Players' Rationality and Prisoners' Dilemma Game

Abstract

     In this paper we assume explicitly that a player has an incentive to a cooperative behavior in prisoners’ dilemma game and try to explain the realization of cooperative behavior. In addition to the usual utility-maximizer, we add some types of players who have a tendency to a cooperative behavior and show that some of the latter types contribute the realization of cooperation in a long period of interaction. Further in the replicator dynamics of the average payoff game it is shown that as the time goes to infinity the ratio of the selfish type decreases to 0% and that of Sticky Tit-for-Two-Tats (STF2T) increases. Also we propose a new learning model where the ratio of the selfish type remains the same and that of cooperative type increases in terms of STF2T.