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Fiscal policy, increasing returns, and endogenous fluctuations

  • Jang-Ting Guo
  • Kevin Lansing

We examine the quantitative implications of government fiscal policy in a discrete-time one-sector growth model with a productive externality that generates social increasing returns to scale. Starting from a laissez-faire economy that exhibits an indeterminate steady state (a sink), we show that the introduction of a constant capital tax or subsidy can lead to various forms of endogenous fluctuations, including stable 2-, 4-, 8-, and 10- cycles, quasi-periodic orbits, and chaos. In contrast, a constant labor tax or subsidy has no effect on the qualitative nature of the model's dynamics. We also show that the use of local steady-state analysis to detect the presence of multiple equilibria in this class of models can be misleading. For a plausible range of capital tax rates, the log-linearized dynamical system exhibits saddle-point stability (suggesting a unique equilibrium) while the true nonlinear model exhibits global indeterminancy. Finally, we explore the use of a state-contingent capital subsidy/tax scheme for stabilization purposes. We show that a local control policy designed using the log-linearized model can rule out sunspot equilibria near the steady state but may not prevent fluctuations arising from global indeterminacy. We proceed to use the nonlinear model to design a policy that can stabilize the economy against all forms of endogenous fluctuations and select a globally unique equilibrium.

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Papers in Applied Economic Theory with number 99-08.

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Date of creation: 1999
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Handle: RePEc:fip:fedfap:99-08
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  1. P. Pintus & D. Sands & R. de Vilder, 1998. "On the transition from local regular to global irregular fluctuations," THEMA Working Papers 98-18, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  2. Kamihigashi, Takashi, 1996. "Real business cycles and sunspot fluctuations are observationally equivalent," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 105-117, February.
  3. Benhabib, Jess & Schmitt-Grohé, Stephanie & Uribe, Martín, 1999. "The Perils of Taylor Rules," CEPR Discussion Papers 2314, C.E.P.R. Discussion Papers.
  4. Drugeon, Jean-Pierre & Venditti, Alain, 2001. "Intersectoral external effects, multiplicities & indeterminacies," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 765-787, May.
  5. Jang-Ting Guo & Kevin Lansing, 1999. "Fiscal policy, increasing returns, and endogenous fluctuations," Working Papers in Applied Economic Theory 99-08, Federal Reserve Bank of San Francisco.
  6. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
  7. Grandmont, Jean-Michel, 1986. "Stabilizing competitive business cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 57-76, October.
  8. Susanto Basu & John G. Fernald, 1996. "Returns to scale in U.S. production: estimates and implications," International Finance Discussion Papers 546, Board of Governors of the Federal Reserve System (U.S.).
  9. Bond, Eric W. & Wang, Ping & Yip, Chong K., 1996. "A General Two-Sector Model of Endogenous Growth with Human and Physical Capital: Balanced Growth and Transitional Dynamics," Journal of Economic Theory, Elsevier, vol. 68(1), pages 149-173, January.
  10. Jess Benhabib & Roger E.A. Farmer, 1992. "Indeterminacy and Increasing Returns," UCLA Economics Working Papers 646, UCLA Department of Economics.
  11. Lawrence J. Christiano & Sharon G. Harrison, 1996. "Chaos, sunspots, and automatic stabilizers," Staff Report 214, Federal Reserve Bank of Minneapolis.
  12. Kiminori Matsuyama, 1988. "Endogenous Price Fluctuations in an Optimizing Model of a Monetary Economy," Discussion Papers 813, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Cres, Herve & Ghiglino, Christian & Tvede, Mich, 1997. "Externalities, Internalization and Fluctuations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(2), pages 465-77, May.
  14. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier.
  15. Becker, Robert A., 1985. "Capital income taxation and perfect foresight," Journal of Public Economics, Elsevier, vol. 26(2), pages 147-167, March.
  16. George W. Evans & Seppo Honkapohja, 1993. "Adaptive forecasts, hysteresis, and endogenous fluctuations," Economic Review, Federal Reserve Bank of San Francisco, pages 3-13.
  17. Kaas, Leo, 1998. "Stabilizing chaos in a dynamic macroeconomic model," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 313-332, January.
  18. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
  19. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
  20. Burnside, C & Eichenbaum, M & Rebelo, S, 1995. "Capital Utilization and Returns to Scale," RCER Working Papers 402, University of Rochester - Center for Economic Research (RCER).
  21. Venditti, Alain, 1998. "Indeterminacy and endogenous fluctuations in two-sector growth models with externalities," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 521-542, January.
  22. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 725-737.
  23. Juster, F Thomas & Stafford, Frank P, 1991. "The Allocation of Time: Empirical Findings, Behavioral Models, and Problems of Measurement," Journal of Economic Literature, American Economic Association, vol. 29(2), pages 471-522, June.
  24. Chattopadhyay, Subir K, 1996. "Pareto Optimal Improvements for Sunspots: The Golden Rule as a Target for Stabilization," Economic Theory, Springer, vol. 8(1), pages 123-35, June.
  25. Abel, Andrew B & Blanchard, Olivier J, 1983. "An Intertemporal Model of Saving and Investment," Econometrica, Econometric Society, vol. 51(3), pages 675-92, May.
  26. Guo, Jang-Ting & Lansing, Kevin J., 1999. "Optimal taxation of capital income with imperfectly competitive product markets," Journal of Economic Dynamics and Control, Elsevier, vol. 23(7), pages 967-995, June.
  27. Farmer, Roger E. A., 1986. "Deficits and cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 77-88, October.
  28. Boldrin, Michele, 1992. "Dynamic externalities, multiple equilibria, and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 198-218, December.
  29. Duncan K. Foley, 1992. "A Contribution to the Theory of Business Cycles," The Quarterly Journal of Economics, Oxford University Press, vol. 107(3), pages 1071-1088.
  30. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
  31. Perli, Roberto, 1998. "Indeterminacy, home production, and the business cycle: A calibrated analysis," Journal of Monetary Economics, Elsevier, vol. 41(1), pages 105-125, February.
  32. Chattopadhyay, Subir & Muench, Thomas J., 1999. "Sunpsots and cycles reconsidered1," Economics Letters, Elsevier, vol. 63(1), pages 67-75, April.
  33. Guo, Jang-Ting & Lansing, Kevin J., 1998. "Indeterminacy and Stabilization Policy," Journal of Economic Theory, Elsevier, vol. 82(2), pages 481-490, October.
  34. Sims, Christopher A, 1994. "A Simple Model for Study of the Determination of the Price Level and the Interaction of Monetary and Fiscal Policy," Economic Theory, Springer, vol. 4(3), pages 381-99.
  35. 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.).
  36. Nishimura Kazuo & Sorger Gerhard, 1996. "Optimal Cycles and Chaos: A Survey," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(1), pages 1-20, April.
  37. Baierla, Gary & Nishimura, Kazuo & Yano, Makoto, 1998. "The role of capital depreciation in multi-sectoral models," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 467-479, January.
  38. Benhabib, Jess & Miyao, Takahiro, 1981. "Some New Results on the Dynamics of the Generalized Tobin Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(3), pages 589-96, October.
  39. Benhabib, Jess & Nishimura, Kazuo, 1987. "Stochastic Equilibrium Oscillations," Working Papers 87-13, C.V. Starr Center for Applied Economics, New York University.
  40. Greiner Alfred & Semmler Willi, 1996. "Saddle Path Stability, Fluctuations, and Indeterminacy in Economic Growth," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(2), pages 1-16, July.
  41. Paul Romer & George Evans & Seppo Hokapohja, . "Growth Cycles," Home Pages _001, Stanford University.
  42. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
  43. 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.
  44. Smith, Bruce D, 1994. "Efficiency and Determinacy of Equilibrium under Inflation Targeting," Economic Theory, Springer, vol. 4(3), pages 327-44.
  45. Becker, Robert A & Foias, Ciprian, 1994. "The Local Bifurcation of Ramsey Equilibrium," Economic Theory, Springer, vol. 4(5), pages 719-44, August.
  46. Robert J. Barro & Xavier Sala-i-Martin, 1990. "Public Finance in Models of Economic Growth," NBER Working Papers 3362, National Bureau of Economic Research, Inc.
  47. Michele Boldrin & Michael Woodford, 1988. "Equilibruim Models Displaying Endogenous Fluctuations and Chaos: A Survey," UCLA Economics Working Papers 530, UCLA Department of Economics.
  48. repec:cup:macdyn:v:3:y:1999:i:1:p:84-114 is not listed on IDEAS
  49. G, Cazzavillan & T, Lloyd-Braga & P, A, Pintus, 1997. "Multiple Steady States and Endogenous Fluctuations with Increasing Returns to Scale in Production," Working Papers 97-29, Centre de Recherche en Economie et Statistique.
  50. Puhakka, Mikko & Wright, Randall, 1991. "Subsidization and Stabilization: Optimal Employment Policy under Aggregate Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(2), pages 513-28, May.
  51. Shleifer, Andrei, 1986. "Implementation Cycles," Journal of Political Economy, University of Chicago Press, vol. 94(6), pages 1163-90, December.
  52. Benhabib, Jess, 1980. "Adaptive monetary policy and rational expectations," Journal of Economic Theory, Elsevier, vol. 23(2), pages 261-266, October.
  53. Subir K. Chattopadhyay, 1996. "Pareto optimal improvements for sunspots: The golden rule as a target for stabilization," Economic Theory, Springer, vol. 8(1), pages 123-135.
  54. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  55. Dechert, W. Davis & Nishimura, Kazuo, 1983. "A complete characterization of optimal growth paths in an aggregated model with a non-concave production function," Journal of Economic Theory, Elsevier, vol. 31(2), pages 332-354, December.
  56. Barnett William A. & He Yijun, 1999. "Stability Analysis of Continuous-Time Macroeconometric Systems," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(4), pages 1-22, January.
  57. Reichlin Pietro, 1997. "Endogenous Cycles in Competitive Models: An Overview," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(4), pages 1-13, January.
  58. Gaines, R. E. & Peterson, J. K., 1985. "The existence of optimal consumption policies in optimal economic growth models with nonconvex technologies," Journal of Economic Theory, Elsevier, vol. 37(1), pages 76-98, October.
  59. Kind, Christoph, 1999. "Remarks on the economic interpretation of Hopf bifurcations," Economics Letters, Elsevier, vol. 62(2), pages 147-154, February.
  60. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
  61. Mitra, Tapan, 1998. "On the relationship between discounting and complicated behavior in dynamic optimization models," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 421-434, January.
  62. Michener, Ronald & Ravikumar, B., 1998. "Chaotic dynamics in a cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1117-1137, May.
  63. repec:cup:macdyn:v:2:y:1998:i:4:p:505-32 is not listed on IDEAS
  64. Goenka, Aditya, 1994. "Fiscal Rules and Extrinsic Uncertainty," Economic Theory, Springer, vol. 4(3), pages 401-16, May.
  65. 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.
  66. Guo, Jang-Ting, 1999. "Multiple equilibria and progressive taxation of labor income," Economics Letters, Elsevier, vol. 65(1), pages 97-103, October.
  67. Kemp, Murray C & Long, Ngo Van & Shimomura, Koji, 1993. "Cyclical and Noncyclical Redistributive Taxation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(2), pages 415-29, May.
  68. Medio, Alfredo, 1998. "Nonlinear Dynamics And Chaos Part I: A Geometrical Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 2(04), pages 505-532, December.
  69. Matheny, K-J, 1996. "Output Targeting and an Argument for Stabilization Policies," Purdue University Economics Working Papers 1092, Purdue University, Department of Economics.
  70. Wen, Yi, 1998. "Investment cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1139-1165, May.
  71. Bullard, James & Butler, Alison, 1993. "Nonlinearity and Chaos in Economic Models: Implications for Policy Decisions," Economic Journal, Royal Economic Society, vol. 103(419), pages 849-67, July.
  72. Wen, Yi, 1998. "Capacity Utilization under Increasing Returns to Scale," Journal of Economic Theory, Elsevier, vol. 81(1), pages 7-36, July.
  73. Austin, D. Andrew, 1999. "Social Security as an Economic Stabilization Program," Journal of Macroeconomics, Elsevier, vol. 21(2), pages 309-333, April.
  74. Georges, Christophre, 1995. "Adjustment costs and indeterminacy in perfect foresight models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 39-50.
  75. Harold L. Cole & Lee E. Ohanian, 1999. "Aggregate returns to scale: why measurement is imprecise," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Sum, pages 19-28.
  76. Medio, Alfredo, 1999. "Nonlinear Dynamics And Chaos Part Ii: Ergodic Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 3(01), pages 84-114, March.
  77. Fukuda, Shin-ichi, 1997. "The Role of Monetary Policy in Eliminating Nonconvergent Dynamic Paths," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 249-61, February.
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