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- Single-Peaked Preferences With Several Commodities

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Author Info
Pablo Amorós (Universidad de Alicante)

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Abstract

We consider the problem of allocating m(m>=2) infinitely divisible commodities among agents with single-peaked preferences. In the two-agents case any strategy-proof and efficient solution is dictatorial. First, we propose a solution that, in the two-agents case, is the only one that satisfies strategy-proofness, no-envy and a weak requirement related to efficiency. Moreover, it is implementable in dominant strategies and satisfies consistency properties. Second, we propose an extension of the Mas-Colells Walrasian equilibrium with slack to characterize the efficient allocations.This new solution allow us to associate with each efficient allocation an income redistribution necessary to obtain it. We prove that the original solution proposed by Mas-Colell is the efficient selection which requires an income redistribution with smallest range, and that it satisfies consistency properties.

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Publisher Info
Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1998-23.

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Length: 38 pages
Date of creation: Oct 1998
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Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1998-23

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Keywords: consistency single-peaked preferences strategy-proofness

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References listed on IDEAS
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  1. Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August. [Downloadable!] (restricted)
  2. Satterthwaite, Mark A & Sonnenschein, Hugo, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Blackwell Publishing, vol. 48(4), pages 587-97, October. [Downloadable!] (restricted)
  3. James Schummer, 1996. "Strategy-proofness versus efficiency on restricted domains of exchange economies," Social Choice and Welfare, Springer, vol. 14(1), pages 47-56. [Downloadable!] (restricted)
  4. Thomson, William, 1995. "Population-Monotonic Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Economic Theory, Springer, vol. 5(2), pages 229-46, March.
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  5. Dagan, Nir, 1996. "A Note on Thomson's Characterizations of the Uniform Rule," Journal of Economic Theory, Elsevier, vol. 69(1), pages 255-261, April. [Downloadable!] (restricted)
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  6. Lin Zhou, 1990. "Inefficiency of Strategy-Proof Allocation Mechanisms in Pure Exchange Economies," Cowles Foundation Discussion Papers 954, Cowles Foundation, Yale University. [Downloadable!]
  7. Thomson, W., 1991. "Resource-Monotonic Solutions to the Problem of Fair Divosion when Preferences are Single-Peaked ," RCER Working Papers 301, University of Rochester - Center for Economic Research (RCER).
  8. Masso, J. & Barbera, S., 1996. "Strategy-Proof Voting on Compact Ranges," ASSET - Instituto De Economia Publica 156, ASSET (Association of Southern European Economic Theorists).
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  9. Schummer, James & Thomson, William, 1997. "Two derivations of the uniform rule and an application to bankruptcy," Economics Letters, Elsevier, vol. 55(3), pages 333-337, September. [Downloadable!] (restricted)
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  10. Salvador Barbera, 1995. "Strategy-Proof Allotment Rules," Discussion Papers 1142, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  11. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 1997. "Voting under Constraints," Journal of Economic Theory, Elsevier, vol. 76(2), pages 298-321, October. [Downloadable!] (restricted)
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  12. Barbera, S. & Gul, F. & Stacchetti, E., 1992. "Generalized Median Voter Schemes and Committees," UFAE and IAE Working Papers 184.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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  13. Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September. [Downloadable!] (restricted)
  14. Zhou, Lin, 1991. "Impossibility of Strategy-Proof Mechanisms in Economies with Pure Public Goods," Review of Economic Studies, Blackwell Publishing, vol. 58(1), pages 107-19, January. [Downloadable!] (restricted)
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