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- Single-Peaked Preferences With Several Commodities

  • Pablo Amorós

    (Universidad de Alicante)

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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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1998-23.pdf
File Function: Fisrt version / Primera version, 1998
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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
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1998-23
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  1. Salvador Barbera, 1995. "Strategy-Proof Allotment Rules," Discussion Papers 1142, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Satterthwaite, Mark A & Sonnenschein, Hugo, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Wiley Blackwell, vol. 48(4), pages 587-97, October.
  3. Barbera, Salvador & Masso, Jordi & Neme, Alejandro, 1997. "Voting under Constraints," Journal of Economic Theory, Elsevier, vol. 76(2), pages 298-321, October.
  4. James Schummer, 1996. "Strategy-proofness versus efficiency on restricted domains of exchange economies," Social Choice and Welfare, Springer, vol. 14(1), pages 47-56.
  5. 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.
  6. Masso, J. & Barbera, S., 1996. "Strategy-Proof Voting on Compact Ranges," ASSET - Instituto De Economia Publica 156, ASSET (Association of Southern European Economic Theorists).
  7. Zhou, Lin, 1991. "Impossibility of Strategy-Proof Mechanisms in Economies with Pure Public Goods," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 107-19, January.
  8. 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).
  9. 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).
  10. Lin Zhou, 1990. "Inefficiency of Strategy-Proof Allocation Mechanisms in Pure Exchange Economies," Cowles Foundation Discussion Papers 954, Cowles Foundation for Research in Economics, Yale University.
  11. 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).
  12. 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.
  13. Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September.
  14. 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.
  15. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
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