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Up methods in the allocation of indivisibilities when preferences are single-peaked

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Author Info

  • Carmen Herrero

    ()
    (Department of Economics, Universidad de Alicante)

  • Ricardo Martinez

    ()
    (Department of Economics, Universidad de Alicante & Department of Economics, Universidad Pablo de Olavide)

Abstract

We consider allocation problems with indivisible goods when agents' preferences are single-peaked. We propose natural rules (called up methods) to solve such a class of problems. We analyzed the properties those methods satisfy and we provide a characterization of them. We also prove that these methods can be interpreted as extensions to the indivisible case of the so-called equal-distance rule.

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File URL: http://www.upo.es/serv/bib/wps/econ0630.pdf
File Function: First version, 2006
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Bibliographic Info

Paper provided by Universidad Pablo de Olavide, Department of Economics in its series Working Papers with number 06.30.

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Length: 12 pages
Date of creation: Nov 2006
Date of revision:
Handle: RePEc:pab:wpaper:06.30

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Related research

Keywords: Allocation problem; indivisibilities; single-peaked preferences; standard of comparison; up method.;

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References

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  1. Carmen Herrero & Antonio Villar, 2002. "Sustainability in bankruptcy problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 10(2), pages 261-273, December.
  2. HERRERO, Carmen & MARTINEZ, Ricardo, 2006. "Balanced allocation methods for claims problems with indivisibilities," CORE Discussion Papers 2006066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Moulin, Herve & Stong, Richard, 2001. "Fair Queuing and Other Probabilistic Allocation Methods," Working Papers 2000-09, Rice University, Department of Economics.
  4. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer, vol. 15(4), pages 257-291, December.
  5. 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.
  6. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
  7. Youngsub Chun, 1999. "Equivalence of Axioms for Bankruptcy Problems," Working Paper Series no1, Institute of Economic Research, Seoul National University.
  8. Youngsub Chun, 1999. "Equivalence of axioms for bankruptcy problems," International Journal of Game Theory, Springer, vol. 28(4), pages 511-520.
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Cited by:
  1. Susana Díaz & Bernard Baets & Susana Montes, 2011. "On the Ferrers property of valued interval orders," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 19(2), pages 421-447, December.

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