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Envy-free solutions, Non-linear equilibrium and Egalitarian-equivalence for the Package Assignment Problem

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  • Lahiri, Somdeb

Abstract

The first result in this paper says that given any efficient non-monetary allocation there is a balanced vector of transfers so that the resulting allocation is fair. The second result here says that given any efficient non-monetary allocation there is a pricing function defined on consumption bundles and a balanced vector of transfers so that they together form a non-linear market equilibrium. The first result is used to establish the second. Subsequently we prove the existence of egalitarian equivalent solutions for package assignment problems and shows that they satisfy the “fair share guaranteed” property.

Suggested Citation

  • Lahiri, Somdeb, 2008. "Envy-free solutions, Non-linear equilibrium and Egalitarian-equivalence for the Package Assignment Problem," MPRA Paper 8444, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:8444
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    File URL: https://mpra.ub.uni-muenchen.de/8498/1/MPRA_paper_8498.pdf
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    References listed on IDEAS

    as
    1. Carmen BeviÂ, 1998. "Fair allocation in a general model with indivisible goods," Review of Economic Design, Springer;Society for Economic Design, vol. 3(3), pages 195-213.
    2. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
    3. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    4. Elisha A. Pazner & David Schmeidler, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, Oxford University Press, vol. 92(4), pages 671-687.
    5. Gul, F. & Stacchetti, E., 1997. "Walrasian Equilibrium Without Complementarities," Papers 97-03, Michigan - Center for Research on Economic & Social Theory.
    6. 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.
    7. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
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    More about this item

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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