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Discrete Dispersive Dynamical Systems

In: Turnpike Phenomenon and Symmetric Optimization Problems

Author

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  • Alexander Zaslavski

    (Technion-Israel Institute of Technol)

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.

Suggested Citation

  • Alexander Zaslavski, 2022. "Discrete Dispersive Dynamical Systems," Springer Optimization and Its Applications, in: Turnpike Phenomenon and Symmetric Optimization Problems, chapter 0, pages 295-325, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-96973-8_8
    DOI: 10.1007/978-3-030-96973-8_8
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