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General allocation problems with single-peaked preferences: path-independence and related topics

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  • Carmen Herrero

    ()
    (Departamento de Fundamentos del Análisis Económico, Universidad de Alicante, 03071 Alicante. Spain)

Abstract

We face the problem of allocationg a fixed amount of a perfectly divisible good among a group of agents with single-peaked preferences. We survey the three different cases studied in the literature: the pure distribution case, the redistribution case, and the gerneral case. The so called general case provide with a natural framework to analyze the idea of path-independence. In this framework, we explore the existence of rules fulfilling this property. Our first result is negative: a strong version of this property cannot be fulfilled together with efficiency. Nonetheless, some restricted versions of the path-independence property are compatible with interesting properties, in particular no manipulability, and no envy. We then identify two solutions satisfying this sort of property: the equal distance rule, and a new extension of the uniform rule.

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Bibliographic Info

Article provided by Springer in its journal Spanish Economic Review.

Volume (Year): 4 (2002)
Issue (Month): 1 ()
Pages: 19-40

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Handle: RePEc:spr:specre:v:4:y:2002:i:1:p:19-40

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Related research

Keywords: Single-peaked preferences; allocation rules; path-independence; strategy-proofness; no envy;

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Cited by:
  1. Carmen Herrero & Ricardo Martinez, 2006. "Allocation problems with indivisibilities when preferences are single-peaked," Working Papers 06.29, Universidad Pablo de Olavide, Department of Economics.
  2. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," 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 2, chapter 21, pages 393-506 Elsevier.

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