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Even Allocations For Generalised Rationing Problems

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Author Info
Marco Mariotti (Royal Holloway)
Abstract

We study an extension of the standard rationing problem, consisting of the allocation of utility losses. We assume neither linearly transferable utilities nor risk averse agents. As a consequence, the utility possibility sets need not be convex or smooth. This problem is referred to as the generalised rationing problem. We introduce the notion of even allocations as a solution concept that extends the random arrival rule to this general scenario. Moreover, we show that, when the feasible set is convex, this solution can be characterised by a suitable reformulation of the axioms that define the Nash bargaining solution.

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Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2003-10.

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Length: 19 pages
Date of creation: Mar 2003
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Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2003-10

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Keywords: Rationing Problems Non-Transferable Utilities Nash Bargaining Solution Clarke Cones.

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  4. Chun, Youngsub & Thomson, William, 1992. "Bargaining problems with claims," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 19-33, August. [Downloadable!] (restricted)
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  5. Lin Zhou, 1997. "The Nash Bargaining Theory with Non-Convex Problems," Econometrica, Econometric Society, vol. 65(3), pages 681-686, May.
  6. Carmen Herrero, 1997. "Endogenous reference points and the adjusted proportional solution for bargaining problems with claims," Social Choice and Welfare, Springer, vol. 15(1), pages 113-119. [Downloadable!] (restricted)
  7. Dagan, Nir & Volij, Oscar, 1993. "The bankruptcy problem: a cooperative bargaining approach," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 287-297, November. [Downloadable!] (restricted)
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  8. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
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  11. Herrero, Carmen & Maschler, Michael & Villar, Antonio, 1999. "Individual rights and collective responsibility: the rights-egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 59-77, January. [Downloadable!] (restricted)
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  12. Roth, Alvin E., 1977. "Independence of irrelevant alternatives, and solutions to Nash's bargaining problem," Journal of Economic Theory, Elsevier, vol. 16(2), pages 247-251, December. [Downloadable!] (restricted)
  13. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357 Elsevier. [Downloadable!] (restricted)
  14. Thomson, William, 1981. "A class of solutions to bargaining problems," Journal of Economic Theory, Elsevier, vol. 25(3), pages 431-441, December. [Downloadable!] (restricted)
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