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Social Orderings for the Assignment of Indivisible Objects

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  • Francois Maniquet

    (Department of Economics, Universite catholique de Louvain)

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.

Suggested Citation

  • Francois Maniquet, 2002. "Social Orderings for the Assignment of Indivisible Objects," Economics Working Papers 0015, Institute for Advanced Study, School of Social Science.
    • Handle: RePEc:ads:wpaper:0015
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    1. Hervé Moulin & William Thomson, 1997. "Axiomatic Analysis of Resource Allocation Problems," International Economic Association Series, in: Kenneth J. Arrow & Amartya Sen & Kotaro Suzumura (ed.), Social Choice Re-examined, chapter 5, pages 101-120, Palgrave Macmillan.
    2. Eric S. Maskin, 1987. "On the Fair Allocation of Indivisible Goods," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Arrow and the Foundations of the Theory of Economic Policy, chapter 11, pages 341-349, Palgrave Macmillan.
    3. Marc Fleurbaey & François Maniquet, 2006. "Fair Income Tax," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 55-83.
    4. 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.
    5. LeBreton, M., 1994. "Arrovian Social Choice on Economic Domains," G.R.E.Q.A.M. 94a37, Universite Aix-Marseille III.
    6. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-1767, November.
    7. M. Fleurbaey & F. Maniquet, 2008. "Fair social orderings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 25-45, January.
    8. Elisha A. Pazner & David Schmeidler, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(4), pages 671-687.
    9. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-954, July.
    10. Marc Fleurbaey, 2005. "The Pazner-Schmeidler social ordering: A defense," Review of Economic Design, Springer;Society for Economic Design, vol. 9(2), pages 145-166, April.
    11. Hammond, Peter J, 1976. "Equity, Arrow's Conditions, and Rawls' Difference Principle," Econometrica, Econometric Society, vol. 44(4), pages 793-804, July.
    12. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-1039, July.
    13. Carmen Bevia, 1996. "Identical preferences lower bound solution and consistency in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 113-126, January.
    14. 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.
    15. Marc Fleurbaey & Alain Trannoy, 2003. "The impossibility of a Paretian egalitarian," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 243-263, October.
    16. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    17. Moulin, H & Thomson, W, 1995. "Axiomatic Analysis of Resource Allocation," RCER Working Papers 400, University of Rochester - Center for Economic Research (RCER).
    18. 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.
    19. Marc Fleurbaey & François 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, June.
    20. William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
    21. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
    22. Alkan, Ahmet, 1994. "Monotonicity and Envyfree Assignments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(4), pages 605-616, May.
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    Cited by:

    1. Rafael Treibich, 2019. "Welfare egalitarianism with other-regarding preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(1), pages 1-28, January.
    2. Maniquet, Francois & Sprumont, Yves, 2005. "Welfare egalitarianism in non-rival environments," Journal of Economic Theory, Elsevier, vol. 120(2), pages 155-174, February.
    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.
    4. Fleurbaey, Marc, 2007. "Two criteria for social decisions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 421-447, May.

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    More about this item

    Keywords

    Indivisible Good; Social Ordering Function; Leximin;
    All these keywords.

    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

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