الفهرس 
DEFINITIONS AND BASIC CONCEPTSOnly 14 pages are availabe for public view
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Abstract
This thesis provides important insights into game theory. Game theory enters our everyday life and treatment. There is no successful business without cooperation. Part of our life requires cooperation with each other and the other part is struggle and competition to reach the best. The study of game theory makes players make the best choices considering certain conditions to obtain results. Each player chooses his strategy without looking at the other player. Each player gets the same payoff as the other player if they choose the same strategy in single community games. in two population game, the payoff will be different and unequal. This thesis consists of three chapters on several topics in game theory.
The first chapter is an introduction to the thesis and contains many important and basic terms in game theory, an example of this is the concept of the game and its content and examples of games, including the prisoner’s dilemma and the most important games in game theory. Other very important games in game theory are mentioned. It also contains the concept of Nash equilibrium, which is a very important concept for game theory.
The second chapter concerned with two population game. The prisoner’s dilemma was explained more broadly in terms of two or three players. It contains the most basic definitions that we need in game theory. We also talked about cooperation and likened it to human cells and mentioned three types. There is direct cooperation such as the exchange of goods and the obtaining of money by one party which is considered indirect cooperation.
The third chapter focused on the prisoner’s dilemma in three players, and the players were divided into two groups, ”Tempered players and Natural-Tempered players”. We used a programming language to get the best strategy for the players in each group. We collected similar strategies in these two groups and studied if an individual meets all the players in his group, what is the best strategy in this group. The results of this chapter were published in Journal of Mathematical and Computational Science in 2021 under name El-seidy, Essam, Reda, Naglaa M and El-Salam, Salsabeel M A B D, Predicting mood behaviors of prisoner’s dilemma players (2021), 4650-4667, 11(4).