Game Theory, Complexity and Control

Abstract

This thesis explores three interconnected branches of game theory and complex systems: evolutionary game theory, complexity analysis, and strategic control. Game theory studies how individuals make strategic decisions. This helps un derstand better behaviors present in diverse fields, from social sciences to economics and physics [1, 2, 3]. A powerful way to study these interactions is through evo lutionary game theory, which utilizes dynamical evolving populations to model the behavior of real-world communities.