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On the Least Upper Bound of Discount Factors that are Compatible with Optimal Period-Three Cycles

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

Chapter Chapter 8 in Nonlinear Dynamics in Equilibrium Models, 2012, pp 165-191 from Springer

Abstract: Abstract In this study, we derive, in the standard class of optimal growth models, the least upper bound of discount factors of future utilities for which a cyclical optimal path of period 3 may emerge.1 On the one hand, Nishimura and Yano (1994) and Nishimura et al. (1994) construct examples in which a cyclical optimal path of period 3 emerges for discount factors around 0:36. On the other hand, Sorger (1992a,b, 1994), demonstrates that if such a path emerges in an optimal growth model of the standard class, the model’s discount factor cannot exceed 0:5478.

Date: 2012
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DOI: 10.1007/978-3-642-22397-6_8

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