Chaotic Solutions in Dynamic Linear Programming

Kazuo Nishimura and Mokoto Yano ()
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Mokoto Yano: Kyoto University

Chapter Chapter 7 in Nonlinear Dynamics in Equilibrium Models, 2012, pp 151-164 from Springer

Abstract: Abstract Chaotic phenomena have been observed in various fields of sciences. We are concerned with linear programming (LP) and demonstrate that chaos may emerge as a solution to a dynamic LP problem. For this purpose, we work with an infinite time-horizon problem, for chaos appears in a dynamical system with no terminal date. As a result, it is not straightforward to find a solution, which cannot be derived from a simple repetition of arithmetics. In the finite time-horizon case, in contrast, a solution can be, at least in theory, obtained by such a method; the simplex method is one such procedure, repeating computations systematically.

Keywords: Linear Programming Problem; Chaotic Dynamical System; Chaotic Solution; Cyclical Path; Optimal Dynamical System (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-22397-6_7

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DOI: 10.1007/978-3-642-22397-6_7

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