagias
Abstract:We formulate and study a two-player duel game as a terminal payoffs stochastic game. Players P1,P2 are standing in place and, in every turn, each may shoot at the other (in other words, abstention is allowed). If Pn shoots Pm (m≠n), either they hit and kill them (with probability pn) or they miss and Pm is unaffected (with probability 1−pn). The process continues until at least one player dies; if no player ever dies, the game lasts an infinite number of turns. Each player receives a positive payoff upon killi… Show more
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