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Social orderings for the assignment of indivisible objects

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  • Maniquet, François

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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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 143 (2008)
Issue (Month): 1 (November)
Pages: 199-215

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Handle: RePEc:eee:jetheo:v:143:y:2008:i:1:p:199-215

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Web page: http://www.elsevier.com/locate/inca/622869

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Keywords: Indivisible good Social ordering function Leximin;

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References

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  1. Marc Fleurbaey & Francois Maniquet, 2002. "Fair Income Tax," Economics Working Papers 0021, Institute for Advanced Study, School of Social Science.
  2. Marc Fleurbaey & Fran�Ois Maniquet, 2007. "Help the Low Skilled or Let the Hardworking Thrive? A Study of Fairness in Optimal Income Taxation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(3), pages 467-500, 06.
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  7. 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.
  8. 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.
  9. 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.
  10. d'Aspremont, Claude & Gevers, Louis, 2002. "Social welfare functionals and interpersonal comparability," 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 1, chapter 10, pages 459-541 Elsevier.
  11. FLEURBAEY, Marc & MANIQUET, François, . "Fair social orderings," CORE Discussion Papers RP -1995, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. 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.
  13. 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.
  14. LeBreton, M., 1994. "Arrovian Social Choice on Economic Domains," G.R.E.Q.A.M. 94a37, Universite Aix-Marseille III.
  15. 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.
  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.
  17. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
  18. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
  19. 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.
  20. Alkan, Ahmet, 1994. "Monotonicity and Envyfree Assignments," Economic Theory, Springer, vol. 4(4), pages 605-16, May.
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Citations

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Cited by:
  1. Maniquet, Francois & Sprumont, Yves, 2005. "Welfare egalitarianism in non-rival environments," Journal of Economic Theory, Elsevier, vol. 120(2), pages 155-174, February.
  2. Fleurbaey, Marc, 2007. "Two criteria for social decisions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 421-447, May.
  3. Medernach, Emmanuel & Sanlaville, Eric, 2012. "Fair resource allocation for different scenarios of demands," European Journal of Operational Research, Elsevier, vol. 218(2), pages 339-350.

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