Single-Peaked Preferences with Several Commodities

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Single-Peaked Preferences with Several Commodities

Author Info

Amoros, P.

Additional information is available for the following registered author(s):

Pablo Amoros

Abstract

We consider the problem of allocating m(m 22) infinitely divisible commodities among agentswith single-peaked preferences. In the two-agents case any strategy-proof and efficient solution isdictatorial. First, we propose a solution that, in the two-agents case, is the only one that satisfiesstrategy-proofness, no-envy and a weak requirement related to efficiency. Moreover, it isimplementable in dominant strategies and satisfies consistency properties. Second, we propose anextension of the Mas-Colell's Wairasian equilibrium with slack to characterize the efficient allocations.This new solution allow us to associate with each efficient allocation an income redistributionnecessary to obtain it. We prove that the original solution proposed by Mas-Colell is the efficientselection which requires an income redistribution with smallest range, and that it satisfies consistency properties.

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Paper provided by Valencia - Instituto de Investigaciones Economicas in its series Papers with number 98-23.

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Length: 44 pages
Date of creation: 1998
Date of revision:
Handle: RePEc:fth:valinv:98-23

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Keywords: GAME THEORY

Other versions of this item:

Article
- Pablo Amorós, 2002. "Single-peaked preferences with several commodities," Social Choice and Welfare, Springer, vol. 19(1), pages 57-67. [Downloadable!] (restricted)
Paper
- Pablo Amorós, 1998. "- Single-Peaked Preferences With Several Commodities," Working Papers. Serie AD 1998-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]

Find related papers by JEL classification:
C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

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)
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)
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)
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.
Other versions:
- Thomson, W., 1991. "Population-Monotonic Solutions to the Problem of Fair Division when Preferences are Single-Peaked," RCER Working Papers 302, University of Rochester - Center for Economic Research (RCER).
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)
Other versions:
- Nir Dagan, 1996. "A Note on Thomson's Characterizations of the Uniform Rule," Economic theory and game theory 003, Nir Dagan. [Downloadable!]
Lin Zhou, 1990. "Inefficiency of Strategy-Proof Allocation Mechanisms in Pure Exchange Economies," Cowles Foundation Discussion Papers 954, Cowles Foundation, Yale University. [Downloadable!]
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).
Masso, J. & Barbera, S., 1996. "Strategy-Proof Voting on Compact Ranges," ASSET - Instituto De Economia Publica 156, ASSET (Association of Southern European Economic Theorists).
Other versions:
- Barbera, S & Masso, J & Serizawa, S, 1996. "Strategy-Proof Voting on Compact Ranges," UFAE and IAE Working Papers 358.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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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)
Other versions:
- Schummer, J. & Thomson, W., 1996. "Two Derivations of the Uniform Rule and an Application to Bankruptcy," RCER Working Papers 423, University of Rochester - Center for Economic Research (RCER).
Salvador Barbera, 1995. "Strategy-Proof Allotment Rules," Discussion Papers 1142, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
Other versions:
- Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January. [Downloadable!] (restricted)
Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 1997. "Voting under Constraints," Journal of Economic Theory, Elsevier, vol. 76(2), pages 298-321, October. [Downloadable!] (restricted)
Other versions:
- Barbera, S. & Masso, J. & Neme, A., 1992. "Voting Under Constraints," UFAE and IAE Working Papers 200.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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).
Other versions:
- Barbera Salvador & Gul Faruk & Stacchetti Ennio, 1993. "Generalized Median Voter Schemes and Committees," Journal of Economic Theory, Elsevier, vol. 61(2), pages 262-289, December. [Downloadable!] (restricted)
Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September. [Downloadable!] (restricted)
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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