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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2024 Volume 16, Issue 3, Pages 58–76 (Mi mgta353)

Cooperative multicriteria dynamic games: application to transportation problems

Anna N. Rettievaab

a Institute of Applied Mathematical Research of the Karelian Research Center of RAS
b Saint Petersburg State University

Abstract: Cooperation plays an important role in dynamic games related to resource allocation problems. The paper investigates multicriteria dynamic game of resource usage. Noncooperative and cooperative strategies and payoffs are obtained via the bargaining schemes. To maintain the cooperative behavior the incentive equilibrium concept, where the center controls the compliance with the cooperative agreement, is adopted. The presented approaches are applied for multicriteria dynamic transportation problem.

Keywords: dynamic games, multicriteria games, cooperative equilibrium, bargaining scheme, transportation problem.

UDC: 519.833.2
BBK: 22.18

Received: 01.09.2024
Revised: 10.09.2024
Accepted: 16.09.2024



© Steklov Math. Inst. of RAS, 2026