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Social orderings for the assignment of indivisible objects

  • Maniquet, François

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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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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  1. 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.
  2. Marc Fleurbaey, 2005. "The Pazner-Schmeidler social ordering: A defense," Review of Economic Design, Springer, vol. 9(2), pages 145-166, 04.
  3. Elisha A. Pazner & David Schmeidler, 1975. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," Discussion Papers 174, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
  5. 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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  8. M. Fleurbaey & F. Maniquet, 2008. "Fair social orderings," Economic Theory, Springer, vol. 34(1), pages 25-45, January.
  9. 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.
  10. Moulin, H & Thomson, W, 1995. "Axiomatic Analysis of Resource Allocation," RCER Working Papers 400, University of Rochester - Center for Economic Research (RCER).
  11. 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.
  12. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-67, November.
  13. 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.
  14. Alkan, Ahmet, 1994. "Monotonicity and Envyfree Assignments," Economic Theory, Springer, vol. 4(4), pages 605-16, May.
  15. LeBreton, M., 1994. "Arrovian Social Choice on Economic Domains," G.R.E.Q.A.M. 94a37, Universite Aix-Marseille III.
  16. Marc Fleurbaey & Francois Maniquet, 2002. "Fair Income Tax," Economics Working Papers 0021, Institute for Advanced Study, School of Social Science.
  17. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
  18. 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.
  19. 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.
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