  Game theory is fundamental to understanding cooperation between agents.
Mainly, the Prisoner's Dilemma is a well-known model that has been extensively
studied in complex networks. However, although the emergence of cooperation has
been investigated before, the influence of memory in its evolution is not well
understood. This paper presents a detailed study of cooperation dynamics in
which agents have memory. We simulate the evolutionary Prisoner's dilemma game
on random, scale-free and networks presenting degree-degree correlation.
Through extensive simulations, we show that assortativity can improve
cooperation when the temptation to defect increases. Moreover, we show that the
inclusion of memory decreases the network structure influence. Our results
contribute to understanding the role of the network structure and the player's
memory of cooperation.
