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A Note on Multi-Issue Bargaining with a Finite Set of Alternatives

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Author Info
Younghwan In () (National University of Singapore)
Abstract

We study two bilateral multi-issue bargaining procedures with complete information and endogenous agenda, where each issue is associated with a finite set of alternatives. In both procedures, when bargaining frictions are small, we find a large multiplicity of equilibrium agreements, including ones with arbitrarily long delays. Thus, this paper extends the previous results of van Damme et al. (1990) and Muthoo (1991) for the single-issue case to multi-issue cases. Furthermore, we show that in the first procedure (issue-by-issue bargaining), the stationary subgame perfect equilibria alone may support a large multiplicity of inefficient agreements. Confronting a recent study, this implies that it is not necessary to appeal to “strictly controversial” issues in a bargaining problem in order to find multiplicity and delay in agreements.

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Paper provided by National University of Singapore, Department of Economics in its series Departmental Working Papers with number wp0304.

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Length: 14 pages
Date of creation: May 2003
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Handle: RePEc:nus:nusewp:wp0304

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Related research
Keywords: multi-issue bargaining finiteness of alternatives multiple equilibria inefficiency and delay

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances

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  1. Inderst, Roman, 2000. "Multi-issue Bargaining with Endogenous Agenda," Games and Economic Behavior, Elsevier, vol. 30(1), pages 64-82, January. [Downloadable!] (restricted)
  2. Younghwan In & Roberto Serrano, 2000. "Agenda Restrictions in Multi-Issue Bargaining," Working Papers 2000-08, Brown University, Department of Economics.
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  3. Busch, Lutz-Alexander & Wen, Quan, 1995. "Perfect Equilibria in Negotiation Model," Econometrica, Econometric Society, vol. 63(3), pages 545-65, May. [Downloadable!] (restricted)
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  4. Muthoo, Abhinay, 1991. "A Note on Bargaining over a Finite Number of Feasible Agreements," Economic Theory, Springer, vol. 1(3), pages 290-92, July.
  5. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January. [Downloadable!] (restricted)
  6. In, Younghwan & Serrano, Roberto, 2003. "Agenda restrictions in multi-issue bargaining (II): unrestricted agendas," Economics Letters, Elsevier, vol. 79(3), pages 325-331, June. [Downloadable!] (restricted)
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  7. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics. [Downloadable!]
  8. Avery Christopher & Zemsky Peter B., 1994. "Money Burning and Multiple Equilibria in Bargaining," Games and Economic Behavior, Elsevier, vol. 7(2), pages 154-168, September. [Downloadable!] (restricted)
  9. Fernandez, Raquel & Glazer, Jacob, 1991. "Striking for a Bargain between Two Completely Informed Agents," American Economic Review, American Economic Association, vol. 81(1), pages 240-52, March. [Downloadable!] (restricted)
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