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On the existence and uniqueness of nonoptimal equilibria in dynamic stochastic economies

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  • Jeremy Greenwood
  • Gregory W. Huffman

Abstract

The question of the existence and uniqueness of a stationary equilibrium for distorted versions of the standard neoclassical growth model is addressed in this paper. The conditions presented guaranteeing the existence and uniqueness of nontrivial equilibrium for the class of economies under study are simple and intuitively appealing, while the existence and uniqueness proof developed is elementary. Examples are presented illustrating that economies with distortional taxation, endogenous growth with externalities, and monopolistic competition can all fit into the framework developed.

Suggested Citation

  • Jeremy Greenwood & Gregory W. Huffman, 1992. "On the existence and uniqueness of nonoptimal equilibria in dynamic stochastic economies," Staff Report 151, Federal Reserve Bank of Minneapolis.
  • Handle: RePEc:fip:fedmsr:151
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    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Hercowitz, Zvi & Sampson, Michael, 1991. "Output Growth, the Real Wage, and Employment Fluctuations," American Economic Review, American Economic Association, vol. 81(5), pages 1215-1237, December.
    3. Hadar, Josef & Russell, William R., 1971. "Stochastic dominance and diversification," Journal of Economic Theory, Elsevier, vol. 3(3), pages 288-305, September.
    4. Baxter, Marianne, 1991. "Approximating suboptimal dynamic equilibria : An Euler equation approach," Journal of Monetary Economics, Elsevier, vol. 28(2), pages 173-200, October.
    5. Danthine, Jean-Pierre & Donaldson, John B., 1990. "Efficiency wages and the business cycle puzzle," European Economic Review, Elsevier, vol. 34(7), pages 1275-1301, November.
    6. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
    7. Greenwood, Jeremy & Hercowitz, Zvi & Huffman, Gregory W, 1988. "Investment, Capacity Utilization, and the Real Business Cycle," American Economic Review, American Economic Association, vol. 78(3), pages 402-417, June.
    8. Coleman, Wilbur John, II, 1990. "Solving the Stochastic Growth Model by Policy-Function Iteration," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 27-29, January.
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    Cited by:

    1. Glomm, Gerhard & Ravikumar, B., 1999. "Competitive equilibrium and public investment plans," Journal of Economic Dynamics and Control, Elsevier, vol. 23(8), pages 1207-1224, August.
    2. Reffett, Kevin L., 1995. "Arbitrage pricing and the stochastic inflation tax in a multisector monetary economy," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 569-597, April.
    3. Coleman, Wilbur John, II, 1993. "Solving Nonlinear Dynamic Models on Parallel Computers," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 325-330, July.

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