[图书][B] Economic dynamics: theory and computation

J Stachurski - 2009 - books.google.com
A rigorous and example-driven introduction to topics in economic dynamics, with an
emphasis on mathematical and computational techniques for modeling dynamic systems …

Unique solutions for stochastic recursive utilities

M Marinacci, L Montrucchio - Journal of Economic Theory, 2010 - Elsevier
We study unique and globally attracting solutions of a general nonlinear stochastic equation,
widely used in Finance and Macroeconomics and closely related to stochastic Koopmans …

Necessary and sufficient conditions for existence and uniqueness of recursive utilities

J Borovička, J Stachurski - The Journal of Finance, 2020 - Wiley Online Library
We obtain exact necessary and sufficient conditions for existence and uniqueness of
solutions of a class of homothetic recursive utility models postulated by Epstein and Zin. The …

Do not Blame Bellman: It Is Koopmans' Fault

G Bloise, C Le Van, Y Vailakis - Econometrica, 2024 - Wiley Online Library
We provide a unified approach to stochastic dynamic programming with recursive utility
based on an elementary application of Tarski's fixed point theorem. We establish that the …

Existence and uniqueness of a fixed point for local contractions

VF Martins‐da‐Rocha, Y Vailakis - Econometrica, 2010 - Wiley Online Library
This paper proves the existence and uniqueness of a fixed point for local contractions
without assuming the family of contraction coefficients to be uniformly bounded away from 1 …

Convex dynamic programming with (bounded) recursive utility

G Bloise, Y Vailakis - Journal of Economic Theory, 2018 - Elsevier
We consider convex dynamic programs with general (bounded) recursive utilities. The
Contraction Mapping Theorem fails when the utility aggregator does not obey any …

On discounted dynamic programming with unbounded returns

J Matkowski, AS Nowak - Economic Theory, 2011 - Springer
In this paper, we apply the idea of k-local contraction of Rincón-Zapatero and Rodriguez-
Palmero (Econometrica 71: 1519–1555, 2003; Econ Theory 33: 381–391, 2007) to study …

Existence and uniqueness of recursive utilities without boundedness

TM Christensen - Journal of Economic Theory, 2022 - Elsevier
This paper derives primitive, easily verifiable sufficient conditions for existence and
uniqueness of (stochastic) recursive utilities for several important classes of preferences. In …

On recursive utilities with non-affine aggregator and conditional certainty equivalent

Ł Balbus - Economic Theory, 2020 - Springer
In this paper, we consider the problem of the existence and the uniqueness of a recursive
utility function defined on intertemporal lotteries. The purpose of this paper is to provide the …

Thompson aggregators, Scott continuous Koopmans operators, and least fixed point theory

RA Becker, JP Rincón-Zapatero - Mathematical Social Sciences, 2021 - Elsevier
We reconsider the theory of Thompson aggregators proposed by Marinacci and Montrucchio
(Marinacci and Montrucchio, 2010). We prove the existence of a Least Fixed Point (LFP) …