Game theory approach for multiobjective structural optimization

The concept of Pareto-optimal solution is discussed in the context of a multiobjective structural optimization problem and the commonly used methods of generating Pareto-optimal solutions are indicated. The graphical interpretations of the non-cooperative and cooperative game theory approaches are presented for a two-criteria optimization problem. The relationship between Pareto-optimal solutions and game theory is described. A computational procedure is developed for solving a general multiobjective optimization problem using cooperative game theory. The procedure is illustrated with two numerical examples.