An agreeable collusive equilibrium in differential games with asymmetric players

被引:4
作者
Castaner, Anna [1 ]
Marin-Solano, Jesus [1 ,2 ]
Ribas, Carmen [1 ]
机构
[1] Univ Barcelona, Dept Matemat Econ Financera & Actuarial, Av Diagonal 690, Barcelona 08034, Spain
[2] Univ Barcelona, BEAT, Barcelona, Spain
关键词
Differential games; Collusive equilibrium; Agreeability; Asymmetric players; Heterogeneous discounting; Dynamic bargaining;
D O I
10.1016/j.orl.2019.10.004
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
We study a class of collusive equilibria in differential games with asymmetric players discounting the future at different rates. For such equilibria, at each moment, weights of players can depend on the state of the system. To fix them, we propose using a bargaining procedure according to which players can bargain again at every future moment. By choosing as threat point the feedback noncooperative outcome, the corresponding solution, if it exists, is agreeable. An exhaustible resource game illustrates the results. (C) 2019 Elsevier B.V. All rights reserved.
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页码:4 / 8
页数:5
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