An agreeable collusive equilibrium in differential games with asymmetric players

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 pla...

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Bibliographic Details
Authors: Castañer, Anna, Marín Solano, Jesús, Ribas Marí, Carme
Format: article
Status:Versión aceptada para publicación
Publication Date:2020
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/146689
Online Access:https://hdl.handle.net/2445/146689
Access Level:Open access
Keyword:Jocs diferencials
Equilibri (Economia)
Simetria (Matemàtica)
Dinàmica
Differential games
Equilibrium (Economics)
Symmetry (Mathematics)
Dynamics
Description
Summary: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.