Extortion strategies in non-symmetric noisy iterated prisoner's dilemma game

In this study, good strategies and Zero-Determinant (ZD) strategies, generous strategies and extortion strategies which are the subsets of ZD strategies are introduced. In Symmetric Iterated Prisoner's Dilemma, when generous and extortion strategies are used by the players, it is known that the linear relationship between the player's long term payoffs is hold in certain circumstances. Here, it has been also shown that this condition is valid in certain circumstances in Non-Symmetric Iterated Prisoner's Dilemma. Moreover, for Non-Symmetric Noisy Iterated Prisoner's Dilemma it has been shown that the player who uses the weak extortion strategy can enforce the opponent by establishing a linear relationship between his opponent and his own payoff under certain circumstances.