Dynamic multicriteria games with asymmetric players

Rational Behavior in Dynamic Multicriteria Games

“…As was demonstrated in [5], with the presented approach, the cooperative payoffs of the players are greater than or equal to the multicriteria Nash payoffs. Hence, the conditions of individual rationality…”

“…For the multicriteria dynamic games, the Nash product with the sums of players' payoffs for the criteria in which the sums of their noncooperative payoffs act as the status quo points was applied in [3,4]. In [5], a new approach to determine cooperative behavior in dynamic multicriteria game with asymmetric players was presented. More specifically, the cooperative strategies and payoffs of players are determined from the modified bargaining solution for the entire game horizon.…”

“…is a rational multicriteria cooperative equilibrium [5] of problem (1), (2) if it is the solution of problem (5).…”

“…To construct the cooperative payoffs and strategies the modified bargaining scheme will be applied [5]. First, we have to determine the noncooperative payoffs as the ones gained by the players using the multicriteria Nash strategies.…”

“…First, we construct a multicriteria Nash equilibrium applying the bargaining concept (via Nash products [2,3]). Then, we find a multicriteria cooperative equilibrium as a solution of modified bargaining scheme with the multicriteria Nash equilibrium payoffs playing the role of status quo points [4,5]. The presented approach guarantees that the cooperative payoffs of the players are greater than or equal to the multicriteria Nash payoffs.…”