Raport Badawczy = Research Report ; RB/40/2015 ; Equilibria representing preferences of the players in multicriteria noncooperative games

The paper deals with multicriteria decision support in conflict situations described as a multicriteria noncooperative game. Generalization of the noncooperative game theory for the multicriteria case is required for construction of such decision support. New theoretical results in this case are presented. They include parametric characterization of the multicriteria gains representing preferences of the players as well as relations of equilibria in the multicriteria games and respective classical games. An algorithm supporting analysis of payoffs in the multicriteria game and derivation of the best response strategies satisfying preferences of the players is proposed. It is shown that proposed parametrization of the multicriteria game allows to derive equilibria representing preferences of the players. ; 18 pages ; 21 cm ; Bibliography p. 15 ; The paper deals with multicriteria decision support in conflict situations described as a multicriteria noncooperative game. Generalization of the noncooperative game theory for the multicriteria case is required for construction of such decision support. New theoretical results in this case are presented. They include parametric characterization of the multicriteria gains representing preferences of the players as well as relations of equilibria in the multicriteria games and respective classical games. An algorithm supporting analysis of payoffs in the multicriteria game and derivation of the best response strategies satisfying preferences of the players is proposed. It is shown that proposed parametrization of the multicriteria game allows to derive equilibria representing preferences of the players. ; 18 stron ; 21 cm ; Bibliografia s. 15