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

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Author Info
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.

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File URL: http://cowles.econ.yale.edu/P/cd/d05b/d0550.pdf
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 550.

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Length: 28 pages
Date of creation: Feb 1981
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Handle: RePEc:cwl:cwldpp:550

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  1. Myerson, Roger B, 1977. "Two-Person Bargaining Problems and Comparable Utility," Econometrica, Econometric Society, vol. 45(7), pages 1631-37, October. [Downloadable!] (restricted)
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  2. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  3. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May. [Downloadable!] (restricted)
  4. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-30, October. [Downloadable!] (restricted)
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