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

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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Handle: RePEc:asu:wpaper:2132846
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Find related papers by JEL classification:
  • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
  • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
  • D90 - Microeconomics - - Intertemporal Choice - - - General
  • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General

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  10. Gillman, Max, 1993. "The welfare cost of inflation in a cash-in-advance economy with costly credit," Journal of Monetary Economics, Elsevier, vol. 31(1), pages 97-115, February.
  11. 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.
  12. 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.
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  14. Brock, William A. & Mirman, Leonard J., 1972. "Optimal economic growth and uncertainty: The discounted case," Journal of Economic Theory, Elsevier, vol. 4(3), pages 479-513, June.
  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.
  16. Coleman, Wilbur II, 1997. "Equilibria in Distorted Infinite-Horizon Economies with Capital and Labor," Journal of Economic Theory, Elsevier, vol. 72(2), pages 446-461, February.
  17. Judd, Kenneth L, 1987. "The Welfare Cost of Factor Taxation in a Perfect-Foresight Model," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 675-709, August.
  18. Shannon, Chris, 1994. "Regular nonsmooth equations," Journal of Mathematical Economics, Elsevier, vol. 23(2), pages 147-165, March.
  19. Ireland, Peter N, 1994. "Money and Growth: An Alternative Approach," American Economic Review, American Economic Association, vol. 84(1), pages 47-65, March.
  20. Hornstein, Andreas, 1993. "Monopolistic competition, increasing returns to scale, and the importance of productivity shocks," Journal of Monetary Economics, Elsevier, vol. 31(3), pages 299-316, June.
  21. Judd, Kenneth L., 1999. "Optimal taxation and spending in general competitive growth models," Journal of Public Economics, Elsevier, vol. 71(1), pages 1-26, January.
  22. Greenwood, Jeremy & Huffman, Gregory W., 1991. "Tax analysis in a real-business-cycle model : On measuring Harberger triangles and Okun gaps," Journal of Monetary Economics, Elsevier, vol. 27(2), pages 167-190, April.
  23. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
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