On finding an envy-free Pareto-optimal division

This paper describes an algorithm to find an ((alpha))envy-free Pareto-optimal division in the case of a finite number of homogeneous infinitely divisible goods and linear utility functions. It is used to find an allocation in the classical cake division problem that is almost Pareto-optimal and (al...

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Hauptverfasser: Reijnierse, J. H, Potters, J. A. M
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper describes an algorithm to find an ((alpha))envy-free Pareto-optimal division in the case of a finite number of homogeneous infinitely divisible goods and linear utility functions. It is used to find an allocation in the classical cake division problem that is almost Pareto-optimal and (alpha)-envy-free..