Geometry and computation of the Lorenz set

A.J. Vermeulen; J. Arin; J. Kuipers

doi:10.1142/S0219198904000162

Geometry and computation of the Lorenz set

A.J. Vermeulen
, J. Arin
, J. Kuipers

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

In this paper we study the geometrical properties of the set of Lorenz allocations of a transferable utility game. We provide procedures to compute a single Lorenz allocation, and even the entire set of Lorenz allocations, that rely solely on linear optimization techniques. These procedures only require a finite number of elementary operations and are therefore easy to implement.

Original language	English
Pages (from-to)	223-238
Journal	International Game Theory Review
Volume	6
DOIs	https://doi.org/10.1142/S0219198904000162
Publication status	Published - 1 Jan 2004

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title = "Geometry and computation of the Lorenz set",

abstract = "In this paper we study the geometrical properties of the set of Lorenz allocations of a transferable utility game. We provide procedures to compute a single Lorenz allocation, and even the entire set of Lorenz allocations, that rely solely on linear optimization techniques. These procedures only require a finite number of elementary operations and are therefore easy to implement.",

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AB - In this paper we study the geometrical properties of the set of Lorenz allocations of a transferable utility game. We provide procedures to compute a single Lorenz allocation, and even the entire set of Lorenz allocations, that rely solely on linear optimization techniques. These procedures only require a finite number of elementary operations and are therefore easy to implement.

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M3 - Article

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SP - 223

EP - 238

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Geometry and computation of the Lorenz set

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