A time consistent dynamic bargaining procedure in differential games with heterogeneous discounting

We study cooperative solutions for differential games where players consume a common property resource. Players are asymmetric, in the sense that they have different preferences and, in particular, different time preferences. We propose a new time-consistent dynamic bargaining procedure for this cla...

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Detalles Bibliográficos
Autores: Castañer, Anna, Marín Solano, Jesús, Ribas Marí, Carme
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/179057
Acceso en línea:https://hdl.handle.net/2445/179057
Access Level:acceso abierto
Palabra clave:Jocs diferencials
Equilibri (Economia)
Simetria (Matemàtica)
Dinàmica
Differential games
Equilibrium (Economics)
Symmetry (Mathematics)
Dynamics
Descripción
Sumario:We study cooperative solutions for differential games where players consume a common property resource. Players are asymmetric, in the sense that they have different preferences and, in particular, different time preferences. We propose a new time-consistent dynamic bargaining procedure for this class of games. This solution concept, which is de ned as the time-consistent dynamic bargaining (TCB) solution, extends the recursive Nash bargaining solution introduced in Sorger (2006) to a continuous time setting. The underlying idea is that, in case of disagreement, the threat is that players will play a noncooperative Markov Perfect Nash equilibrium just during a very small period of time, since new negotiations can take place at every future moment and, in particular, immediately later. Conditions for interior TCB solutions are derived. To illustrate the results, two common property resource games are analyzed in detail.