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An agreeable collusive equilibrium in differential games with asymmetric players
Abstract: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.
Keywords:Differential games  Collusive equilibrium  Agreeability  Asymmetric players  Heterogeneous discounting  Dynamic bargaining
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