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Turnpike Phenomenon for the RSS Model with Nonconcave Utility Functions

In: Turnpike Theory for the Robinson–Solow–Srinivasan Model

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  • Alexander J. Zaslavski

    (Technion – Israel Institute of Technology)

Abstract

In this chapter we study the turnpike properties for the Robinson–Solow–Srinivasan model. To have these properties means that the approximate solutions of the problems are essentially independent of the choice of an interval and endpoint conditions. The utility functions, which determine the optimality criterion, are nonconcave. We show that the turnpike properties hold and that they are stable under perturbations of an objective function. Moreover, we consider a class of RSS models which is identified with a complete metric space of utility functions. Using the Baire category approach, we show that the turnpike phenomenon holds for most of the models. All the results of this chapter are new.

Suggested Citation

  • Alexander J. Zaslavski, 2020. "Turnpike Phenomenon for the RSS Model with Nonconcave Utility Functions," Springer Optimization and Its Applications, in: Turnpike Theory for the Robinson–Solow–Srinivasan Model, chapter 0, pages 285-340, Springer.
  • Handle: RePEc:spr:spochp:978-3-030-60307-6_9
    DOI: 10.1007/978-3-030-60307-6_9
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