GEOMETRY AND COMPUTATION OF THE LORENZ SET

Javier Arin, Jeroen Kuipers and Dries Vermeulen
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Javier Arin: Departamento de Fundamentos del Análisis Económico, Basque Country University, Spain
Jeroen Kuipers: Department of Mathematics, University Maastricht, The Netherlands

International Game Theory Review (IGTR), 2004, vol. 06, issue 02, 223-238

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.

Keywords: Game theory; linear programming (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0219198904000162

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