Publications

Scientific publications

В.В. Мазалов, А.Н. Реттиева.
Применение арбитражных схем для определения равновесий в динамических играх
// Математическая Теория Игр и ее Приложения, т. 15, в. 2. 2023. C. 75-88
Vladimir V. Mazalov, Anna N. Rettieva. Application of bargaining schemes for equilibrium determination in dynamic games // Mathematical game theory and applications. Vol 15. No 2. 2023. Pp. 75-88
Keywords: dynamic games, asymmetric players, multicriteria games, cooperative equilibrium, bargaining scheme
Cooperation plays an important role in dynamic games related to resource management problems. To construct the cooperative behavior in asymmetric (when players possess different discount factors) and multicriteria (when players have vector payoff functions) dynamic games the standard approaches are not applicable. The paper presents the methods based on bargaining schemes to determine the cooperative equilibria in such games. The cooperative strategies and payoffs in asymmetric dynamic games are obtained via the Nash bargaining scheme, while for the multicriteria dynamic games the modified bargaining schemes are applied. To illustrated the presented approaches, dynamic bioresource management problems (fish wars problem) with asymmetric players and vector payoff functions is investigated.
Indexed at RSCI, RSCI (WS)

vol_15_2_075-88_mazalov_rettieva.pdf (345 Kb, total downloads: 60)

Last modified: July 14, 2023