Discrete Dispersive Dynamical Systems

Alexander Zaslavski ()
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Alexander Zaslavski: Technion-Israel Institute of Technol

Chapter Chapter 8 in Turnpike Phenomenon and Symmetric Optimization Problems, 2022, pp 295-325 from Springer

Abstract: Abstract In this chapter we study turnpike properties for a discrete dispersive dynamical system generated by set-valued mappings, which was introduced by A. M. Rubinov in 1980. This dispersive dynamical system has a prototype in mathematical economics. In particular, it is an abstract extension of the classical von Neumann–Gale model. Our dynamical system is described by a compact metric space of states and a transition operator, which is set-valued. Our goal is to study the asymptotic behavior of the trajectories of this dynamical system.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-96973-8_8

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DOI: 10.1007/978-3-030-96973-8_8

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