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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 (Arizona State University)
Leonard J. Mirman (University of Virginia)
Kevin L. Reffett () (Arizona State University)

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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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Publisher Info
Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 99-080/2.

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Date of creation: 08 Oct 1999
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Handle: RePEc:dgr:uvatin:19990080

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References listed on IDEAS
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. Greenwood Jeremy & Huffman Gregory W., 1995. "On the Existence of Nonoptimal Equilibria in Dynamic Stochastic Economies," Journal of Economic Theory, Elsevier, vol. 65(2), pages 611-623, April. [Downloadable!] (restricted)
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  2. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-37, October. [Downloadable!] (restricted)
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  6. Thomas F. Cooley & Gary D. Hansen, 1987. "The Inflation Tax in a Real Business Cycle Model," UCLA Economics Working Papers 496, UCLA Department of Economics. [Downloadable!]
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  7. Manuel S. Santos & Jesus Vigo-Aguiar, 1998. "Analysis of a Numerical Dynamic Programming Algorithm Applied to Economic Models," Econometrica, Econometric Society, vol. 66(2), pages 409-426, March.
  8. Ireland, Peter N, 1994. "Money and Growth: An Alternative Approach," American Economic Review, American Economic Association, vol. 84(1), pages 47-65, March. [Downloadable!] (restricted)
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  15. Devereux, Michael B. & Head, Allen C. & Lapham, Beverly J., 1996. "Aggregate fluctuations with increasing returns to specialization and scale," Journal of Economic Dynamics and Control, Elsevier, vol. 20(4), pages 627-656, April. [Downloadable!] (restricted)
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  17. 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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  18. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July. [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. 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:
  2. Manjira Datta & Kevin L. Reffett, 2005. "Isotone Recursive Methods: the Case of Homogeneous Agents," Tinbergen Institute Discussion Papers 05-012/2, Tinbergen Institute. [Downloadable!]
  3. 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:
  4. 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!]
  5. GOENKA Aditya & NGUYEN Manh-Hung, 2009. "Existence of competitive equilibrium in an optimal growth model with elastic labor supply and smoothness of the policy function," Working Papers 09.21.297, LERNA, University of Toulouse. [Downloadable!]
  6. Zhigang Feng & Jianjun Miao & Adrian Peralta-Alva & Manuel S. Santos, 2009. "Numerical simulation of nonoptimal dynamic equilibrium models," Working Papers 2009-018, Federal Reserve Bank of St. Louis. [Downloadable!]
    Other versions:
  7. David Kelly, 2009. "Subsidies to Industry and the Environment," NBER Working Papers 14999, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  8. Kevin Reffett & Manjira Datta & Leonard Mirman & Olivier Morand, . "Monotone Methods for Markovian Equilibrium in Dynamic Economies," Working Papers 2133476, Department of Economics, W. P. Carey School of Business, Arizona State University. [Downloadable!]
    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!]
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  10. 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!]
  11. 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!]
  12. 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!]
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  13. 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!]
  14. 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!]
  15. 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!]
  16. Manjira Datta & Leonard J. Mirman & Olivier F. Morand & Kevin L. Reffett, 2005. "Markovian Equilibrium in Infinite Horizon Economies with Incomplete Markets and Public Policy," Tinbergen Institute Discussion Papers 05-013/2, Tinbergen Institute. [Downloadable!]
    Other versions:
  17. Manuel S. Santos, 2003. "Estimation by Simulation of Monotone Dynamical Systems," Levine's Bibliography 506439000000000229, UCLA Department of Economics. [Downloadable!]
  18. 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!]
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