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Mathematics 2018, 6(9), 156; https://doi.org/10.3390/math6090156

Dynamic Multicriteria Games with Finite Horizon

1
Institute of Applied Mathematical Research of the Karelian Research Centre of RAS, 11, Pushkinskaya Str., Petrozavodsk 185910, Russia
2
Saint-Petersburg State University, 7–9, Universitetskaya Nab., Saint-Petersburg 199034, Russia
Current address: 11, Pushkinskaya str., Petrozavodsk 185910, Russia.
Received: 31 July 2018 / Revised: 8 August 2018 / Accepted: 3 September 2018 / Published: 5 September 2018
(This article belongs to the Special Issue Mathematical Game Theory)
Full-Text   |   PDF [266 KB, uploaded 5 September 2018]   |  

Abstract

The approaches to construct optimal behavior in dynamic multicriteria games with finite horizon are presented. To obtain a multicriteria Nash equilibrium, the bargaining construction (Nash product) is adopted. To construct a multicriteria cooperative equilibrium, a Nash bargaining scheme is applied. Dynamic multicriteria bioresource management problem with finite harvesting times is considered. The players’ strategies and the payoffs are obtained under cooperative and noncooperative behavior. View Full-Text
Keywords: dynamic games; multicriteria games; Nash bargaining solution; cooperative equilibrium dynamic games; multicriteria games; Nash bargaining solution; cooperative equilibrium
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Rettieva, A. Dynamic Multicriteria Games with Finite Horizon. Mathematics 2018, 6, 156.

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