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Chaos, sunspots, and automatic stabilizers

  • Lawrence J. Christiano
  • Sharon G. Harrison

We study a one-sector growth model which is standard except for the presence of an externality in the production function. The set of competitive equilibria is large. It includes constant equilibria, sunspot equilibria, cyclical and chaotic equilibria, and equilibria with deterministic or stochastic regime switching. The efficient allocation is characterized by constant employment and a constant growth rate. We identify an income tax-subsidy schedule that supports the efficient allocation as the unique equilibrium outcome. That schedule has two properties: (i) it specifies the tax rate to be an increasing function of aggregate employment, and (ii) earnings are subsidized when aggregate employment is at its efficient level. The first feature eliminates inefficient, fluctuating equilibria, while the second induces agents to internalize the externality.

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Paper provided by Federal Reserve Bank of Minneapolis in its series Staff Report with number 214.

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Date of creation: 1996
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Handle: RePEc:fip:fedmsr:214
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  1. Michele Boldrin & Michael Woodford, 1988. "Equilibruim Models Displaying Endogenous Fluctuations and Chaos: A Survey," UCLA Economics Working Papers 530, UCLA Department of Economics.
  2. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, Oxford University Press, vol. 98(3), pages 525-528.
  3. Christiano, Lawrence J., 1984. "A reexamination of the theory of automatic stabilizers," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 20(1), pages 147-206, January.
  4. Gali, J., 1991. "Monopolistic Competition, Business Cycles and the Composition of Aggregate Demand," Papers 92-03, Columbia - Graduate School of Business.
  5. Kiminori Matsuyama, 1988. "Endogenous Price Fluctuations in an Optimizing Model of Monetary Economy," Discussion Papers 825, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. George J. Hall, 1994. "Overtime, effort and the propagation of business cycle shocks," Working Paper Series, Macroeconomic Issues 94-25, Federal Reserve Bank of Chicago.
  7. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
  8. Craig Burnside & Martin Eichenbaum, 1994. "Factor Hoarding and the Propagation of Business Cycles Shocks," NBER Working Papers 4675, National Bureau of Economic Research, Inc.
  9. Jovanovic, Boyan, 1988. "Observable Implications Of Models With Multiple Equilibria," Working Papers 88-20, C.V. Starr Center for Applied Economics, New York University.
  10. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  11. Dagsvik, John & Jovanovic, Boyan, 1991. "Was the Great Depression a Low-Level Equilibrium?," Working Papers 91-07, C.V. Starr Center for Applied Economics, New York University.
  12. Imrohoroglu, Selahattin, 1993. "Testing for sunspot equilibria in the German hyperinflation," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 289-317.
  13. Peter Howitt & R. Preston McAfee, 1988. "Stability of Equilibria with Externalities," The Quarterly Journal of Economics, Oxford University Press, vol. 103(2), pages 261-277.
  14. Mark W. Watson, 1991. "Measures of Fit for Calibrated Models," NBER Technical Working Papers 0102, National Bureau of Economic Research, Inc.
  15. Diamond, Douglas W & Dybvig, Philip H, 1983. "Bank Runs, Deposit Insurance, and Liquidity," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 401-19, June.
  16. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
  17. Domowitz, Ian & El-Gamal, Mahmoud A., 1993. "A Consistent Test of Stationary Ergodicity," Working Papers 794, California Institute of Technology, Division of the Humanities and Social Sciences.
  18. Gali, Jordi, 1994. "Monopolistic competition, endogenous markups, and growth," European Economic Review, Elsevier, vol. 38(3-4), pages 748-756, April.
  19. Bryant, John, 1981. "Bank Collapse and Depression," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 13(4), pages 454-64, November.
  20. Lawrence J. Christiano & Martin Eichenbaum, 1990. "Current real business cycle theories and aggregate labor market fluctuations," Working Paper Series, Macroeconomic Issues 90, Federal Reserve Bank of Chicago.
  21. Roger E.A. Farmer, 1994. "Indeterminacy and Sector-Specific Externalities," UCLA Economics Working Papers 722, UCLA Department of Economics.
  22. Schmitt-Grohe, Stephanie, 1997. "Comparing Four Models of Aggregate Fluctuations due to Self-Fulfilling Expectations," Journal of Economic Theory, Elsevier, vol. 72(1), pages 96-147, January.
  23. Marianne Baxter & Robert G. King, 1991. "Productive externalities and business cycles," Discussion Paper / Institute for Empirical Macroeconomics 53, Federal Reserve Bank of Minneapolis.
  24. Benhabib Jess & Rustichini Aldo, 1994. "Introduction to the Symposium on Growth, Fluctuations, and Sunspots: Confronting the Data," Journal of Economic Theory, Elsevier, vol. 63(1), pages 1-18, June.
  25. Jess Benhabib & Roger Farmer, 1998. "The Monetary Transmission Mechanism," Levine's Working Paper Archive 2055, David K. Levine.
  26. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-94, October.
  27. Paul M Romer, 1999. "Increasing Returns and Long-Run Growth," Levine's Working Paper Archive 2232, David K. Levine.
  28. Altug, Sumru, 1989. "Time-to-Build and Aggregate Fluctuations: Some New Evidence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(4), pages 889-920, November.
  29. Mortensen, Dale T, 1989. " The Persistence and Indeterminancy of Unemployment in Search Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 91(2), pages 347-70.
  30. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, Oxford University Press, vol. 103(3), pages 441-463.
  31. Grandmont Jean-michel, 1985. "Stabilizing competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8518, CEPREMAP.
  32. Kiminori Matsuyama, 1990. "Increasing Returns, Industrialization and Indeterminacy of Equilibrium," Discussion Papers 878, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  33. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
  34. Christiano, Lawrence J., 1988. "Why does inventory investment fluctuate so much?," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 247-280.
  35. Burnside, Craig & Eichenbaum, Martin & Rebelo, Sérgio, 1995. "Capital Utilization and Returns to Scale," CEPR Discussion Papers 1221, C.E.P.R. Discussion Papers.
  36. Boldrin, Michele & Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A dynamic equilibrium model of search, production, and exchange," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 723-758.
  37. Farmer Roger E. A. & Guo Jang-Ting, 1994. "Real Business Cycles and the Animal Spirits Hypothesis," Journal of Economic Theory, Elsevier, vol. 63(1), pages 42-72, June.
  38. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-42, March.
  39. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
  40. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  41. El-Gamal, Mahmoud A, 1991. "Non-parametric Estimation of Deterministically Chaotic Systems," Economic Theory, Springer, vol. 1(2), pages 147-67, April.
  42. Shleifer, Andrei, 1986. "Implementation Cycles," Journal of Political Economy, University of Chicago Press, vol. 94(6), pages 1163-90, December.
  43. Farmer, Roger E. A. & Jang-Ting, Guo, 1995. "The econometrics of indeterminacy: an applied study," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 225-271, December.
  44. William Poole, 1969. "Optimal choice of monetary policy instruments in a simple stochastic macro model," Special Studies Papers 2, Board of Governors of the Federal Reserve System (U.S.).
  45. William Poole, 1970. "Optimal Choice of Monetary Policy Instruments in a Simple Stochastic Macro Model," The Quarterly Journal of Economics, Oxford University Press, vol. 84(2), pages 197-216.
  46. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
  47. Stephanie Schmitt-Grohe & Martin Uribe, 1995. "Balanced-budget rules, distortionary taxes, and aggregate instability," Finance and Economics Discussion Series 95-44, Board of Governors of the Federal Reserve System (U.S.).
  48. Farmer, Roger E.A. & Woodford, Michael, 1997. "Self-Fulfilling Prophecies And The Business Cycle," Macroeconomic Dynamics, Cambridge University Press, vol. 1(04), pages 740-769, December.
  49. Woodford, Michael, 1987. "Three Questions about Sunspot Equilibria as an Explanation of Economic Fluctuations," American Economic Review, American Economic Association, vol. 77(2), pages 93-98, May.
  50. Cogley, Timothy & Nason, James M, 1995. "Output Dynamics in Real-Business-Cycle Models," American Economic Review, American Economic Association, vol. 85(3), pages 492-511, June.
  51. repec:oup:restud:v:67:y:2000:i:1:p:91-116 is not listed on IDEAS
  52. Paul Krugman, 1991. "History versus Expectations," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 651-667.
  53. McGrattan, Ellen R & Rogerson, Richard & Wright, Randall, 1997. "An Equilibrium Model of the Business Cycle with Household Production and Fiscal Policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(2), pages 267-90, May.
  54. Alvarez, Fernando & Stokey, Nancy L., 1998. "Dynamic Programming with Homogeneous Functions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 167-189, September.
  55. repec:fth:starer:9613 is not listed on IDEAS
  56. Harold L. Cole & Timothy J. Kehoe, 2000. "Self-Fulfilling Debt Crises," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 91-116.
  57. Lawrence J. Christiano & Richard M. Todd, 1996. "Time to plan and aggregate fluctuations," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 14-27.
  58. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-86, September.
  59. Romer, Paul M, 1987. "Growth Based on Increasing Returns Due to Specialization," American Economic Review, American Economic Association, vol. 77(2), pages 56-62, May.
  60. Stanley Fischer, 1980. "On Activist Monetary Policy with Rational Expectations," NBER Chapters, in: Rational Expectations and Economic Policy, pages 211-247 National Bureau of Economic Research, Inc.
  61. Rotemberg, Julio J & Woodford, Michael, 1996. "Real-Business-Cycle Models and the Forecastable Movements in Output, Hours, and Consumption," American Economic Review, American Economic Association, vol. 86(1), pages 71-89, March.
  62. Finn Kydland & Edward C. Prescott, 1980. "A Competitive Theory of Fluctuations and the Feasibility and Desirability of Stabilization Policy," NBER Chapters, in: Rational Expectations and Economic Policy, pages 169-198 National Bureau of Economic Research, Inc.
  63. Boldrin, Michele, 1992. "Dynamic externalities, multiple equilibria, and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 198-218, December.
  64. Dale T. Mortensen, 1991. "Equilibrium Unemployment Cycles," Discussion Papers 939, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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