The historic strategist

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