IDEAS home Printed from https://ideas.repec.org/p/zbw/bofrdp/rdp2004_029.html
   My bibliography  Save this paper

Equilibrium dynamics under lump-sum taxation in an exchange economy with skewed endowments

Author

Listed:
  • Puhakka, Mikko

Abstract

I explore the dynamics in overlapping generations models with pure exchange and lump-sum taxes, when the second period after tax endowment is negative, and contrast the characteristics of equilibria to those of models with positive after tax endowments. In particular, if the intertemporal elasticity of substitution is less than unity, there can be only a two cycle or stable (ie indeterminate) equilibria for certain parameter values.With this value for that elasticity chaos and a cycle of any order can occur in a model with regular endowments.In a sense the lump-sum taxation in this model operates as a stabilizing device.The precise stability condition holds with a small discount factor and in economies with relatively high taxes in the first period.If the intertemporal elasticity of substitution is greater than unity, the steady state equilibria are unstable, and thus determinate, as is the case with the regular model.

Suggested Citation

  • Puhakka, Mikko, 2004. "Equilibrium dynamics under lump-sum taxation in an exchange economy with skewed endowments," Bank of Finland Research Discussion Papers 29/2004, Bank of Finland.
  • Handle: RePEc:zbw:bofrdp:rdp2004_029
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/211996/1/bof-rdp2004-029.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    2. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    3. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. III. The case of log-linear utility functions," Journal of Economic Theory, Elsevier, vol. 24(1), pages 143-152, February.
    4. Joydeep Bhattacharya & Joseph H. Haslag, 2001. "On the Use of the Inflation Tax When Nondistortionary Taxes Are Available," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 823-841, October.
    5. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, October.
    6. repec:zbw:bofrdp:2004_002 is not listed on IDEAS
    7. Cass, David & Okuno, Masahiro & Zilcha, Itzhak, 1979. "The role of money in supporting the pareto optimality of competitive equilibrium in consumption-loan type models," Journal of Economic Theory, Elsevier, vol. 20(1), pages 41-80, February.
    8. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    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. Koskela, Erkki & Puhakka, Mikko, 2007. "Stone-Geary preferences in overlapping generations economies under pure exchange: A note," Journal of Macroeconomics, Elsevier, vol. 29(4), pages 976-982, December.
    2. 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.
    3. Lahiri, Amartya & Puhakka, Mikko, 1998. "Habit Persistence in Overlapping Generations Economies under Pure Exchange," Journal of Economic Theory, Elsevier, vol. 78(1), pages 176-186, January.
    4. Pingle, Mark & Tesfatsion, Leigh, 1998. "Active intermediation in a monetary overlapping generations economy1," Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1543-1574, August.
    5. Erkki Koskela & Mikko Puhakka, 2006. "Indeterminacy and Stabilization of Endogenous Cycles with Balanced-Budget Distortionary Taxation," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 62(2), pages 149-167, June.
    6. Erkki Koskela & Mikko Puhakka, 2003. "Stabilizing Competitive Cycles with Distortionary Taxation," CESifo Working Paper Series 947, CESifo.
    7. Cazzavillan, Guido & Pintus, Patrick A., 2005. "On competitive cycles and sunspots in productive economies with a positive money stock," Research in Economics, Elsevier, vol. 59(2), pages 137-147, June.
    8. Fabrizio Orrego, 2014. "Habit formation and indeterminacy in overlapping generations models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 225-241, January.
    9. Brent Hueth & Maro Ibarburu & James Kliebenstein, 2005. "Business Organization and Coordination in Marketing Specialty Hogs: A Comparative Analysis of Two Firms from Iowa," Center for Agricultural and Rural Development (CARD) Publications 05-wp415, Center for Agricultural and Rural Development (CARD) at Iowa State University.
    10. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    11. Erkki Koskela & Mikko Puhakka, 2006. "Cycles and Indeterminacy in Overlapping Generations Economies with Stone-Geary Preferences," CESifo Working Paper Series 1737, CESifo.
    12. Austin, D. Andrew, 1999. "Social Security as an Economic Stabilization Program," Journal of Macroeconomics, Elsevier, vol. 21(2), pages 309-333, April.
    13. Tvede Mich, 2009. "Fluctuations in Overlapping Generations Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-19, May.
    14. Farmer, Roger E.A. & Zabczyk, Pawel, 2018. "The household fallacy," Economics Letters, Elsevier, vol. 169(C), pages 83-86.
    15. Bossi, Luca & Gomis-Porqueras, Pere, 2009. "Consequences Of Modeling Habit Persistence," Macroeconomic Dynamics, Cambridge University Press, vol. 13(3), pages 349-365, June.
    16. Takuma Kunieda & Akihisa Shibata, 2011. "Endogenous Growth and Fluctuations in an Overlapping Generations Economy with Credit Market Imperfections," Asia-Pacific Journal of Accounting & Economics, Taylor & Francis Journals, vol. 18(3), pages 333-357.
    17. Takuma Kunieda & Akihisa Shibata, 2014. "Credit Market Imperfections and Macroeconomic Instability," Pacific Economic Review, Wiley Blackwell, vol. 19(5), pages 592-611, December.
    18. Tomohiro HIRANO & Joseph E. Stiglitz, 2021. "The Wobbly Economy; Global Dynamics with Phase Transitions and State Transitions," CIGS Working Paper Series 21-008E, The Canon Institute for Global Studies.
    19. Jorgen Jacobsen, Hans, 2000. "Endogenous, imperfectly competitive business cycles," European Economic Review, Elsevier, vol. 44(2), pages 305-336, February.
    20. Arifovic, Jasmina & Hommes, Cars & Salle, Isabelle, 2019. "Learning to believe in simple equilibria in a complex OLG economy - evidence from the lab," Journal of Economic Theory, Elsevier, vol. 183(C), pages 106-182.

    More about this item

    Keywords

    overlapping generations economy; saving; cycles; lump-sum taxation;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    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:zbw:bofrdp:rdp2004_029. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/bofgvfi.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.