IDEAS home Printed from https://ideas.repec.org/a/ecm/emetrp/v59y1991i4p1091-1104.html
   My bibliography  Save this article

Equilibrium in a Production Economy with an Income Tax

Author

Listed:
  • Coleman, Wilbur John, II

Abstract

This paper develops a method to study an infinite-horizon production economy distorted by a state-dependent income tax. This setting permits taxes to depend on the capital stock, an endogenous state variable, and thus captures situations where the evolution for capital and taxes is jointly determined. To solve this model, the consumption function is represented as a fixed point of a nonlinear monotone operator that is defined such that its nth iteration computes the consumption function n steps away from the horizon for a corresponding finite-horizon economy. The oparator's monotonicity is exploited in proving the existence of, and constructing, an equilibrium. Copyright 1991 by The Econometric Society.

Suggested Citation

  • Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
  • Handle: RePEc:ecm:emetrp:v:59:y:1991:i:4:p:1091-1104
    as

    Download full text from publisher

    File URL: http://links.jstor.org/sici?sici=0012-9682%28199107%2959%3A4%3C1091%3AEIAPEW%3E2.0.CO%3B2-3&origin=repec
    File Function: full text
    Download Restriction: Access to full text is restricted to JSTOR subscribers. See http://www.jstor.org for details.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992. "On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 43-68, January.
    2. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    3. Becker, Robert A., 1985. "Capital income taxation and perfect foresight," Journal of Public Economics, Elsevier, vol. 26(2), pages 147-167, March.
    4. Goulder, Lawrence H. & Summers, Lawrence H., 1989. "Tax policy, asset prices, and growth : A general equilibrium analysis," Journal of Public Economics, Elsevier, vol. 38(3), pages 265-296, April.
    5. Abel, Andrew B & Blanchard, Olivier J, 1983. "An Intertemporal Model of Saving and Investment," Econometrica, Econometric Society, vol. 51(3), pages 675-692, May.
    6. Bizer, David S & Judd, Kenneth L, 1989. "Taxation and Uncertainty," American Economic Review, American Economic Association, vol. 79(2), pages 331-336, May.
    7. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    8. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    9. Jeremy Greenwood & Gregory W. Huffman, 1989. "Tax analysis in a dynamic stochastic model: on measuring Harberger triangles and Okun gaps," Research Working Paper 89-01, Federal Reserve Bank of Kansas City.
    10. McKenzie, Lionel W, 1981. "The Classical Theorem on Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 49(4), pages 819-841, June.
    11. 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.
    12. Jerusalem D. Levhari & T. N. Srinivasan, 1969. "Optimal Savings under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(2), pages 153-163.
    13. Richard Beals & Tjalling C. Koopmans, 1967. "Maximizing Stationary Utility in a Constant Technology," Cowles Foundation Discussion Papers 229, Cowles Foundation for Research in Economics, Yale University.
    14. Brock, William A & Turnovsky, Stephen J, 1981. "The Analysis of Macroeconomic Policies in Perfect Foresight Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(1), pages 179-209, February.
    15. Timothy J. Kehoe & David K. Levine & Paul Romer, 1992. "On Characterizing Equilibria of Models with Externalities and Taxes as Solutions to Optimization Problems," Levine's Working Paper Archive 124, David K. Levine.
    16. Danthine, Jean-Pierre & Donaldson, John B., 1985. "A note on the effects of capital income taxation on the dynamics of a competitive economy," Journal of Public Economics, Elsevier, vol. 28(2), pages 255-265, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Larry E. Jones & Rodolfo E. Manuelli & Ennio Stacchetti, 1999. "Technology (and Policy) Shocks in Models of Endogenous Growth," NBER Working Papers 7063, National Bureau of Economic Research, Inc.
    2. Wilbur John Coleman, 1988. "Money, interest, and capital in a cash-in-advance economy," International Finance Discussion Papers 323, Board of Governors of the Federal Reserve System (U.S.).
    3. 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.
    4. Manjira Datta & Leonard Mirman & Olivier Morand & Kevin Reffett, 2002. "Monotone Methods for Markovian Equilibrium in Dynamic Economies," Annals of Operations Research, Springer, vol. 114(1), pages 117-144, August.
    5. Larry E. Jones & Rodolfo Manuelli, 1990. "A Convex Model of Equilibrium Growth," NBER Working Papers 3241, National Bureau of Economic Research, Inc.
    6. Michael Dotsey & Ching Sheng Mo, 1994. "The effects of fiscal policy in a neoclassical growth model," Working Paper 94-03, Federal Reserve Bank of Richmond.
    7. 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.
    8. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
    9. Posch, Olaf, 2011. "Explaining output volatility: The case of taxation," Journal of Public Economics, Elsevier, vol. 95(11), pages 1589-1606.
    10. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, April.
    11. Mitra, Tapan & Roy, Santanu, 2017. "Optimality of Ramsey–Euler policy in the stochastic growth model," Journal of Economic Theory, Elsevier, vol. 172(C), pages 1-25.
    12. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007, Elsevier.
    13. Lars J. Olson & Santanu Roy, 2006. "Theory of Stochastic Optimal Economic Growth," Springer Books, in: Rose-Anne Dana & Cuong Le Van & Tapan Mitra & Kazuo Nishimura (ed.), Handbook on Optimal Growth 1, chapter 11, pages 297-335, Springer.
    14. 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.
    15. Michael Woodford, 1990. "Equilibrium Models of Endogenous Fluctuations: an Introduction," NBER Working Papers 3360, National Bureau of Economic Research, Inc.
    16. Joshi, Sumit, 1997. "Martingale analysis of dynamic tax incidence in a nonstationary growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 371-389.
    17. Datta, Manjira & Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2005. "Markovian equilibrium in infinite horizon economies with incomplete markets and public policy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 505-544, August.
    18. Joshi, Sumit, 1995. "Recursive utility and optimal growth under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 24(6), pages 601-617.
    19. Hugo Cruz-Suárez & Raúl Montes-de-Oca, 2008. "An envelope theorem and some applications to discounted Markov decision processes," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 67(2), pages 299-321, April.
    20. Jones, Larry E. & Manuelli, Rodolfo E., 2005. "Neoclassical Models of Endogenous Growth: The Effects of Fiscal Policy, Innovation and Fluctuations," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 1, pages 13-65, Elsevier.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ecm:emetrp:v:59:y:1991:i:4:p:1091-1104. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.