On the effect of memory on the Prisoner?s Dilemma game in correlated networks

Game theory is fundamental to understanding cooperation between agents. The Pris-oner's Dilemma is a well-known model extensively studied in complex networks. However, previous works ignore players' memory, and the decisions about the strategies are based only on the latest games. At the same time, in real-world games, players generally consider the current situation and previous experiences when deciding their strategy. In this paper, we study how memory influences cooperation in correlated networks. We consider the evolutionary Prisoner's Dilemma game on random and scale -free networks presenting degree-degree correlation. Through extensive simulations, we show that assortativity can improve cooperation when the temptation to defect increases. Moreover, our results suggest that including memory decreases the network structure's influence on cooperation. Our study contributes to understanding the role of the network topology and the player's memory on cooperation.(c) 2022 Elsevier B.V. All rights reserved.