[en] In 1951, John Forbes Nash defined a solution concept for games with two or more players which today is known as Nash equilibrium. We will study these equilibria for games that are repeated infinitely, and we will see the proof of the existence of these solutions, made by James W. Friedman in 1971. We will focus on two of the most known games, the prisoner’s dilemma and the Cournot’s oligopoly. Finally, we will perform simulations that will help us to confirm the equilibrium results.

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Josep Vives i Santa Eulàlia