Analyzing Related Strategic Behavior Through Strictly Alternating Interactions with Two-Memory Length

Abstract

Reciprocal altruism can often be modeled through the iterated Prisoner’s Dilemma game in which players take turns in the roles of donor and recipient. Several late studies were based on memory alteration in the repeated Prisoner’s Dilemma game. This prompted us to study this alteration in a strictly alternating iterated Prisoner’s Dilemma game. In our work, we represented the repeated games played by finite states of automata. Also, we supposed that there is relatedness between the players in this game. A relatedness average degree r considered between players, where 0 ≤ r ≤ 1. The effect of noise on the relatedness degree among players can be examined with regard to the behavior of the strategies in their competitions.