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Simultaneous-offers bargaining with a mediator

Shunsuke Hanato

Games and Economic Behavior, 2019, vol. 117, issue C, 361-379

Abstract: An arbitrator is often introduced into bargaining to avoid disagreement. The arbitrator's role is to impose some agreement when negotiators cannot reach an agreement. However, in models with an arbitrator, a fair agreement for negotiators is eliminated from equilibrium outcomes if the arbitrator is biased. To avoid disagreement without eliminating the achievability of a fair agreement in equilibrium, we consider introducing a mediator. While an arbitrator imposes an agreement, a mediator can only give advice. We analyze a simultaneous-offers bargaining model with a mediator and obtain the following desirable results. First, disagreement is not supported as an outcome of a stationary subgame perfect equilibrium (SSPE). Second, even if a mediator is biased, the fair agreement in the sense of the Nash bargaining solution (NBS) is always one of the SSPE agreements. Finally, if a mediator is fair, negotiators always reach an agreement with the NBS in SSPE.

Keywords: Simultaneous-offers bargaining; Mediator; Bias; Nash bargaining solution; Disagreement (search for similar items in EconPapers)
JEL-codes: C72 C73 C78 J52 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:117:y:2019:i:c:p:361-379

DOI: 10.1016/j.geb.2019.07.008

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