An algorithm for envy-free allocations in an economy with indivisible objects and money |
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Authors: | Flip Klijn |
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Institution: | (1) Department of Econometrics and CentER, Tilburg University, P.O. Box 90153, 5000LE Tilburg, The Netherlands (e-mail: f.klijn@kub.nl), NL |
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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.
Received: 22 October 1997/Accepted: 19 January 1999 |
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Keywords: | |
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