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Equilibrium Dynamics in a Two-Sector Model with Taxes

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  • Ortigueira, Salvador
  • Santos, Manuel S.

Abstract

In this paper we are concerned with the equilibrium dynamics of a two-sector model of endogenous growth with distortionary taxes. We show that for certain parameters values and tax schemes every equilibrium orbit--except the steady state solution--is non-interior; i.e., there are times in which one of the sectors is inactive. This analysis confirms that in multisector models the set of easily checkable, universal conditions that can guarantee the interiority of equilibrium solutions is rather limited.
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  • Ortigueira, Salvador & Santos, Manuel S., 2002. "Equilibrium Dynamics in a Two-Sector Model with Taxes," Journal of Economic Theory, Elsevier, vol. 105(1), pages 99-119, July.
  • Handle: RePEc:eee:jetheo:v:105:y:2002:i:1:p:99-119
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    1. Stokey, Nancy L & Rebelo, Sergio, 1995. "Growth Effects of Flat-Rate Taxes," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 519-550, June.
    2. McGrattan, Ellen R. & Schmitz, James Jr., 1999. "Explaining cross-country income differences," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 10, pages 669-737 Elsevier.
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    4. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 739-773.
    5. 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.
    6. Salvador Ortigueira, 1999. "Equilibrium Indeterminacy in an Endogenous Growth Model: Debt as a Coordination Device," Working Papers 9901, Centro de Investigacion Economica, ITAM.
    7. 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.
    8. Ladron-de-Guevara, Antonio & Ortigueira, Salvador & Santos, Manuel S., 1997. "Equilibrium dynamics in two-sector models of endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 115-143, January.
    9. Xavier Raurich, 2001. "Indeterminancy and Government Spending in a Two-Sector Model of Endogenous Growth," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(1), pages 210-229, January.
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    Cited by:

    1. Santos, Manuel S., 2002. "On Non-existence of Markov Equilibria in Competitive-Market Economies," Journal of Economic Theory, Elsevier, vol. 105(1), pages 73-98, July.
    2. Ghiglino, Christian, 2002. "Introduction to a General Equilibrium Approach to Economic Growth," Journal of Economic Theory, Elsevier, vol. 105(1), pages 1-17, July.
    3. Wei-Bin Zhang, 2008. "Growth and residential distribution with economic structure and amenity: A synthesis of Solow-Uzawa's growth, Alonso's urban, and Muth's housing models," Papers in Regional Science, Wiley Blackwell, vol. 87(2), pages 277-303, June.
    4. Stephen Turnovsky & Cecilia Garcia Penalosa, 2006. "The Dynamics of Wealth and Income distribution in a Neoclassical Growth Model," Computing in Economics and Finance 2006 318, Society for Computational Economics.
    5. Turnovsky, Stephen J. & Garci­a-Peñalosa, Cecilia, 2008. "Distributional dynamics in a neoclassical growth model: The role of elastic labor supply," Journal of Economic Dynamics and Control, Elsevier, vol. 32(5), pages 1399-1431, May.
    6. Garcia-Belenguer, Fernando, 2007. "Stability, global dynamics and Markov equilibrium in models of endogenous economic growth," Journal of Economic Theory, Elsevier, vol. 136(1), pages 392-416, September.
    7. repec:ebl:ecbull:v:5:y:2003:i:14:p:1-10 is not listed on IDEAS
    8. Hyun Park, 2009. "Ramsey fiscal policy and endogenous growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 377-398, June.
    9. Hu, Yunfang & Mino, Kazuo, 2004. "Fiscal Policy, Home Production and Growth Dynamics," MPRA Paper 17017, University Library of Munich, Germany.
    10. Reinhorn Leslie J., 2009. "Dynamic Optimal Taxation with Human Capital," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-21, October.
    11. Dirk Bethmann, 2007. "Homogeneity, Saddle Path Stability, and Logarithmic Preferences in Economic Models," Discussion Paper Series 0702, Institute of Economic Research, Korea University.
    12. Duernecker, Georg, 2007. "Growth Effects of Consumption Jealousy in a Two-Sector Model," Economics Series 201, Institute for Advanced Studies.
    13. Kei Hosoya, 2003. "Tax financed government health expenditure and growth with capital deepening externality," Economics Bulletin, AccessEcon, vol. 5(14), pages 1-10.
    14. Santos, Manuel S., 2003. "Simulation-based estimation of dynamic models with continuous equilibrium solutions," UC3M Working papers. Economics we034716, Universidad Carlos III de Madrid. Departamento de Economía.
    15. Santos, Manuel S., 2004. "Simulation-based estimation of dynamic models with continuous equilibrium solutions," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 465-491, June.
    16. Wei-Bin ZHANG, 2015. "Tourism, Trade And Wealth Accumulation With Endogenous Income And Wealth Distribution Among Countries," EcoForum, "Stefan cel Mare" University of Suceava, Romania, Faculty of Economics and Public Administration - Economy, Business Administration and Tourism Department., vol. 4(1), pages 1-1, January.
    17. García-Belenguer, Fernando, 2006. "Stability, Global Dynamics and Markov Equilibrium in Models of Economic Growth," Working Papers in Economic Theory 2006/05, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    18. Wei-Bin Zhang, 2010. "Growth, economic structure, and residential distribution of a small city," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 57(1), pages 47-78, March.
    19. Manuel Santos, "undated". "On Non-Existence of Markov Equilibria in Competitive-Market Economies," Working Papers 2133305, Department of Economics, W. P. Carey School of Business, Arizona State University.
    20. Wei-Bin ZHANG, 2016. "Tourism and economic structural change with endogenous wealth and human capital and elastic labor supply," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(4(609), W), pages 103-126, Winter.
    21. Prof. Wei-Bin Zhang, 2015. "Economic Oscillations in a Multi-Country Growth Model with Free Trade and Tourism," Eurasian Business & Economics Journal, Eurasian Academy Of Sciences, vol. 2(2), pages 1-19, July.
    22. Wei-Bin ZHANG, 2016. "Tourism and economic structural change with endogenous wealth and human capital and elastic labor supply," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(4(609), W), pages 103-126, Winter.

    More about this item

    JEL classification:

    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

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