Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case

By Juan Pablo Rincón-Zapatero, Carlos Rodríguez-Palmero. 2003

100 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Finance, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/11af0b7deb8a2d86a77a0b63366fddcbb7dc0d0b

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In Economics and Econometrics

1. Takashi Kamihigashi
2. Janusz Matkowski
3. Andrzej S. Nowak

In Finance

1. Janusz Matkowski
2. Takashi Kamihigashi
3. Andrzej S. Nowak

In Mathematical Physics

1. Janusz Matkowski
2. Takashi Kamihigashi
3. Andrzej S. Nowak

Citations in the corpus

• Elementary results on solutions to the bellman equation of dynamic programming: existence, uniqueness, and convergence (2014, methodology): “See Subsection 3.3 for related conditions used by Rincón-Zapatero and Rodŕıguez-Palmero (2003) and Martins-da-Rocha and Vailakis (2010).9 To our knowledge, the second conclusion of Theorem 2.2 is new.”
• On discounted dynamic programming with unbounded returns (2011, methodology): “Local contractions: a counterexample In an interesting paper by Rincón-Zapatero and Rodrigues-Palmero (2003) the existence and uniqueness of solutions of the Bellman equation in the unbounded case is a starting point of the considerations. The proposed method is based on the Banach Fixed Point Princ”