The historic strategist

The basic aim of this paper is to extend earlier work on assessing the effe ct of considering previous results (history) in the evolutionary dynamics o f the spatial formulation of the Prisoner's Dilemma. In the simpler histori c models considered earlier, players did not elaborate strategies. In the p resent work one-dimensional strategies are followed by the players. Both sy nchronous and asynchronous updating schemes have been taken into account. I t is concluded here that the essential result found in the no-strategies sc enario remains valid when keeping historic memory of payoffs, moves and of the strategies themselves: history induces a preserving effect.