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The Kalai-Smorodinsky Bargaining Solution Manipulated by Pre-Donations is Concessionary

Author

Listed:
  • S. Nuray Akin

    (Department of Economics, University of Miami)

  • Murat R. Sertel

    (Department of Economics, Bogazici University and Bilkent University, Turkey)

Abstract

This study examines the manipulability of simple n-person bargaining problems by pre-donations where the Kalai-Smorodinsky solution is operant. We extend previous results on the manipulation of two-person bargaining problems to the n-person case and show that in a world where a prebargaining stage is instituted in which the bargainers may unilaterally alter the bargaining problem, bargainers with greater ideal payoffs transform the bargaining set into one on which the Kalai- Smorodinsky solution distributes payoffs in accordance with the Concessionary division rule of disputed property.

Suggested Citation

  • S. Nuray Akin & Murat R. Sertel, 2007. "The Kalai-Smorodinsky Bargaining Solution Manipulated by Pre-Donations is Concessionary," Working Papers 0718, University of Miami, Department of Economics.
    • Handle: RePEc:mia:wpaper:0718
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    File URL: https://www.herbert.miami.edu/_assets/files/repec/wp-0718.pdf
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    References listed on IDEAS

    as
    1. Sertel, Murat R. & Ozkal-Sanver, Ipek, 2002. "Manipulability of the men- (women-) optimal matching rule via endowments," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 65-83, September.
    2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    3. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    4. Sertel, Murat R., 1992. "The Nash bargaining solution manipulated by pre-donations is Talmudic," Economics Letters, Elsevier, vol. 40(1), pages 45-55, September.
    5. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    6. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284, Elsevier.
    7. Sertel, Murat R., 1994. "Manipulating Lindahl equilibrium via endowments," Economics Letters, Elsevier, vol. 46(2), pages 167-171, October.
    8. Ehud Kalai, 1983. "Solutions to the Bargaining Problem," Discussion Papers 556, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
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    1. Sertel, Murat R. & Ozkal-Sanver, Ipek, 2002. "Manipulability of the men- (women-) optimal matching rule via endowments," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 65-83, September.

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    More about this item

    Keywords

    Bargaining Solutions; Pre-donation; Kalai-Smorodinsky;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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