Modeling Calculation of Pay-off Matrix and Analysis of Strategic Behaviors by Nash Equilibrium

In this paper, a new model is provided to calculate pay-off matrix by using of effective factors. This model is based on a cooperative game with N player and can be used for multiple cases including industry, tradition, management and etc. An analysis is derived by considering a three-state simulation and solved by Nash equilibrium method for each section. Cooperative game extended for two and three players and each player is looking for increase its market share in cooperation with other competitors. The calculation is based on factors like capability of players to perform their strategic behaviors, market share adjustment by face to face comparison, the ability of any player in defined section and the importance of competitive advantage for players.