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Dynamical-System Approach to Solving Linear Programming Problems and Applications in Economic Modeling

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Nonlinear Oscillations

Abstract

A class of dynamical systems on symplectic manifolds solving linear programming problems is described. The structure of an orbit space is analyzed within the framework of the Marsden–Weinstein reduction scheme. Some examples having applications in modern macroeconomic modeling are studied in detail.

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Authors and Affiliations

  1. I. Franko National University, Lviv, Ukraine

    I. P. Tverdokhlib

  2. University of Köln, Germany

    O. A. Prykarpats'kyi

Authors
  1. I. P. Tverdokhlib
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  2. O. A. Prykarpats'kyi
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Tverdokhlib, I.P., Prykarpats'kyi, O.A. Dynamical-System Approach to Solving Linear Programming Problems and Applications in Economic Modeling. Nonlinear Oscillations 5, 108–113 (2002). https://doi.org/10.1023/A:1014665230049

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  • DOI: https://doi.org/10.1023/A:1014665230049

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