ABSTRACT
This chapter aims to know the concept of formulating a game payoff matrix and understand total and partial conflict games. Game theory studies competition and is used to analyze conflict among two or more opponents. Mathematical tools are used to study situations in which rational players are involved in conflict both with and without cooperation. Game theory mathematically captures behavior in strategic situations in which an individual’s success in making choices depends on the choices of their opponents. The chapter presents the normative form and its associated solution methodologies. It presents only the movement diagram for finding pure strategy solutions, and the linear programming formulation for all solutions of a zero-sum game. The chapter presents several illustrative examples of the theory of total-conflict games and discusses the outcomes used in the payoff matrix, and presents a possible solution for the game. The structure of the game is remarkably similar to our simplified game.
