Game Theory: Toolkit and Workbook for Defense Analysis Students

摘要

The purpose of this thesis is to provide a workbook of the game theory topics covered in the course 'SO4410 Models of Conflict.' The thesis also provides a software toolkit that enables students to solve the problems easier and faster, thereby focusing more on analysis of the situation than on the mathematical side of the problem. The workbook gives a basic review of the fundamental concepts and a detailed explanation for solving simple game theory problems using pen and paper. Topics cover two- and three-person games. Two- person games include the following: (1) zero-sum games and their solutions in the pure or mixed strategy, (2) partial-sum games without communication among the players, and (3) communication among players and its effect on the game. Three-person games focus on likely coalitions among the players. The toolkit covers two-person zero-sum games, the Nash arbitration scheme, strategic moves, prudential and equalizing strategies in partial-sum games, three-person games, and a supplemental template for linear programming problems with up to 10 variables and 30 constraints.