g does not always lead to an endless inequality spiral."> g"> g"> g does not always lead to an endless inequality spiral."> g, by Yannick Malevergne; Didie">
Nothing Special   »   [go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/chf/rpseri/rp1669.html
   My bibliography  Save this paper

Wealth and Income Inequalities ← → r > g

Author

Listed:
  • Yannick Malevergne

    (Université Paris)

  • Didier Sornette

    (ETH Zurich and Swiss Finance Institute)

Abstract
Piketty’s Capital in the Twenty-First Century posits the return r on capital to be larger than the economic growth rate g as a main driver of inequalities. This article points out the circumstances under which the reverse inference holds. We show that increasing inequality promotes increasing gap r-g, and vice-versa, because capital is a cumulative quantity that claims a finite fraction of the total output in the presence of fractional consumption of the return on capital. However economies do exist for which large inequalities tend to curb r-g, thus proving that r > g does not always lead to an endless inequality spiral.

Suggested Citation

  • Yannick Malevergne & Didier Sornette, 2016. "Wealth and Income Inequalities ← → r > g," Swiss Finance Institute Research Paper Series 16-69, Swiss Finance Institute.
  • Handle: RePEc:chf:rpseri:rp1669
    as

    Download full text from publisher

    File URL: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2878645
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Broadberry,Stephen & Campbell,Bruce M. S. & Klein,Alexander & Overton,Mark & van Leeuwen,Bas, 2015. "British Economic Growth, 1270–1870," Cambridge Books, Cambridge University Press, number 9781107070783, October.
    3. Nicholas Kaldor, 1955. "Alternative Theories of Distribution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(2), pages 83-100.
    4. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2011. "The Distribution of Wealth and Fiscal Policy in Economies With Finitely Lived Agents," Econometrica, Econometric Society, vol. 79(1), pages 123-157, January.
    5. Havranek, Tomas & Horvath, Roman & Irsova, Zuzana & Rusnak, Marek, 2015. "Cross-country heterogeneity in intertemporal substitution," Journal of International Economics, Elsevier, vol. 96(1), pages 100-118.
    6. Thomas Piketty & Emmanuel Saez, 2013. "A Theory of Optimal Inheritance Taxation," Econometrica, Econometric Society, vol. 81(5), pages 1851-1886, September.
    7. Guglielmo Barone & Sauro Mocetti, 2021. "Intergenerational Mobility in the Very Long Run: Florence 1427–2011 [Intergenerational Economic Mobility in the United States, 1940 to 2000]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 1863-1891.
    8. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2014. "The Wealth Distribution in Bewley Models with Investment Risk," NBER Working Papers 20157, National Bureau of Economic Research, Inc.
    9. Nirei, Makoto & 楡井, 誠, 2009. "Pareto Distributions in Economic Growth Models," IIR Working Paper 09-05, Institute of Innovation Research, Hitotsubashi University.
    10. Daron Acemoglu & James A. Robinson, 2015. "The Rise and Decline of General Laws of Capitalism," Journal of Economic Perspectives, American Economic Association, vol. 29(1), pages 3-28, Winter.
    11. N. Gregory Mankiw, 2015. "Yes, r > g. So What?," American Economic Review, American Economic Association, vol. 105(5), pages 43-47, May.
    12. Per Krusell & Anthony A. Smith Jr., 2015. "Is Piketty's "Second Law of Capitalism" Fundamental?," Journal of Political Economy, University of Chicago Press, vol. 123(4), pages 725-748.
    13. Fogel, Robert W, 1994. "Economic Growth, Population Theory, and Physiology: The Bearing of Long-Term Processes on the Making of Economic Policy," American Economic Review, American Economic Association, vol. 84(3), pages 369-395, June.
    14. Gregory Clark, 2015. "The Son Also Rises: Surnames and the History of Social Mobility," Economics Books, Princeton University Press, edition 1, number 10181-2.
    15. Clark, Gregory, 1988. "The cost of capital and medieval agricultural technique," Explorations in Economic History, Elsevier, vol. 25(3), pages 265-294, July.
    16. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    17. Stiglitz, Joseph E, 1969. "Distribution of Income and Wealth among Individuals," Econometrica, Econometric Society, vol. 37(3), pages 382-397, July.
    18. Adam Przeworski & Fernando Limongi, 1993. "Political Regimes and Economic Growth," Journal of Economic Perspectives, American Economic Association, vol. 7(3), pages 51-69, Summer.
    19. Benveniste, L. M. & Scheinkman, J. A., 1982. "Duality theory for dynamic optimization models of economics: The continuous time case," Journal of Economic Theory, Elsevier, vol. 27(1), pages 1-19, June.
    20. Shuhei Aoki & Makoto Nirei, 2016. "Pareto Distribution of Income in Neoclassical Growth Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 25-42, April.
    21. repec:hal:pseose:halshs-00879813 is not listed on IDEAS
    22. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    23. Epstein, Larry G & Hynes, J Allan, 1983. "The Rate of Time Preference and Dynamic Economic Analysis," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 611-635, August.
    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. Fischer, Thomas, 2017. "Thomas Piketty and the rate of time preference," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 111-133.
    2. Per Krusell & Anthony Smith & Joachim Hubmer, 2015. "The historical evolution of the wealth distribution: A quantitative-theoretic investigation," 2015 Meeting Papers 1406, Society for Economic Dynamics.
    3. MADSEN, Jakob B, 2018. "Is Inequality Increasing in r-g? The Dynamics of Capital’s Income Share in the UK, 1210-2013," Discussion paper series HIAS-E-70, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    4. Xavier Gabaix & Jean‐Michel Lasry & Pierre‐Louis Lions & Benjamin Moll, 2016. "The Dynamics of Inequality," Econometrica, Econometric Society, vol. 84, pages 2071-2111, November.
    5. Bonnet, Odran & Chapelle, Guillaume & Trannoy, Alain & Wasmer, Etienne, 2021. "Land is back, it should be taxed, it can be taxed," European Economic Review, Elsevier, vol. 134(C).
    6. Radoslaw Stefanski & Alex Trew, 2022. "Selection, Patience, and the Interest Rate (updated 2023)," Working Papers 2022_08, Business School - Economics, University of Glasgow.
    7. Joachim Hubmer & Per Krusell & Anthony A. Smith Jr., 2020. "Sources of US Wealth Inequality: Past, Present, and Future," NBER Chapters, in: NBER Macroeconomics Annual 2020, volume 35, pages 391-455, National Bureau of Economic Research, Inc.
    8. Shuhei Aoki & Makoto Nirei, 2014. "Zipf's Law, Pareto's Law, and the Evolution of Top Incomes in the U.S," Working Papers e074, Tokyo Center for Economic Research.
    9. Dan Cao & Wenlan Luo, 2017. "Persistent Heterogeneous Returns and Top End Wealth Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 301-326, October.
    10. Broadberry, Stephen & Ghosal, Sayantan & Proto, Eugenio, 2017. "Anonymity, efficiency wages and technological progress," Journal of Development Economics, Elsevier, vol. 127(C), pages 379-394.
    11. Carneiro, Fernando Moraes & Turnovsky, Stephen J. & Tourinho, Octavio Augusto Fontes, 2022. "Economic growth and inequality tradeoffs under progressive taxation," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    12. Toda, Alexis Akira, 2019. "Wealth distribution with random discount factors," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 101-113.
    13. Jess Benhabib & Alberto Bisin, 2018. "Skewed Wealth Distributions: Theory and Empirics," Journal of Economic Literature, American Economic Association, vol. 56(4), pages 1261-1291, December.
    14. Khieu, Hoang & Wälde, Klaus, 2023. "Capital income risk and the dynamics of the wealth distribution," Economic Modelling, Elsevier, vol. 122(C).
    15. Jean-Baptiste Michau & Yoshiyasu Ono & Matthias Schlegl, 2023. "The Preference for Wealth and Inequality: Towards a Piketty Theory of Wealth Inequality," Working Papers 2023-11, Center for Research in Economics and Statistics.
    16. Nakajima, Tetsuya, 2023. "How does the middle class vanish? The importance of redistribution targets," Economic Analysis and Policy, Elsevier, vol. 79(C), pages 560-568.
    17. Luca Zamparelli, 2017. "Wealth Distribution, Elasticity of Substitution and Piketty: An ‘Anti-Dual’ Pasinetti Economy," Metroeconomica, Wiley Blackwell, vol. 68(4), pages 927-946, November.
    18. Evangelos V. Dioikitopoulos & Sarantis Kalyvitis, 2015. "Optimal Fiscal Policy with Endogenous Time Preference," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(6), pages 848-873, December.
    19. Agénor, Pierre-Richard, 2010. "A theory of infrastructure-led development," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 932-950, May.
    20. Fernholz, Ricardo & Fernholz, Robert, 2014. "Instability and concentration in the distribution of wealth," Journal of Economic Dynamics and Control, Elsevier, vol. 44(C), pages 251-269.

    More about this item

    Keywords

    inequality; return on capital; growth rate; labor; national output; demographics;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity
    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • P10 - Political Economy and Comparative Economic Systems - - Capitalist Economies - - - General

    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:chf:rpseri:rp1669. 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: Ridima Mittal (email available below). General contact details of provider: https://edirc.repec.org/data/fameech.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.