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An Extension Of Leitmann'S Direct Method To Inequality Constraints

Author

Listed:
  • PIERRE CARTIGNY

    (INRA Montpellier and GREQAM, Centre de la Vieille Charité, 2 rue de la Charité, 13002 Marseille, France)

  • CHRISTOPHE DEISSENBERG

    (GREQAM and Department of Economics, Universitéde la Méditerranée, Château La Farge, Route des Milles, 13290 Les Milles, France)

Abstract

George Leitmann's direct method permits to find the global minimum of a variational problem by use of a change of variables. In this article, we extend this method to a class of scalar, inequality constrained problems. An application example is given.

Suggested Citation

  • Pierre Cartigny & Christophe Deissenberg, 2004. "An Extension Of Leitmann'S Direct Method To Inequality Constraints," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 15-20.
    • Handle: RePEc:wsi:igtrxx:v:06:y:2004:i:01:n:s0219198904000046
    DOI: 10.1142/S0219198904000046
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    Cited by:

    1. D. F. M. Torres & G. Leitmann, 2008. "Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 53-59, April.

    More about this item

    Keywords

    Calculus of variations; global optimum; change of variables; inequality constraints;
    All these keywords.

    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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