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

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Lahiri, Somdeb

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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.

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File URL: http://mpra.ub.uni-muenchen.de/8444/
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File URL: http://mpra.ub.uni-muenchen.de/8498/
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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 8444.

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Date of creation: 25 Apr 2008
Date of revision: 28 Apr 2008
Handle: RePEc:pra:mprapa:8444

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Find related papers by 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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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. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation, Yale University. [Downloadable!]
  2. Gul, F. & Stacchetti, E., 1997. "Walrasian Equilibrium Without Complementarities," Papers 97-03, Michigan - Center for Research on Economic & Social Theory.
  3. Carmen BeviÂ, 1998. "Fair allocation in a general model with indivisible goods," Review of Economic Design, Springer, vol. 3(3), pages 195-213. [Downloadable!] (restricted)
  4. Laffont, J. J. & Moulin, H., 1982. "Introduction," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 1-3, June. [Downloadable!] (restricted)
  5. 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)
  6. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December. [Downloadable!] (restricted)
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This page was last updated on 2008-11-18.


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