IDEAS home Printed from https://ideas.repec.org/p/rbp/wpaper/2011-013.html
   My bibliography  Save this paper

Habit formation and sunspots in overlapping generations models

Author

Listed:
  • Orrego, Fabrizio

    () (Carnegie Mellon University and Central Bank of Peru.)

Abstract

I introduce habit formation into an otherwise standard overlapping generations economy with pure exchange populated by three-period-lived agents. Habits are modeled in such a way that current consumption increases the marginal utility of future consumption. With logarithmic utility functions, I demonstrate that habit formation may give rise to stable monetary steady states in economies with hump-shaped endowment pro les and reasonably high discount factors. Intuitively, habits imply adjacent complementarity in consumption, which in turn helps explain why income effects are sufficiently strong in spite of logarithmic utility. The longer horizon further strengthens the income effect. Finally, I use the bootstrap method to construct stationary sunspot equilibria for those economies in which the steady state is locally stable.

Suggested Citation

  • Orrego, Fabrizio, 2011. "Habit formation and sunspots in overlapping generations models," Working Papers 2011-013, Banco Central de Reserva del Perú.
  • Handle: RePEc:rbp:wpaper:2011-013
    as

    Download full text from publisher

    File URL: https://www.bcrp.gob.pe/docs/Publicaciones/Documentos-de-Trabajo/2011/Documento-de-Trabajo-13-2011.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Fuente,Angel de la, 2000. "Mathematical Methods and Models for Economists," Cambridge Books, Cambridge University Press, number 9780521585293.
    2. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    3. Bossi, Luca & Gomis-Porqueras, Pere, 2009. "Consequences Of Modeling Habit Persistence," Macroeconomic Dynamics, Cambridge University Press, vol. 13(3), pages 349-365, June.
    4. Kehoe, Timothy J. & Levine, David K., 1990. "The economics of indeterminacy in overlapping generations models," Journal of Public Economics, Elsevier, vol. 42(2), pages 219-243, July.
    5. John Duffy & Eric O'N. Fisher, 2005. "Sunspots in the Laboratory," American Economic Review, American Economic Association, vol. 95(3), pages 510-529, June.
    6. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    7. 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.
    8. Balasko, Yves & Cass, David & Shell, Karl, 1980. "Existence of competitive equilibrium in a general overlapping-generations model," Journal of Economic Theory, Elsevier, vol. 23(3), pages 307-322, December.
    9. Kareen Rozen, 2010. "Foundations of Intrinsic Habit Formation," Econometrica, Econometric Society, vol. 78(4), pages 1341-1373, July.
    10. Costas Azariadis & Luisa Lambertini, 2003. "Endogenous Debt Constraints in Lifecycle Economies," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 461-487.
    11. Author-Name: John Geanakoplos & Michael Magill & Martine Quinzii, 2004. "Demography and the Long-Run Predictability of the Stock Market," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(1), pages 241-326.
    12. Bhattacharya, Joydeep & Russell, Steven, 2003. "Two-period cycles in a three-period overlapping generations model," Journal of Economic Theory, Elsevier, vol. 109(2), pages 378-401, April.
    13. Bunzel, Helle, 2006. "Habit persistence, money, and overlapping generations," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2425-2445, December.
    14. Azariadis, Costas & Bullard, James & Ohanian, Lee, 2004. "Trend-reverting fluctuations in the life-cycle model," Journal of Economic Theory, Elsevier, vol. 119(2), pages 334-356, December.
    15. Spear, Stephen E. & Srivastava, Sanjay & Woodford, Michael, 1990. "Indeterminacy of stationary equilibrium in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 50(2), pages 265-284, April.
    16. Tullio Jappelli & Marco Pagano, 1994. "Saving, Growth, and Liquidity Constraints," The Quarterly Journal of Economics, Oxford University Press, vol. 109(1), pages 83-109.
    17. Spear, Stephen E, 1989. "Are Sunspots Necessary?," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 965-973, August.
    18. 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.
    19. Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Woodford, Michael, 1991. "Gross substitutability in large-square economies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 1-25, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.

    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. 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.
    2. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    3. Orrego, Fabrizio, 2011. "Demografía y precios de activos," Revista Estudios Económicos, Banco Central de Reserva del Perú, issue 22, pages 83-101.
    4. 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.
    5. Barnett, Richard C. & Bhattacharya, Joydeep & Bunzel, Helle, 2010. "Resurrecting equilibria through cycles in an overlapping generations model of money," Journal of Macroeconomics, Elsevier, vol. 32(2), pages 515-526, June.
    6. Barnett, Richard C. & Bhattacharya, Joydeep, 2008. "Rejuveniles and growth," European Economic Review, Elsevier, vol. 52(6), pages 1055-1071, August.
    7. 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.
    8. Erkki Koskela & Mikko Puhakka, 2006. "Cycles and Indeterminacy in Overlapping Generations Economies with Stone-Geary Preferences," CESifo Working Paper Series 1737, CESifo.
    9. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, September.
    10. repec:spr:compst:v:77:y:2013:i:3:p:445-457 is not listed on IDEAS
    11. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2015. "Local determinacy of prices in an overlapping generations model with continuous trading," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 16-24.
    12. Zhigang Feng, 2013. "Tackling indeterminacy in overlapping generations models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(3), pages 445-457, June.
    13. Goenka, Aditya & Kelly, David L. & Spear, Stephen E., 1998. "Endogenous Strategic Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 97-125, July.
    14. Bossi, Luca & Gomis-Porqueras, Pere, 2009. "Consequences Of Modeling Habit Persistence," Macroeconomic Dynamics, Cambridge University Press, vol. 13(3), pages 349-365, June.
    15. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, April.
    16. Etro, Federico, 2017. "Research in economics and macroeconomics," Research in Economics, Elsevier, vol. 71(3), pages 373-383.
    17. Dimitrios Varvarigos, 2013. "Endogenous Cycles and Human Capital," Discussion Papers in Economics 13/18, Division of Economics, School of Business, University of Leicester.
    18. Zhigang Feng & Matthew Hoelle, 2017. "Indeterminacy in stochastic overlapping generations models: real effects in the long run," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 559-585, February.
    19. Erasmo Papagni, 2008. "The Long-run Effects of Household Liquidity Constraints and Taxation on Fertility, Education, Saving, and Growth," Discussion Papers 11_2008, D.E.S. (Department of Economic Studies), University of Naples "Parthenope", Italy.
    20. Hippolyte d'Albis & Emmanuelle Augeraud-véron, 2009. "Competitive Growth In A Life-Cycle Model: Existence And Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 459-484, May.
    21. Timothy J. Kehoe & David K. Levine & Andreu Mas-Colell & Michael Woodford, 1991. "Gross Substitutes in Large Square Economics," Levine's Working Paper Archive 2057, David K. Levine.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:rbp:wpaper:2011-013. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Research Unit). General contact details of provider: https://edirc.repec.org/data/bcrgvpe.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.