Game theory is the mathematical tool to study cooperation and competition. Since the beginnings of operations research and game theory both fields have been closely related. This thesis further investigates this relationship. Costs or rewards sharing problems arising from scheduling problems, traveling salesman problems and project management are investigated within the framework of game theory. Refinements of the set of optimal solutions of linear programming problems are studied by making use of the relationship betweenof linear programming problems, linear complementarity problems, and matrix games. Finally, competitive environments, i.e. bimatrix games for which some appealing properties of matrix games are kept, are analyzed.
|Qualification||Doctor of Philosophy|
|Award date||29 Sep 2006|
|Place of Publication||Tilburg|
|Publication status||Published - 2006|