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Envy-free allocations of indivisible objects : an algorithm and an application

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Author Info
Klijn, F. (Tilburg University, Faculty of Economics and Business Administration)

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Abstract

This paper studies envy-free allocations for economies with indivisible objects, quasi-linear utility functions, and an amount of money. We give a polynomially bounded algorithm for finding envy-free allocations. Connectedness of envy-graphs, which are used in the algorithm, characterizes the extreme points of the polytopes of sidepayments corresponding with envy-free allocations. As an application, the existence result of envy-free allocations provides a proof of the total balancedness of permutation games.

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Publisher Info
Paper provided by Tilburg University, Faculty of Economics and Business Administration in its series Research Memorandum with number 751.

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Date of creation: 1997
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Handle: RePEc:dgr:kubrem:1997751

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Find related papers by JEL classification:
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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  1. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September. [Downloadable!] (restricted)
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  2. 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)
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