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We show that the critical capital stock of the Dechert-Nishimura (1983) model is a decreasing and continuous function of the discount factor. We also show that the critical capital stock merges with a nonzero steady state as the discount factor decreases to a certain boundary value, and that the...
Persistent link: https://www.econbiz.de/10009003257
We study existence and uniqueness of a fixed point for the Bellman operator in deterministic dynamic programming …. Without any topological assumption, we show that the Bellman operator has a unique fixed point in a restricted domain, that …
Persistent link: https://www.econbiz.de/10009493055
In equilibrium models of firm dynamics, the stationary equilibrium distribution of firms summarizes the predictions of the model for a given set of primitives. Focusing on Hopenhayn's seminal model of firm dynamics with entry and exit (Econometrica, 60:5, 1992, p. 1127–1150), we provide an...
Persistent link: https://www.econbiz.de/10010583477
We establish some elementary results on solutions to the Bellman equation without introducing any topological … assumption. Under a small number of conditions, we show that the Bellman equation has a unique solution in a certain set, that …
Persistent link: https://www.econbiz.de/10010900659
In this note, we show that the least fixed point of the Bellman operator in a certain set can be computed by value … Kamihigashi (2014, "Elementary results on solutions to the Bellman equation of dynamic programming:existence, uniqueness, and …
Persistent link: https://www.econbiz.de/10010940465
In equilibrium models of firm dynamics, the stationary equilibrium distribution of firms summarizes the predictions of the model for a given set of primitives. Focusing on Hopenhayn's seminal model of firm dynamics with entry and exit (Econometrica, 60:5, 1992, p. 1127–1150), we provide an...
Persistent link: https://www.econbiz.de/10010822749
In this paper we show that multiple interior steady states are possible in the Ramsey model with elastic labor supply. In particular we establish the following three results: (i) for any discount factor and production function, there is a utility function such that a continuum of interior steady...
Persistent link: https://www.econbiz.de/10010822751
-theoretic fixed point theorems can be used to establish the existence of a fixed point of the Bellman operator, as well as why they …
Persistent link: https://www.econbiz.de/10010822753
We establish some elementary results on solutions to the Bellman equation without introducing any topological … assumption. Under a small number of conditions, we show that the Bellman equation has a unique solution in a certain set, that …
Persistent link: https://www.econbiz.de/10010822768
-indexed value functions satisfies the Bellman equation if and only if its right-hand side is well defined, i.e., it does not involve -∞+∞. …
Persistent link: https://www.econbiz.de/10005784042