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

  • Carmen Herrero

    ()

  • Ricardo Martínez

    ()

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://hdl.handle.net/10.1007/s11750-008-0043-6
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Article provided by Springer in its journal TOP.

Volume (Year): 16 (2008)
Issue (Month): 2 (December)
Pages: 272-283

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Handle: RePEc:spr:topjnl:v:16:y:2008:i:2:p:272-283
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  1. 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).
  2. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer, vol. 15(4), pages 257-291, December.
  3. Youngsub Chun, 1999. "Equivalence of axioms for bankruptcy problems," International Journal of Game Theory, Springer, vol. 28(4), pages 511-520.
  4. Carmen Herrero & Ricardo Martínez, 2008. "Balanced allocation methods for claims problems with indivisibilities," Social Choice and Welfare, Springer, vol. 30(4), pages 603-617, May.
  5. Moulin, Herve & Stong, Richard, 2001. "Fair Queuing and Other Probabilistic Allocation Methods," Working Papers 2000-09, Rice University, 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. 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.
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