Journal
MATHEMATICS
Volume 8, Issue 9, Pages -Publisher
MDPI
DOI: 10.3390/math8091485
Keywords
dynamic games; multicriteria games; Nash bargaining solution; dynamic stability; rational behavior conditions
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Funding
- Shandong province Double-Hundred Talent Plan [WST2017009]
- Russian Science Foundation [17-11-01079]
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We consider a dynamic, discrete-time, game model wherenplayers use a common resource and have different criteria to optimize. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium, a modified bargaining scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games. To stabilize the multicriteria cooperative solution a time-consistent payoff distribution procedure is constructed. The conditions for rational behavior, namely irrational-behavior-proofness condition and each step rational behavior condition are defined for dynamic multicriteria games. To illustrate the presented approaches, a dynamic bi-criteria bioresource management problem with many players is investigated.
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