Cooperation maintenance in dynamic discrete-time multicriteria games with application to bioresource management problem

We consider a dynamic, discrete-time, game model where the players use a common resource and seek to optimize different criteria. The center (referee) shares the resource available for ex-ploitation between the competitors. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To obtain a multicriteria cooperative equilibrium, a modified bargaining scheme that guarantees the fulfillment of individual rationality conditions is applied. Two approaches to maintain cooperative behavior, namely, the cooperative incentive equilibrium and the time-consistent payoff distribution procedure, are considered. Moreover, the cooperative incentive equilibrium is constructed under the assumption that the center punishes players for deviations. A dynamic bi-criteria bioresource management problem is investigated to illustrate the solution concepts proposed.