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Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor

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Author Info
Manjira Datta () (W. P. Carey School of Business Department of Economics)
Leonard Mirman (University of Virginia)
Kevin Reffett () (W. P. Carey School of Business Department of Economics)

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Abstract

In this paper, we provide a set of sufficient conditions under which recursive competitive equilibrium exist and are unique for a large class of distorted dynamic equilibrium models with capital and elastic labor supply. We develop a monotone map approach to the problem. The class of economies for which we are able to obtain our existence result is apparently considerably larger than those considered in previous work. Additionally unlike previous work, we are able to also prove that this equilibrium is unique. We conclude by applying the new results to some important examples of monetary economies often used in applied work.

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Paper provided by Department of Economics, W. P. Carey School of Business, Arizona State University in its series Working Papers with number 2132846.

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
D90 - Microeconomics - - Intertemporal Choice and Growth - - - General
E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General

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  6. Cooley, T.F. & Hansen, G.D., 1991. "The Distortions in a Neoclassical Monetary Economy," Papers 91-01, Rochester, Business - General.
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  7. Harold L. Cole & Lee E. Ohanian, 1998. "The demand for money and the nonneutrality of money," Staff Report 246, Federal Reserve Bank of Minneapolis. [Downloadable!]
  8. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Manjira Datta & Leonard J. Mirman & Olivier F. Morand & Kevin L. Reffett, 2002. "Monotone Methods for Markovian Equilibrium in Dynamic Economies," Tinbergen Institute Discussion Papers 02-086/2, Tinbergen Institute. [Downloadable!]
    Other versions:
  2. Manjira Datta & Leonard Mirman & Olivier F. Morand & Kevin Reffett, 2001. "Monotone Methods for Distorted Economies," Working papers 2001-03, University of Connecticut, Department of Economics. [Downloadable!]
  3. Olivier F. Morand & Kevin L. Reffett, 2001. "Existence and Uniqueness of Equilibrium in Nonoptimal Unbounded Infinite Horizon Economies," Working papers 2001-02, University of Connecticut, Department of Economics. [Downloadable!]
    Other versions:
  4. Manuel S. Santos, 2003. "Estimation by Simulation of Monotone Dynamical Systems," Levine's Bibliography 506439000000000229, UCLA Department of Economics. [Downloadable!]
  5. Cuong Le Van & Manh Hung Nguyen, 2005. "Existence of competitive equilibrium in a single-sector growth model with heterogeneous agents and endogenous leisure," Cahiers de la Maison des Sciences Economiques b05092, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  6. Nguyen Manh Hung & San Nguyen Van, 2005. "The Lagrange multipliers and existence of competitive equilibrium in an intertemporal model with endogenous leisure," Cahiers de la Maison des Sciences Economiques b05041, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  7. 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!]
  8. Olivier F. Morand & Kevin L. Reffett, 2002. "On the Existence and Characterization of Markovian Equilibrium in Models with Simple Non-Paternalistic Altruism," Working papers 2002-06, University of Connecticut, Department of Economics. [Downloadable!]
    Other versions:
  9. Kevin Reffett & Olivier Morand, . "Existence and Uniqueness of Equilibrium in Nonoptimal Unbounded Infinite Horizon Economies with Capital," Working Papers 2133378, Department of Economics, W. P. Carey School of Business, Arizona State University. [Downloadable!]
  10. García Belenguer, Fernando, 2006. "Stability, Global Dynamics and Markov Equilibrium in Models of Economic Growth," Working Papers in Economic Theory 2006/05, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History). [Downloadable!]
  11. 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!]
  12. Manuel S. Santos, 2003. "Simulation-Based Estimation Of Dynamic Models With Continuous Equilibrium Solutions," Economics Working Papers we034716, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  13. 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!]
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