A Turnpike Property of Trajectories of Dynamical Systems with a Lyapunov Function

Alexander J. Zaslavski
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Alexander J. Zaslavski: Department of Mathematics, Technion-Israel Institute of Technology, Haifa 3200003, Israel

Games, 2020, vol. 11, issue 4, 1-8

Abstract: In this paper, we study the structure of trajectories of discrete disperse dynamical systems with a Lyapunov function which are generated by set-valued mappings. We establish a weak version of the turnpike property which holds for all trajectories of such dynamical systems which are of a sufficient length. This result is usually true for models of economic growth which are prototypes of our dynamical systems.

Keywords: compact metric space; global attractor; lyapunov function; set-valued mapping; turnpike (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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