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Limit Solutions for Finite Horizon Bargaining Problems

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Author Info

  • Haruo Imai

    (Kyoto Institute of Economic Research, Kyoto University, Kyoto, Japan)

  • Hannu Salonen

    (Department of Economics and PCRC, University of Turku, 20014 Turku, Finland)

Abstract

We investigate a random proposer bargaining game with a dead line. A bounded time interval is divided into bargaining periods of equal length and we study the limit of the subgame perfect equilibrium outcome as the number of bargaining periods goes to infinity while the dead line is kept fixed. This limit is close to the Raiffa solution when the time horizon is very short. If the dead line goes to infinity the limit outcome converges to the time preference Nash solution. The limit outcome is given an axiomatic characterization as well.

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Bibliographic Info

Paper provided by Aboa Centre for Economics in its series Discussion Papers with number 51.

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Length: 19
Date of creation: Jun 2009
Date of revision:
Handle: RePEc:tkk:dpaper:dp51

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Keywords: Nash solution; Raiffa solution; bargaining;

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  1. Coles, Melvyn G. & Muthoo, Abhinay, 2003. "Bargaining in a non-stationary environment," Journal of Economic Theory, Elsevier, vol. 109(1), pages 70-89, March.
  2. Eyal Winter & Oscar Volij & Nir Dagan, 2002. "A characterization of the Nash bargaining solution," Social Choice and Welfare, Springer, vol. 19(4), pages 811-823.
  3. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  4. Fershtman Chaim & Seidmann Daniel J., 1993. "Deadline Effects and Inefficient Delay in Bargaining with Endogenous Commitment," Journal of Economic Theory, Elsevier, vol. 60(2), pages 306-321, August.
  5. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  6. Roth, Alvin E & Murnighan, J Keith & Schoumaker, Francoise, 1988. "The Deadline Effect in Bargaining: Some Experimental Evidence," American Economic Review, American Economic Association, vol. 78(4), pages 806-23, September.
  7. Ma, Ching-To Albert & Manove, Michael, 1993. "Bargaining with Deadlines and Imperfect Player Control," Econometrica, Econometric Society, vol. 61(6), pages 1313-39, November.
  8. Salonen, Hannu, 1988. "Decomposable solutions for N -- person bargaining games," European Journal of Political Economy, Elsevier, vol. 4(3), pages 333-347.
  9. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  10. Damme, E.E.C. van & Peters, H., 1991. "Characterizing the Nash and Raiffa bargaining solutions by disagreement point axioms," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154419, Tilburg University.
  11. Melvyn Cole & Randall Wright, . "A Dynamic Equilibrium Model of Search, Bargaining, and Money," CARESS Working Papres 97-9, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  12. Chae, Suchan, 1993. "The n-person Nash bargaining solution with time preference," Economics Letters, Elsevier, vol. 41(1), pages 21-24.
  13. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-64, November.
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