IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/22007.html
   My bibliography  Save this paper

Dynamic Savings Choices with Disagreements

Author

Listed:
  • Dan Cao
  • Iván Werning

Abstract

We study a flexible dynamic savings game in continuous time, where decision makers rotate in and out of power. These agents value spending more highly while in power creating a time-inconsistency problem. We provide a sharp characterization of Markov equilibria. Our analysis proceeds by construction and isolates the importance of a local disagreement index, `beta(c)`, defined as the ratio of marginal utility for those in and out of power. If disagreement is constant the model specializes to hyperbolic discounting. We also provide novel results for this case, offering a complete and simple characterization of equilibria. For the general model we shoe that dissaving occurs when disagreements are sufficiently high, while saving occurs when disagreements are sufficiently low. When disagreements vary sufficiently with spending, richer dynamics are possible. We provide conditions for continuous equilibria and also show that the model can be inverted for primitives that support any smooth consumption function. Our framework applies to individuals under a behavioral interpretation or to governments under a political-economy interpretation.

Suggested Citation

  • Dan Cao & Iván Werning, 2016. "Dynamic Savings Choices with Disagreements," NBER Working Papers 22007, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:22007
    Note: DEV EFG PE
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w22007.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Marco Battaglini & Stephen Coate, 2008. "A Dynamic Theory of Public Spending, Taxation, and Debt," American Economic Review, American Economic Association, vol. 98(1), pages 201-236, March.
    2. Abhijit Banerjee & Sendhil Mullainathan, 2010. "The Shape of Temptation: Implications for the Economic Lives of the Poor," NBER Working Papers 15973, National Bureau of Economic Research, Inc.
    3. Marina Azzimonti, 2011. "Barriers to Investment in Polarized Societies," American Economic Review, American Economic Association, vol. 101(5), pages 2182-2204, August.
    4. Jinhui H. Bai & Roger Lagunoff, 2011. "On the Faustian Dynamics of Policy and Political Power," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 17-48.
    5. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    6. 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.
    7. Chatterjee, Satyajit & Eyigungor, Burcu, 2016. "Continuous Markov equilibria with quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 163(C), pages 467-494.
    8. Alberto Alesina & Guido Tabellini, 1990. "A Positive Theory of Fiscal Deficits and Government Debt," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 403-414.
    9. Torsten Persson & Lars E. O. Svensson, 1989. "Why a Stubborn Conservative would Run a Deficit: Policy with Time-Inconsistent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 325-345.
    10. Cao, Dan, 2014. "Racing under uncertainty: Boundary value problem approach," Journal of Economic Theory, Elsevier, vol. 151(C), pages 508-527.
    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. Doruk Cetemen & Felix Zhiyu Feng & Can Urgun, 2019. "Contracting with Non-Exponential Discounting: Moral Hazard and Dynamic Inconsistency," Working Papers 2019-17, Princeton University. Economics Department..
    2. 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.
    3. Doval, Laura & Skreta, Vasiliki, 0. "Optimal mechanism for the sale of a durable good," Theoretical Economics, Econometric Society.
    4. Barczyk, Daniel & Kredler, Matthias, 2021. "Blast from the past: The altruism model is richer than you think," Journal of Economic Theory, Elsevier, vol. 198(C).
    5. Xue Dong He & Zhaoli Jiang & Steven Kou, 2020. "Portfolio Selection under Median and Quantile Maximization," Papers 2008.10257, arXiv.org, revised Mar 2021.
    6. Dan Cao & Iván Werning, 2018. "Saving and Dissaving With Hyperbolic Discounting," Econometrica, Econometric Society, vol. 86(3), pages 805-857, May.
    7. Xue Dong He & Xun Yu Zhou, 2021. "Who Are I: Time Inconsistency and Intrapersonal Conflict and Reconciliation," Papers 2105.01829, arXiv.org.

    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. Chatterjee, Satyajit & Eyigungor, Burcu, 2016. "Continuous Markov equilibria with quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 163(C), pages 467-494.
    2. T. Renee Bowen & Ying Chen & H?lya Eraslan, 2014. "Mandatory versus Discretionary Spending: The Status Quo Effect," American Economic Review, American Economic Association, vol. 104(10), pages 2941-2974, October.
    3. Li, Yuan & Yang, Jinqiang & Zhao, Siqi, 2022. "Present-biased government and sovereign debt dynamics," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    4. Dan Cao & Iván Werning, 2018. "Saving and Dissaving With Hyperbolic Discounting," Econometrica, Econometric Society, vol. 86(3), pages 805-857, May.
    5. Timothy Besley & Ethan Ilzetzki & Torsten Persson, 2013. "Weak States and Steady States: The Dynamics of Fiscal Capacity," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(4), pages 205-235, October.
    6. Andina-Díaz, Ascensión & Feri, Francesco & Meléndez-Jiménez, Miguel A., 2021. "Institutional flexibility, political alternation, and middle-of-the-road policies," Journal of Public Economics, Elsevier, vol. 204(C).
    7. Marina Halac & Pierre Yared, 2017. "Fiscal Rules and Discretion under Self-Enforcement," NBER Working Papers 23919, National Bureau of Economic Research, Inc.
    8. Timothy Besley & Torsten Persson, 2011. "Pillars of Prosperity: The Political Economics of Development Clusters," Economics Books, Princeton University Press, edition 1, number 9624.
    9. Marina Azzimonti, 2015. "The dynamics of public investment under persistent electoral advantage," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(3), pages 653-678, July.
    10. Ales, Laurence & Maziero, Pricila & Yared, Pierre, 2014. "A theory of political and economic cycles," Journal of Economic Theory, Elsevier, vol. 153(C), pages 224-251.
    11. Marina Halac & Pierre Yared, 2014. "Fiscal Rules and Discretion Under Persistent Shocks," Econometrica, Econometric Society, vol. 82, pages 1557-1614, September.
    12. Grechyna, Daryna, 2016. "Political frictions and public policy outcomes," Journal of Comparative Economics, Elsevier, vol. 44(3), pages 484-495.
    13. Marina Halac & Pierre Yared, 2022. "Fiscal Rules and Discretion Under Limited Enforcement," Econometrica, Econometric Society, vol. 90(5), pages 2093-2127, September.
    14. Satyajit Chatterjee & Burcu Eyigungor, 2023. "The Changing Polarization of Party Ideologies: The Role of Sorting," Working Papers 23-07, Federal Reserve Bank of Philadelphia.
    15. Jon Fiva & Gisle Natvik, 2013. "Do re-election probabilities influence public investment?," Public Choice, Springer, vol. 157(1), pages 305-331, October.
    16. Marina Azzimonti, 2010. "Political ideology as a source of business cycles," 2010 Meeting Papers 647, Society for Economic Dynamics.
    17. Vu, Trung V., 2022. "Unbundling the effect of political instability on income redistribution," European Journal of Political Economy, Elsevier, vol. 75(C).
    18. Nunnari, Salvatore & Zápal, Jan, 2017. "Dynamic Elections and Ideological Polarization," Political Analysis, Cambridge University Press, vol. 25(4), pages 505-534, October.
    19. Grechyna, Daryna, 2021. "Mandatory spending, political polarization, and macroeconomic volatility," European Journal of Political Economy, Elsevier, vol. 68(C).
    20. Marina Azzimonti, 2011. "Barriers to Investment in Polarized Societies," American Economic Review, American Economic Association, vol. 101(5), pages 2182-2204, August.

    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • I3 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty
    • O12 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development

    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:nbr:nberwo:22007. 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/nberrus.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.