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Geometry And Computation Of The Lorenz Set

Author

Listed:
  • JAVIER ARIN

    (Departamento de Fundamentos del Análisis Económico, Basque Country University, Spain)

  • JEROEN KUIPERS

    (Department of Mathematics, University Maastricht, The Netherlands)

  • DRIES VERMEULEN

    (Department of Quantitative Economics, University Maastricht, The Netherlands)

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.

Suggested Citation

  • Javier Arin & Jeroen Kuipers & Dries Vermeulen, 2004. "Geometry And Computation Of The Lorenz Set," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(02), pages 223-238.
    • Handle: RePEc:wsi:igtrxx:v:06:y:2004:i:02:n:s0219198904000162
    DOI: 10.1142/S0219198904000162
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    References listed on IDEAS

    as
    1. Arin, J. & Inarra, E., 1997. "Consistency and Egalitarianism: The Egalitarian Set," ASSET - Instituto De Economia Publica 163, ASSET (Association of Southern European Economic Theorists).
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    More about this item

    Keywords

    Game theory; linear programming;

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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