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Computing general equilibrium models with occupational choice and financial frictions

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

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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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
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  1. Andrés Erosa, 2000. "Financial Intermediation and Occupational Choice in Development," UWO Department of Economics Working Papers 20003, University of Western Ontario, Department of Economics.
  2. Timothy J Kehoe & David K Levine, 1993. "Debt Constrained Asset Markets," Levine's Working Paper Archive 1276, David K. Levine.
  3. 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.
  4. Bruce D. Smith & John H. Boyd, 1998. "The evolution of debt and equity markets in economic development," Economic Theory, Springer, vol. 12(3), pages 519-560.
  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. 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.
  7. Stefan Krasa & Anne P. Villamil, 2000. "Optimal Contracts when Enforcement Is a Decision Variable," Econometrica, Econometric Society, vol. 68(1), pages 119-134, January.
  8. John Stachurski, 2005. "Computing the Distributions of Economic Models Via Simulation," Department of Economics - Working Papers Series 949, The University of Melbourne.
  9. Banerjee, Abhijit V & Newman, Andrew F, 1993. "Occupational Choice and the Process of Development," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 274-98, April.
  10. Bhattacharya, Joydeep & Betts, Caroline, 1998. "Unemployment, Credit Rationing, and Capital Accumulation: A Tale of Two Frictions," Staff General Research Papers 5104, Iowa State University, Department of Economics.
  11. António Antunes & Tiago Cavalcanti & Anne Villamil, 2006. "The Effect of Financial Repression & Enforcement on Entrepreneurship and Economic Development," SCAPE Policy Research Working Paper Series 0610, National University of Singapore, Department of Economics, SCAPE.
  12. 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.
  13. 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.
  14. 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.
  15. Lloyd-Ellis, Huw & Bernhardt, Dan, 2000. "Enterprise, Inequality and Economic Development," Review of Economic Studies, Wiley Blackwell, vol. 67(1), pages 147-68, January.
  16. 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.
  17. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  18. Stokey, Nancy L, 1988. "Learning by Doing and the Introduction of New Goods," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 701-17, August.
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