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Dynamic multicriteria games with asymmetric players

Anna N. Rettieva ()
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Anna N. Rettieva: Qingdao University

Journal of Global Optimization, 2022, vol. 83, issue 3, No 7, 537 pages

Abstract: Abstract In this paper a new approach to construct cooperative behavior in dynamic multicriteria games with asymmetric players is presented. To obtain noncooperative and cooperative equilibria the ideas of multi-objective optimization and game theory are combined. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium a compromise scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games, and the time-consistent payoff distribution procedure is presented. A dynamic bi-criteria bioresource management problem with different discount factors is considered. The strategies and payoffs of players are obtained under cooperative and noncooperative behavior.

Keywords: Dynamic games; Multicriteria games; Multi-objective optimization; Asymmetric players; Nash bargaining solution; Cooperative solution; 22E46; 53C35; 57S20 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10898-020-00929-5

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