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Authors
Advisor(s)
Abstract(s)
Teoria de jogos é uma teoria no ramo da matemática criada com o objectivo de modelar eventos onde duas ou mais pessoas interagem entre si. O objectivo desta teoria é perceber como fazer escolhas óptimas quando se está perante um conflito. Existem vários tipos de jogos, nós focamos-nos nos jogos evolucionários. É um jogo onde ao longo do tempo, as estratégias de cada jogador se adaptam e convergem para um equilíbrio. Um caso especial deste tipo de jogos são os jogos fictícios. O nosso objectivo foi mostrar que ao longo do tempo existe a convergência para um equilíbrio.
Game Theory is a mathematical theory emerged with the aim of modeling events between two people. The goal of this theory is to understand how to make the best choice of strategy when we are facing a conflict. There are many types of games, we focused in evolutionary games. These are games that are repeatedly infinitely. Over time there is a dynamic adaptation of the strategies, the equilibrium comes naturally. Within these type of games there are a particular game known as fictitious play. Our goal was to show that, over time, the system will converge to the equilibrium.
Game Theory is a mathematical theory emerged with the aim of modeling events between two people. The goal of this theory is to understand how to make the best choice of strategy when we are facing a conflict. There are many types of games, we focused in evolutionary games. These are games that are repeatedly infinitely. Over time there is a dynamic adaptation of the strategies, the equilibrium comes naturally. Within these type of games there are a particular game known as fictitious play. Our goal was to show that, over time, the system will converge to the equilibrium.
Description
Mestrado em Mathematical Finance
Keywords
teoria de jogos jogos fictícios dinâmicas da melhor resposta equilíbrio de Nash game theory fictitious play best response dynamics Nash Equilibrium
Pedagogical Context
Citation
Luz, Maria Ferreira Vila (2017). "Classification of 2x2 fictitious play". Dissertação de Mestrado, Universidade de Lisboa. Instituto Superior de Economia e Gestão.
Publisher
Instituto Superior de Economia e Gestão