Evolutionary Game Theory - Strategies and Applications: Exploring strategies and applications of evolutionary game theory for modelling and analysing the dynamics of competitive interactions and cooperation among agents

Abstract

Evolutionary game theory provides a powerful framework for understanding the dynamics of competitive interactions and cooperation among agents in various fields, including biology, economics, and social sciences. This paper explores the strategies and applications of evolutionary game theory, highlighting its significance in modeling complex systems and predicting the behavior of agents. We discuss key concepts such as evolutionary stable strategies, replicator dynamics, and Nash equilibria, illustrating their roles in studying the evolution of strategies in games. Furthermore, we examine the application of evolutionary game theory in diverse areas, including biology (e.g., evolution of cooperation), economics (e.g., market competition), and social sciences (e.g., social dilemma). Through this analysis, we demonstrate the broad impact and potential of evolutionary game theory in understanding complex systems and decision-making processes.