Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 441, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cam.2023.115699
Keywords
Dynamic games Multicriteria games Dynamic stability Incentive equilibrium Resource management problem Resource sharing
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This study considers a dynamic game model where players share a resource and aim to optimize different criteria. The study uses bargaining solutions to construct multicriteria Nash equilibrium and multicriteria cooperative equilibrium. Two approaches, cooperative incentive equilibrium and time-consistent payoff distribution procedure, are considered to maintain cooperative behavior.
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.
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