Truels, or survival of the weakest

The uses of truels in game theory make it interesting from a pedagogical viewpoint because they illustrate in a clear way, the concepts of the game theory. A truel has different rules from a duel in which the best player can take to optimize their probability of winning the game. All players in the truel wants to be sole survivor, and they choose strategies that maximize their survival probability to be remained in the game. The players' strategies in this game are uncooperative because alliances or pact between the players are not allowed. The players in the game theory are rational agents and adopt a strategy that's the best response to the other players' strategies. When truel is considered as a model of opinion spreading, in which players aim to convince rather than eliminate each other and finally game ends when all players share the same opinion. The extension of truel rules to more than three players make it difficult to implement those rules in computer program.