Solving the Three Person Game in Game Theory Using Excel

We built templates to assist in the solving of the three person game for both total and partial conflict games. These solutions find any pure strategie solutions for the players playing alone and without communication. Then every combination of coalitions between players is found and solved. Users must interpret the results to determine if any coalition is more likely than others to be formed. Additionally, the user must consider the use of bribes or side payments to change the outcomes if any player would prefer a different outcome than the results found. Key words: Total conflict games, partial conflict games, zero sum, nonzero sum games, game theory, Nash equilibrium, prudential strategies, security levels, Nash arbitration, linear programming, nonlinear programming, MS-Excel