General allocation problems with single-peaked preferences: path-independence and related topics
AbstractWe 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 InfoArticle provided by Springer in its journal Spanish Economic Review.
Volume (Year): 4 (2002)
Issue (Month): 1 ()
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- Carmen Herrero & Ricardo Martinez, 2006.
"Allocation problems with indivisibilities when preferences are single-peaked,"
06.29, Universidad Pablo de Olavide, Department of Economics.
- Carmen Herrero & Ricardo Martínez, 2011. "Allocation problems with indivisibilities when preferences are single-peaked," SERIEs, Spanish Economic Association, vol. 2(4), pages 453-467, December.
- Carmen Herrero Blanco & Ricardo Martínez, 2006. "Allocation Problems With Indivisibilities When Preferences Are Single-Peaked," Working Papers. Serie AD 2006-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- 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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