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Bargaining with a Bureaucrat

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Author Info
Yair Tauman
Andriy Zapechelnyuk ()

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Abstract

We consider a bargaining problem where one of the players, the bureaucrat, has the power to dictate any outcome in a given set. The other players, the agents, negotiate with him which outcome to be dictated. In return, the agents transfer some part of their payoffs to the bureaucrat. We state five axioms and characterize the solutions which satisfy these axioms on a class of problems which includes as a subset all submodular bargaining problems. Every solution is characterized by a number a in the unit interval. Each agent in every bargaining problem obtains a weighted average of his individually rational level and his marginal contribution to the set of all players, where the weights are a and 1 - a, respectively. The bureaucrat obtains the remaing surplus. The solution when a = 1/2 is the nucleolus of a naturally related game in characteristic form.

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Paper provided by Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp425.

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Length: 31 pages
Date of creation: Jun 2006
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Handle: RePEc:huj:dispap:dp425

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  1. Kamien, Morton I & Tauman, Yair, 1986. "Fees versus Royalties and the Private Value of a Patent," The Quarterly Journal of Economics, MIT Press, vol. 101(3), pages 471-91, August. [Downloadable!] (restricted)
  2. Buch, Ishay & Tauman, Yair, 1992. "Bargaining with a Ruler," International Journal of Game Theory, Springer, vol. 21(2), pages 131-48.
  3. Kamien, Morton I. & Oren, Shmuel S. & Tauman, Yair, 1992. "Optimal licensing of cost-reducing innovation," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 483-508. [Downloadable!] (restricted)
  4. Vincent Feltkamp & Javier Arin, 1997. "The Nucleolus and Kernel of Veto-Rich Transferable Utility Games," International Journal of Game Theory, Springer, vol. 26(1), pages 61-73.
  5. Kamien, Morton I., 1992. "Patent licensing," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 11, pages 331-354 Elsevier. [Downloadable!] (restricted)
  6. Bernheim, B Douglas & Whinston, Michael D, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 1-31, February. [Downloadable!] (restricted)
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  1. Martimort, David & Semenov, Aggey, 2008. "The Informational Effects of Competition and Collusion in Legislative Politics," MPRA Paper 6989, University Library of Munich, Germany. [Downloadable!]
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