This course on evolutionary game theory will enable students to study basic concepts about game theory and the historical background in the creation of this innovative concept as a tool to elucidate potential decision making in different areas of life. Students should be familiar with calculus, and basic concepts in probability theory and ordinary differential equations. The following topics will be covered in this course: definition of game theory and its historical background, fundamental concepts in the game theory, eliminating dominating strategies, Nash equilibria, games in extensive form with complete and incomplete information, the Folk theorem, the Samaritan’s Dilemma, and evolutionary dynamics.