Journal
AUTOMATION AND REMOTE CONTROL
Volume 80, Issue 10, Pages 1912-1927Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0005117919100114
Keywords
dynamic games; multicriteria games; ash equilibrium; cooperative equilibrium; characteristic function; Nash bargaining scheme
Funding
- Shandong Province Double-Hundred Talent Plan [WST2017009]
- Russian Foundation for Basic Research [16-01-00183_a, 16-41-100062 r_a]
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In this paper, new approaches to obtain optimal behavior in dynamic multicriteria games are suggested. The multicriteria Nash equilibrium is designed via the Nash bargaining scheme (Nash products), and the cooperative equilibrium is determined by the Nash bargaining solution for the entire planning horizon. The process of coalition formation in dynamic mul-ticriteria games is studied. For constructing the characteristic function the Nash bargaining scheme is applied, where the multicriteria Nash equilibrium plays the role of the status quo points. Two modifications of the characteristic function are presented that take into account the information structure of the game (the models without and with information). The dynamic multicriteria bioresource management problem is considered. The players' strategies and the quantities of resource are compared under the cooperative and noncooperative behavior for the above modifications of the characteristic function.
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