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Social Orderings for the Assignment of Indivisible Objects

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Author Info
Francois Maniquet () (Department of Economics, Universite catholique de Louvain)

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Abstract

In the assignment problem of indivisible objects with money, we study social ordering functions which satisfy the requirement that social orderings should be independent of changes in preferences over infeasible bundles. We combine this axiom with efficiency, consistency and equity axioms. Our result is that the only social ordering function satisfying those axioms is the leximin function in money utility.

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Publisher Info
Paper provided by Institute for Advanced Study, School of Social Science in its series Economics Working Papers with number 0015.

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Length: 24 pages
Date of creation: Apr 2002
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Handle: RePEc:ads:wpaper:0015

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Related research
Keywords: Indivisible Good; Social Ordering Function; Leximin;

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Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Le Breton, Michel & Weymark, John, 2002. "Arrovian Social Choice Theory on Economic Domains," IDEI Working Papers 143, Institut d'Économie Industrielle (IDEI), Toulouse, revised Sep 2003. [Downloadable!]
    Other versions:
  2. Moulin, H & Thomson, W, 1995. "Axiomatic Analysis of Resource Allocation," RCER Working Papers 400, University of Rochester - Center for Economic Research (RCER).
  3. dÕASPREMONT, Claude & GEVERS, Louis, 2001. "Social welfare functionals and interpersonal comparability," CORE Discussion Papers 2001040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  4. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-54, July. [Downloadable!] (restricted)
  5. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
  6. M. Fleurbaey & F. Maniquet, 2000. "Fair Social Orderings With Unequal Production Skills," THEMA Working Papers 2000-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
  7. Pazner, Elisha A & Schmeidler, David, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, MIT Press, vol. 92(4), pages 671-87, November. [Downloadable!] (restricted)
    Other versions:
  8. M. Fleurbaey & A. Trannoy, 2000. "The Impossibility of a Paretian Egalitarian," THEMA Working Papers 2000-26, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
    Other versions:
  9. Fleurbaey,M., 2001. "The Pazner-Schmeidler social ordering : a defense," Working Papers 328, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
  10. Alkan, Ahmet, 1994. "Monotonicity and Envyfree Assignments," Economic Theory, Springer, vol. 4(4), pages 605-16, May.
  11. M. Fleurbaey & F. Maniquet, 2008. "Fair social orderings," Economic Theory, Springer, vol. 34(1), pages 25-45, January. [Downloadable!] (restricted)
  12. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July. [Downloadable!] (restricted)
  13. Carmen Bevia, 1996. "Identical preferences lower bound solution and consistency in economies with indivisible goods," Social Choice and Welfare, Springer, vol. 13(1), pages 113-126, January. [Downloadable!] (restricted)
  14. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-39, July. [Downloadable!] (restricted)
  15. Thomson, William, 1990. "On the non existence of envy-free and egalitarian-equivalent allocations in economies with indivisibilities," Economics Letters, Elsevier, vol. 34(3), pages 227-229, November. [Downloadable!] (restricted)
  16. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-67, November. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Francois Maniquet & Yves Sprumont, 2002. "Welfare Egalitarianism in Non-Rival Environments," Economics Working Papers 0016, Institute for Advanced Study, School of Social Science. [Downloadable!]
    Other versions:
  2. Marc Fleurbaey, 2004. "Two Criteria for Social Decisions," Economics Papers 2004-W27, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
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