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An Extension of the Nash Bargaining Problem: Introducing Time-Related Bargaining Costs

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  • Zvi A. Livne

Abstract

The Nash Bargaining is reformulated by introducing time-related costs into the von Neumann-Morgenstern utility functions of the parties. A set of mathematical requirements on the solution is satisfied uniquely by a function called the Extended Raiffa Solution. The properties of this function are investigated. It is shown to coincide with the Nash Cooperative Solution (of a related Bargaining Problem) when the parties have identical discount rates. An interpretation of the solution and of the formal requirements is detailed. In this model the 'bargaining power' of the parties is determined by the bargaining costs related to the duration of the negotiations.

Suggested Citation

  • Zvi A. Livne, 1981. "An Extension of the Nash Bargaining Problem: Introducing Time-Related Bargaining Costs," Cowles Foundation Discussion Papers 550, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:550
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    References listed on IDEAS

    as
    1. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. Myerson, Roger B, 1977. "Two-Person Bargaining Problems and Comparable Utility," Econometrica, Econometric Society, vol. 45(7), pages 1631-1637, October.
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