IDEAS home Printed from https://ideas.repec.org/p/bdi/wptemi/td_413_01.html
   My bibliography  Save this paper

Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting

Author

Listed:
  • Per Krusell

    (University of Rochester)

  • Burhanettin Kuruscu

    (University of Rochester)

  • Anthony A. Smith Jr.

    (Carnegie Mellon University)

Abstract

We consider a representative-agent equilibrium model where the consumer has quasi geometric discounting and cannot commit to future actions. We restrict attention to a parametric class for preferences and technology and solve for time-consistent competitive equilibria globally and explicitly. We then characterize the welfare properties of competitive equilibria and compare them to that of a planning problem. The planner is a consumer representative who, without commitment but in a time-consistent way, maximizes his presentvalue utility subject to resource constraints. The competitive equilibrium results in strictly higher welfare than does the planning problem whenever the discounting is not geometric.

Suggested Citation

  • Per Krusell & Burhanettin Kuruscu & Anthony A. Smith Jr., 2001. "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," Temi di discussione (Economic working papers) 413, Bank of Italy, Economic Research and International Relations Area.
  • Handle: RePEc:bdi:wptemi:td_413_01
    as

    Download full text from publisher

    File URL: http://www.bancaditalia.it/pubblicazioni/temi-discussione/2001/2001-0413/tema_413_01.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kenneth Rogoff, 1985. "The Optimal Degree of Commitment to an Intermediate Monetary Target," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(4), pages 1169-1189.
    2. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    3. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    4. David I. Laibson & Andrea Repetto & Jeremy Tobacman, 1998. "Self-Control and Saving for Retirement," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 29(1), pages 91-196.
    5. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    6. Per Krusell & Burhanettin Kuruşçu & Anthony A. Smith Jr., 2010. "Temptation and Taxation," Econometrica, Econometric Society, vol. 78(6), pages 2063-2084, November.
    7. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self-Control and the Theory of Consumption," Econometrica, Econometric Society, vol. 72(1), pages 119-158, January.
    8. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    9. Robert J. Barro, 1999. "Ramsey Meets Laibson in the Neoclassical Growth Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(4), pages 1125-1152.
    10. David I. Laibson, 1996. "Hyperbolic Discount Functions, Undersaving, and Savings Policy," NBER Working Papers 5635, National Bureau of Economic Research, Inc.
    11. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    12. Jose-Victor Rios-Rull & Per Krusell, 1999. "On the Size of U.S. Government: Political Economy in the Neoclassical Growth Model," American Economic Review, American Economic Association, vol. 89(5), pages 1156-1181, December.
    13. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
    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. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414, National Bureau of Economic Research, Inc.
    2. Salanie, Francois & Treich, Nicolas, 2006. "Over-savings and hyperbolic discounting," European Economic Review, Elsevier, vol. 50(6), pages 1557-1570, August.
    3. Alexander Zimper & Alexander Ludwig & Max Groneck, 2012. "A Life-Cycle Consumption Model with Ambiguous Survival Beliefs," 2012 Meeting Papers 693, Society for Economic Dynamics.
    4. Nakajima, Makoto, 2017. "Assessing bankruptcy reform in a model with temptation and equilibrium default," Journal of Public Economics, Elsevier, vol. 145(C), pages 42-64.
    5. Jianjun Miao, 2008. "Option exercise with temptation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 473-501, March.
    6. Liya Liu & Yingjie Niu & Yuanping Wang & Jinqiang Yang, 2020. "Optimal consumption with time-inconsistent preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 785-815, October.
    7. Kevin X.D. Huang & Zheng Liu & John Qi Zhu, 2015. "Temptation and Self‐Control: Some Evidence and Applications," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(4), pages 581-615, June.
    8. Minwook Kang, 2019. "Pareto-improving tax policies under hyperbolic discounting," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 26(3), pages 618-660, June.
    9. Kevin X.D. Huang & Zheng Liu, 2005. "Temptation and Self-Control: Some Evidence from the Consumer Expenditure Survey," 2005 Meeting Papers 770, Society for Economic Dynamics.
    10. Kang, Jingoo & Kang, Minwook, 2022. "Durable goods as commitment devices under quasi-hyperbolic discounting," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    11. Chatterjee, Satyajit & Eyigungor, Burcu, 2016. "Continuous Markov equilibria with quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 163(C), pages 467-494.
    12. Hanming Fang & Dan Silverman, 2009. "Time-Inconsistency And Welfare Program Participation: Evidence From The Nlsy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(4), pages 1043-1077, November.
    13. Tran, Chung, 2018. "Temptation and taxation with elastic labor," Economic Modelling, Elsevier, vol. 70(C), pages 351-369.
    14. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2013. "Ambiguous Survival Beliefs and Hyperbolic Discounting in a Life-Cycle Model," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79878, Verein für Socialpolitik / German Economic Association.
    15. Camilo Hern'andez & Dylan Possamai, 2020. "Me, myself and I: a general theory of non-Markovian time-inconsistent stochastic control for sophisticated agents," Papers 2002.12572, arXiv.org, revised Jul 2021.
    16. Eisenbach, Thomas M. & Schmalz, Martin C., 2016. "Anxiety in the face of risk," Journal of Financial Economics, Elsevier, vol. 121(2), pages 414-426.
    17. Lilia Maliar & Serguei Maliar, 2016. "Ruling Out Multiplicity of Smooth Equilibria in Dynamic Games: A Hyperbolic Discounting Example," Dynamic Games and Applications, Springer, vol. 6(2), pages 243-261, June.
    18. Hammond, Peter J & Zank, Horst, 2013. "Rationality and Dynamic Consistency under Risk and Uncertainty," The Warwick Economics Research Paper Series (TWERPS) 1033, University of Warwick, Department of Economics.
    19. Makoto Nakajima, 2013. "A tale of two commitments: equilibrium default and temptation," Working Papers 14-1, Federal Reserve Bank of Philadelphia.
    20. Lilia Maliar & Serguei Maliar, 2003. "Heterogeneity In The Degree Of Quasi-Geometric Discounting: The Distributional Implications," Working Papers. Serie AD 2003-28, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

    More about this item

    Keywords

    quasi-geometric discounting; markov equilibrium; taxation; time-consistent policy;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

    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:bdi:wptemi:td_413_01. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bdigvit.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.