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This article is cited in 2 scientific papers (total in 2 papers)
Applied mathematics
Two-stage network games modeling the Belt and Road Initiative
P. Sunaa, E. M. Parilinaa, H. W. Gaobb a St Petersburg State University, 7–9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
b Qingdao University, School of Mathematics and Statistics, 308, Ningxia Road, Qingdao, 266071, People's Republic of China
Abstract:
Inspired by the Belt and Road Initiative, we introduce a model of two-stage network games, when players first form a directed network (the first stage) and then they may reconsider the actions made at the first stage and choose controls to influence other players in a positive or negative way (the second stage). At both stages players get their payoffs. Considering a cooperative version of the game, we examine the problem of subgame network consistency and design an imputation distribution procedure as a new system of stage payments to guarantee the long-term cooperation. The Shapley value with exogenous directed graph constraint is used as a cooperative solution concept. Finally, we prove that a cooperative subgame is convex which ensures the non-emptiness of the core.
Keywords:
network games, subgame consistency, imputation distribution procedure, the Shapley value, directed graph, convex game.
Received: July 28, 2021 Accepted: February 1, 2022
Citation:
P. Suna, E. M. Parilina, H. W. Gaob, “Two-stage network games modeling the Belt and Road Initiative”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 18:1 (2022), 87–98
Linking options:
https://www.mathnet.ru/eng/vspui517 https://www.mathnet.ru/eng/vspui/v18/i1/p87
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Abstract page: | 69 | Full-text PDF : | 9 | References: | 15 | First page: | 5 |
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