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The Dynamics of Bargaining Postures: The Role of a Third Party

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Author Info
Jihong Lee () (Birkbeck College, University of London)
Qingmin Liu () (Department of Economics, University of Pennsylvania)

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Abstract

In many real world negotiations, from wage contract bargaining to product liability disputes, the bargaining parties often interact repeatedly and have the option of seeking outside judgement. This paper studies a model of repeated bargaining with a third party to analyze how and why bargaining postures endogenously evolve over time. A privately informed long-lived player bargains with a sequence of short-lived players, one at a time. Should the players fail to reach an agreement, an unbiased yet imperfect third party is called upon to make a judgement. The uninformed short-lived players learn through two channels: observed behavior of the informed player (\soft" information) and, if any, verdicts of the third party (\hard" information). The long-lived player wants to guard his private information by bargaining tough but at the expense of more information disclosure from the third party. As a result of the strategic use of these two sources of information, the players' bargaining postures change as the uninformed players' beliefs evolve. Interestingly, as third party information becomes more precise, the players adopt tough bargaining postures for a wider range of beliefs. Many repeated bargaining problems can be analyzed in this framework. In particular, the equilibrium dynamics provide an explanation for the puzzling contrast between the bargaining postures of Merck and Pfizer in their recent high-profile product liability litigations. The results also help us understand several other phenomena documented in the related literature.

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Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 09-001.

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Length: 45 pages
Date of creation: 04 Nov 2008
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Handle: RePEc:pen:papers:09-001

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Related research
Keywords: bargaining posture; repeated bargaining; third party information; reputation;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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  6. Spier, Kathryn E, 1992. "The Dynamics of Pretrial Negotiation," Review of Economic Studies, Blackwell Publishing, vol. 59(1), pages 93-108, January. [Downloadable!] (restricted)
  7. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
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  8. Schmidt Klaus M., 1993. "Commitment through Incomplete Information in a Simple Repeated Bargaining Game," Journal of Economic Theory, Elsevier, vol. 60(1), pages 114-139, June. [Downloadable!] (restricted)
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