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Finite Horizon Bargaining With Outside Options And Threat Points

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  • Randolph Sloof

Abstract

We characterize equilibrium behavior in a finite horizon multiple-pie alternating offer bargaining game in which both agents have outside options and threat points. In contrast to the infinite horizon case the strength of the threat to delay agreement is non-stationary and decreases over time. Typically the delay threat determines equilibrium proposals in early periods, while the threat to opt out characterizes those in later ones. Owing to this non-stationarity both threats may appear in the equilibrium shares immediately agreed upon in the first period. When the threat to opt out is empty for both agents, the outcome corresponds exactly with the (generalized) Nash bargaining solution. The latter observation may prove useful for designing experiments that are meant to test economic models that include a bargaining stage. Copyright Springer 2005

Suggested Citation

  • Randolph Sloof, 2005. "Finite Horizon Bargaining With Outside Options And Threat Points," Theory and Decision, Springer, vol. 57(2), pages 109-142, March.
  • Handle: RePEc:kap:theord:v:57:y:2005:i:2:p:109-142
    DOI: 10.1007/s11238-004-4319-5
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    1. Chiu, Y. Stephen & Rachel Yang, B., 1999. "The outside option, threat point, and Nash bargaining solution," Economics Letters, Elsevier, vol. 62(2), pages 181-188, February.
    2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. Van Damme, Eric & Selten, Reinhard & Winter, Eyal, 1990. "Alternating bid bargaining with a smallest money unit," Games and Economic Behavior, Elsevier, vol. 2(2), pages 188-201, June.
    4. Jehiel, Philippe & Moldovanu, Benny, 1995. "Negative Externalities May Cause Delay in Negotiation," Econometrica, Econometric Society, vol. 63(6), pages 1321-1335, November.
    5. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    6. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475, October.
    7. Avner Shaked, 1994. "Opting out: bazaars versus "hi tech" markets," Investigaciones Economicas, Fundación SEPI, vol. 18(3), pages 421-432, September.
    8. Ma, Ching-To Albert & Manove, Michael, 1993. "Bargaining with Deadlines and Imperfect Player Control," Econometrica, Econometric Society, vol. 61(6), pages 1313-1339, November.
    9. Harrington, Joseph Jr., 1986. "A non-cooperative bargaining game with risk averse players and an uncertain finite horizon," Economics Letters, Elsevier, vol. 20(1), pages 9-13.
    10. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    11. Weg, Eythan & Rapoport, Amnon & Felsenthal, Dan S., 1990. "Two-person bargaining behavior in fixed discounting factors games with infinite horizon," Games and Economic Behavior, Elsevier, vol. 2(1), pages 76-95, March.
    12. W. Bentley MacLeod & James M. Malcomson, 1995. "Contract Bargaining with Symmetric Information," Canadian Journal of Economics, Canadian Economics Association, vol. 28(2), pages 336-367, May.
    13. Ponsati, Clara, 1995. "The deadline effect: A theoretical note," Economics Letters, Elsevier, vol. 48(3-4), pages 281-285, June.
    14. Dalmazzo, Alberto, 1992. "Outside options in a bargaining model with decay in the size of the cake," Economics Letters, Elsevier, vol. 40(4), pages 417-421, December.
    15. Hackett, Steven C, 1994. "Is Relational Exchange Possible in the Absence of Reputations and Repeated Contact?," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 10(2), pages 360-389, October.
    16. Hessel Oosterbeek & Joep Sonnemans & Susan van Velzen, 2003. "The need for marriage contracts: An experimental study," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(3), pages 431-453, August.
    17. Guth, Werner & Ockenfels, Peter & Ritzberger, Klaus, 1995. "On durable goods monopolies an experimental study of intrapersonal price competition and price discrimination over time," Journal of Economic Psychology, Elsevier, vol. 16(2), pages 247-274, July.
    18. Oliver Hart, 1989. "Bargaining and Strikes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 25-43.
    19. Sonnemans, Joep & Oosterbeek, Hessel & Sloof, Randolp, 2001. "On the Relation between Asset Ownership and Specific Investments," Economic Journal, Royal Economic Society, vol. 111(474), pages 791-820, October.
    20. Sloof, Randolph & Sonnemans, Joep & Oosterbeek, Hessel, 2004. "Specific investments, holdup, and the outside option principle," European Economic Review, Elsevier, vol. 48(6), pages 1399-1410, December.
    21. Espen R. Moen, 1998. "Efficient Ways to Finance Human Capital Investments," Economica, London School of Economics and Political Science, vol. 65(260), pages 491-505, November.
    22. repec:cep:stitep:/1992/239 is not listed on IDEAS
    23. Coles, Melvyn G. & Muthoo, Abhinay, 2003. "Bargaining in a non-stationary environment," Journal of Economic Theory, Elsevier, vol. 109(1), pages 70-89, March.
    24. Binmore, Ken & Morgan, Peter & Snaked, Avner & Sutton, John, 1991. "Do people exploit their bargaining power? An experimental study," Games and Economic Behavior, Elsevier, vol. 3(3), pages 295-322, August.
    25. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    26. Alberto Dalmazzo, 1992. "Outside Options in a Bargaining Model with Decay in the Size of the Cake (Now published in Economics Letters 40 (1992), pp.417-421.)," STICERD - Theoretical Economics Paper Series 239, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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    2. Sloof, Randolph & Sonnemans, Joep & Oosterbeek, Hessel, 2004. "Specific investments, holdup, and the outside option principle," European Economic Review, Elsevier, vol. 48(6), pages 1399-1410, December.
    3. Thomas Ehrmann & Karl-Hans Hartwig & Torsten Marner & Hendrik Schmale, 2009. "Specific Investments and Ownership Structures in Railways – An Experimental Analysis," Working Papers 12, Institute of Transport Economics, University of Muenster.

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