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Computing general equilibrium models with occupational choice and financial frictions

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  • Antunes, António
  • Cavalcanti, Tiago
  • Villamil, Anne

Abstract

This paper establishes the existence of a stationary equilibrium and a procedure to compute solutions to a class of dynamic general equilibrium models with two important features. First, occupational choice is determined endogenously as a function of heterogeneous agent type, which is defined by an agent's managerial ability and capital bequest. Heterogeneous ability is exogenous and independent across generations. In contrast, bequests link generations and the distribution of bequests evolves endogenously. Second, there is a financial market for capital loans with a deadweight intermediation cost and a repayment incentive constraint. The incentive constraint induces a non-convexity. The paper proves that the competitive equilibrium can be characterized by the bequest distribution and factor prices, and uses the monotone mixing condition to ensure that the stationary bequest distribution that arises from the agent's optimal behavior across generations exists and is unique. The paper next constructs a direct, non-parametric approach to compute the stationary solution. The method reduces the domain of the policy function, thus reducing the computational complexity of the problem.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 44 (2008)
Issue (Month): 7-8 (July)
Pages: 553-568

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Handle: RePEc:eee:mateco:v:44:y:2008:i:7-8:p:553-568

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Web page: http://www.elsevier.com/locate/jmateco

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  1. Abhijit V. Banerjee & Andrew F. Newman, 1990. "Occupational Choice and the Process of Development," Discussion Papers 911, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Antunes, António & Cavalcanti, Tiago & Villamil, Anne, 2008. "The effect of financial repression and enforcement on entrepreneurship and economic development," Journal of Monetary Economics, Elsevier, vol. 55(2), pages 278-297, March.
  3. John H. Boyd & Bruce D. Smith, 1995. "The evolution of debt and equity markets in economic development," Working Papers 542, Federal Reserve Bank of Minneapolis.
  4. Nancy L Stokey, 1986. "Learning-by-Doing and the Introduction of New Goods," Discussion Papers 699, Northwestern University, Center for Mathematical Studies in Economics and Management Science, revised May 1987.
  5. Krasa, Stefan & Sharma, Tridib & Villamil, Anne P., 2005. "Debt contracts and cooperative improvements," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 857-874, November.
  6. Antunes, Antonio R. & Cavalcanti, Tiago V. de V., 2007. "Start up costs, limited enforcement, and the hidden economy," European Economic Review, Elsevier, vol. 51(1), pages 203-224, January.
  7. Lloyd-Ellis, Huw & Bernhardt, Dan, 2000. "Enterprise, Inequality and Economic Development," Review of Economic Studies, Wiley Blackwell, vol. 67(1), pages 147-68, January.
  8. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-406, November.
  9. Timothy J Kehoe & David K Levine, 1993. "Debt Constrained Asset Markets," Levine's Working Paper Archive 1276, David K. Levine.
  10. Caroline Betts & Joydeep Bhattacharya, 1998. "Unemployment, credit rationing, and capital accumulation: a tale of two frictions," Economic Theory, Springer, vol. 12(3), pages 489-517.
  11. Krasa, Stefan & Yannelis, Nicholas C, 1994. "An Elementary Proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley Theorem," Economic Theory, Springer, vol. 4(3), pages 467-71, May.
  12. Amaral, Pedro S. & Quintin, Erwan, 2006. "A competitive model of the informal sector," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1541-1553, October.
  13. John Stachurski, 2005. "Computing the Distributions of Economic Models Via Simulation," Department of Economics - Working Papers Series 949, The University of Melbourne.
  14. Andres Erosa, 2001. "Financial Intermediation and Occupational Choice in Development," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(2), pages 303-334, April.
  15. Antonio Antunes & Tiago Cavalcanti & Anne Villamil, 2006. "The Effect of Financial Repression & Enforcement on Entrepreneurship and Economic Development," Development Economics Working Papers 21816, East Asian Bureau of Economic Research.
  16. Elisabeth Huybens & Gaetano Antinolfi, 1998. "Capital accumulation and real exchange rate behavior in a small open economy with credit market frictions," Economic Theory, Springer, vol. 12(3), pages 461-488.
  17. Stefan Krasa & Anne P. Villamil, 2000. "Optimal Contracts when Enforcement Is a Decision Variable," Econometrica, Econometric Society, vol. 68(1), pages 119-134, January.
  18. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
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Cited by:
  1. Antonio Antunes & Tiago Cavalcanti & Anne Villamil, 2006. "The Effect of Financial Repression & Enforcement on Entrepreneurship and Economic Development," Development Economics Working Papers 21816, East Asian Bureau of Economic Research.
  2. Takashi Kamihigashi & John Stachurski, 2011. "Stability of Stationary Distributions in Monotone Economies," ANU Working Papers in Economics and Econometrics 2011-561, Australian National University, College of Business and Economics, School of Economics.
  3. Takashi Kamihigashi & John Stachurski, 2011. "Existence, Stability and Computation of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem," Discussion Paper Series DP2011-32, Research Institute for Economics & Business Administration, Kobe University.
  4. Henrekson, Magnus & Sanandaji, Tino, 2013. "Small Business Activity Does not Measure Entrepreneurship," Working Paper Series 959, Research Institute of Industrial Economics, revised 26 Jan 2014.
  5. Joanna Georgios Alexopoulos & Anne Villamil, 2014. "The Effects Of Frictions In The Labormarket On Entrepreneurship And Economic Development," Anais do XL Encontro Nacional de Economia [Proceedings of the 40th Brazilian Economics Meeting] 045, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics].
  6. Antonio Antunes & Tiago Cavalcanti & Anne Villamil, 2012. "The Effects of Credit Subsidies on Development," Centre for Growth and Business Cycle Research Discussion Paper Series 176, Economics, The Univeristy of Manchester.
  7. Takashi Kamihigashi & John Stachurski, 2012. "Existence, Uniqueness and Stability of Stationary Distributions: An Extension of the Hopenhayn-Prescott Theorem," Discussion Paper Series DP2012-27, Research Institute for Economics & Business Administration, Kobe University.

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