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Optimal Growth Models with Bounded or Unbounded Returns : a Unifying Approach

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Author Info
Le Van, C.
Morhaim, L.

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Abstract

In this paper we propose a unifying approach to study optimal growth models with bounded or unbounded returns. We prove existence of optimal solutions. We prove also, without using contraction method, that the value function is the unique solution to the Bellman equation in some classes of functions.

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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Papiers d'Economie Mathématique et Applications with number 2000.64.

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Length: 32 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:fth:pariem:2000.64

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Postal: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France
Web page: http://cermsem.univ-paris1.fr/
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Related research
Keywords: UTILITY FUNCTIONS ; GROWHT MODELS ; GROWTH RATE;

Other versions of this item:

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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  1. LE VAN, Cuong & SAGLAM, Cagri, 2003. "Optimal growth models and the Lagrange multiplier," CORE Discussion Papers 2003083, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  2. Cuong Le Van & Yiannis Vailakis, 2004. "Existence of competitive equilibrium in a single-sector growth model with elastic labour," Cahiers de la Maison des Sciences Economiques b04123, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  3. Takashi Kamihigashi, 2007. "On the Principle of Optimality for Nonstationary Deterministic Dynamic Programming," Discussion Paper Series 200, Research Institute for Economics & Business Administration, Kobe University. [Downloadable!]
  4. Matkowski, Janusz & Nowak, Andrzej S., 2008. "On Discounted Dynamic Programming with Unbounded Returns," MPRA Paper 12215, University Library of Munich, Germany. [Downloadable!]
  5. Cuong Le Van & Manh Hung Nguyen & Yiannis Vailakis, 2005. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Cahiers de la Maison des Sciences Economiques b05096, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  6. Manjira Datta & Leonard Mirman & Kevin Reffett, . "Nonclassical Brock-Mirman Economies," Working Papers 2179544, Department of Economics, W. P. Carey School of Business, Arizona State University. [Downloadable!]
  7. Cuong Le Van & Manh-Hung Nguyen & Yiannis Vailakis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00101237_v1, HAL. [Downloadable!]
  8. Colin Rowat, 2005. "Non-Linear Strategies in a Linear Quadratic Differential Game," Discussion Papers 05-05, Department of Economics, University of Birmingham.
    Other versions:
  9. Leonard J Mirman & Olivier F. Morand & Kevin L. Reffett, 2004. "A Qualitative Approach to Markovian Equilibrium in Infinite Horizon Economies with Capital," Levine's Bibliography 122247000000000224, UCLA Department of Economics. [Downloadable!]
    Other versions:
  10. Marius Valentin Boldea, 2006. "On the equilibrium in a discrete-time Lucas Model with endogenous leisure," Cahiers de la Maison des Sciences Economiques b06054, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  11. Richard M. H. Suen, 2009. "Bounding the CRRA Utility Functions," Working Papers 200902, University of California at Riverside, Department of Economics, revised Feb 2009. [Downloadable!]
    Other versions:
  12. Takashi Kamihigashi, 2006. "Stochastic Optimal Growth with Bounded or Unbounded Utility and with Bounded or Unbounded Shocks," Discussion Paper Series 189, Research Institute for Economics & Business Administration, Kobe University. [Downloadable!]
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