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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Journal Article: On the Least Upper Bound of Discount Factors That Are Compatible with Optimal Period-Three Cycles (1996) 
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-22397-6_8
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DOI: 10.1007/978-3-642-22397-6_8
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