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Engodeneity of Alternating Offers in a Bargaining Game

McKelvey, Richard D. and Palfrey, Thomas R. (1993) Engodeneity of Alternating Offers in a Bargaining Game. Social Science Working Paper, 876. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170823-134601561

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Abstract

We investigate an infinite horizon two-person simultaneous offer bargaining game of incomplete information with discounted playoffs. In each period, each player chooses to give in or hold out. The game continues until at least one of the players chooses to give in, at which point agreement has been reached and the game terminates, with an agreement benefit accruing to each player, and a cost to the player (or players) that give in. Players have privately known agreement benefits. 'Low benefit players have a weakly dominant strategy to hold out forever; high benefit players would be better off giving in if they knew their opponent was planning to hold out forever. For any discount factor there is a unique Nash equilibrium in which the two players alternate in their willingness to give in, if the players' priors about each others type are sufficiently asymmetric. Second, for almost all priors, this is the unique equilibrium if the discount factor is close enough to one.


Item Type:Report or Paper (Working Paper)
ORCID:
AuthorORCID
Palfrey, Thomas R.0000-0003-0769-8109
Additional Information:This research was supported in part by National Science Foundation grant #SES-9223701 to the California Institute of Technology. Published as McKelvey, Richard D., and Thomas R. Palfrey. "Endogeneity of alternating offers in a bargaining game." Journal of Economic Theory 73, no. 2 (1997): 425-437.
Group:Social Science Working Papers
Funders:
Funding AgencyGrant Number
NSFSES-9223701
Series Name:Social Science Working Paper
Issue or Number:876
Classification Code:JEL: 026
Record Number:CaltechAUTHORS:20170823-134601561
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170823-134601561
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80738
Collection:CaltechAUTHORS
Deposited By: Jacquelyn Bussone
Deposited On:30 Aug 2017 20:46
Last Modified:22 Nov 2019 09:58

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