A game method for multiple attribute decision-making without weight information

A game model for solving multiple attribute decision making without weight information is proposed. In this model, each attribute is a player whose strategy is to choose a value to endow its attribute weight, and whose utility is matching degree between alternative order produced by decision making and alternative order produced by magnitude of attribute. The Nash equilibrium solution is obtained by using genetic algorithm, and an equilibrium profile is an attribute weight vector. Under the equilibrium profile, the matching degree between alternative order produced by decision making and all alternative orders produced by magnitude of attribute values are better. The results of experiments show that the game method is effective and feasible.