Evolutionary game theory in complex interconnected networks

Escola Tècnica Superior d’Enginyeria Departament d’Enginyeria Informàtica i Matèmatiques Master of Science in Artificial Intelligence Evolutionary game theory in complex interconnected networks by Joan T. Matamalas Llodrà Keyword: Complex Networks, Game Theory, Evolutionary Dynamics, Evolutionary Game Theory, Multilayer Networks, Interconnected Networks, Prisoners Dilemma, Stag Hunt Cooperation is a ubiquitous and yet not fully-understood phenomenon in Nature: from humans that cooperate to build complex societies to animals like wolves that hunt in packs in order to catch preys larger than they are, or meerkats that watch out for predators in turn while the rest of the colony feeds. Even small microorganism cooperate to survive in hostile environments. We focus here on the impact of the structure of a multiplex network, a new way of representing information about interaction, on the evolution of cooperation, using for that propose concepts of Evolutionary Game Theory. More precisely, we explain our findings on the density of cooperators for each one of the proposed scenarios. Then we turn our attention to the microscopic behaviour of individuals across different layers. And finally, we analyze how the multiplex structure alter the convergence to a stationary point and which are the fluctuations around the stable equilibrium.