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Wealth Distribution, Elasticity of Substitution, and Piketty: an anti-dual Pasinetti Economy

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  • Luca Zamparelli

    (Sapienza, University of Rome)

Abstract

This paper examines the evolution of wealth distribution between workers and capitalists. It shows that under competitive conditions, and when factors elasticity of substitution is high enough to ensure endogenous growth, capitalists' share of total wealth asymptotically tends to one if they have a higher propensity to save than workers. It is also shown that a tax on capital income shifts wealth distribution in workers' favor and makes any level of wealth concentration feasible.

Suggested Citation

  • Luca Zamparelli, 2015. "Wealth Distribution, Elasticity of Substitution, and Piketty: an anti-dual Pasinetti Economy," Working Papers 1/15, Sapienza University of Rome, DISS.
  • Handle: RePEc:saq:wpaper:01/15
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    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. Lance Taylor, 2014. "The Triumph of the Rentier? Thomas Piketty vs. Luigi Pasinetti & John Maynard Keynes," SCEPA working paper series. 2014-7, Schwartz Center for Economic Policy Analysis (SCEPA), The New School.
    3. Mauro Baranzini, 1975. "A Two-Class Monetary Growth Model," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 111(II), pages 177-189, June.
    4. Fazi, Elido & Salvadori, Neri, 1985. "The Existence of a Two-Class Economy in a General Cambridge Model of Growth and Distribution," Cambridge Journal of Economics, Oxford University Press, vol. 9(2), pages 155-164, June.
    5. Stiglitz, Joseph E, 1969. "Distribution of Income and Wealth among Individuals," Econometrica, Econometric Society, vol. 37(3), pages 382-397, July.
    6. Nicholas Kaldor, 1955. "Alternative Theories of Distribution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(2), pages 83-100.
    7. Soon Ryoo, 2016. "Inequality of Income and Wealth in the Long Run: A Kaldorian Perspective," Metroeconomica, Wiley Blackwell, vol. 67(2), pages 429-457, May.
    8. Robert Rowthorn, 2014. "A note on Piketty’s Capital in the Twenty-First Century," Cambridge Journal of Economics, Oxford University Press, vol. 38(5), pages 1275-1284.
    9. Joanílio Rodolpho Teixeira & Jorge Thompson Araújo, 1997. "A Pasinettian Amend to Growth and Distribution in an Open Economy," Metroeconomica, Wiley Blackwell, vol. 48(2), pages 205-209, June.
    10. Luigi L. Pasinetti, 1962. "Rate of Profit and Income Distribution in Relation to the Rate of Economic Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 267-279.
    11. Thomas Piketty & Gabriel Zucman, 2014. "Capital is Back: Wealth-Income Ratios in Rich Countries 1700–2010," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1255-1310.
    12. repec:epa:cepawp:2014-8 is not listed on IDEAS
    13. Pasquale Commendatore, 2004. "Complex dynamics in a Pasinetti-Solow model of Growth and distribution," Computing in Economics and Finance 2004 279, Society for Computational Economics.
    14. Lance Taylor, 2014. "The Triumph of the Rentier? Thomas Piketty vs. Luigi Pasinetti and John Maynard Keynes," International Journal of Political Economy, Taylor & Francis Journals, vol. 43(3), pages 4-17, July.
    15. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    16. Balestra, Pietro & Baranzini, Mauro, 1971. "Some Optimal Aspects in a Two Class Growth Model with a Differentiated Interest Rate," Kyklos, Wiley Blackwell, vol. 24(2), pages 240-256.
    17. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    18. Mainwaring, L, 1980. "International Investment and the Pasinetti Process," Oxford Economic Papers, Oxford University Press, vol. 32(1), pages 99-101, March.
    19. Thomas Piketty, 2015. "About Capital in the Twenty-First Century," American Economic Review, American Economic Association, vol. 105(5), pages 48-53, May.
    20. David N. Weil, 2015. "Capital and Wealth in the Twenty-First Century," American Economic Review, American Economic Association, vol. 105(5), pages 34-37, May.
    21. Darity, William A, Jr, 1981. "The Simple Analytics of Neo-Ricardian Growth and Distribution," American Economic Review, American Economic Association, vol. 71(5), pages 978-993, December.
    22. Thomas R. Michl, 2007. "Capitalists, Workers And Social Security," Metroeconomica, Wiley Blackwell, vol. 58(2), pages 244-268, May.
    23. Gupta, Kanhaya L, 1976. "Differentiated Interest Rate and Kaldor-Pasinetti Paradoxes," Kyklos, Wiley Blackwell, vol. 29(2), pages 310-314.
    24. Robert Rowthorn, 2014. "A Note on Piketty's Capital in the Twenty-First Century," Working Papers wp462, Centre for Business Research, University of Cambridge.
    25. Fazi, Elido & Salvadori, Neri, 1981. "The Existence of a Two-Class Economy in the Kaldor Model of Growth and Distribution," Kyklos, Wiley Blackwell, vol. 34(4), pages 582-592.
    26. Elido Fazi & Neri Salvadori*, 1981. "The Existence Of A Two‐Class Economy In The Kaldor Model Of Growth And Distribution," Kyklos, Wiley Blackwell, vol. 34(4), pages 582-592, November.
    27. Steedman, Ian, 1972. "The State and the Outcome of the Pasinetti Process," Economic Journal, Royal Economic Society, vol. 82(328), pages 1387-1395, December.
    28. de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
    29. Winford H. Masanjala & Chris Papageorgiou, 2004. "The Solow model with CES technology: nonlinearities and parameter heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(2), pages 171-201.
    30. Chiang, Alpha C, 1973. "A Simple Generalization of the Kaldor-Pasinetti Theory of Profit Rate and Income Distribution," Economica, London School of Economics and Political Science, vol. 40(159), pages 311-313, August.
    31. A. Maneschi, 1974. "The Existence of a Two-class Economy in the Kaldor and Pasinetti Models of Growth and Distribution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(1), pages 149-150.
    32. Rainer Klump & Harald Preissler, 2000. "CES Production Functions and Economic Growth," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 41-56, March.
    33. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    34. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    35. Luigi L. Pasinetti, 1983. "Conditions of Existence of a Two Class Economy in the Kaldor and More General Models of Growth and Income Distribution," Kyklos, Wiley Blackwell, vol. 36(1), pages 91-102, August.
    36. Laing, N F, 1969. "Two Notes on Pasinetti's Theorem," The Economic Record, The Economic Society of Australia, vol. 45(111), pages 373-385, September.
    37. Palley, Thomas I, 1997. "Money, Fiscal Policy and the Cambridge Theorem," Cambridge Journal of Economics, Oxford University Press, vol. 21(5), pages 633-639, September.
    38. Massimiliano La Marca, 2005. "The Public Sector In A Model Of Growth And Distribution À La Pasinetti: Existence Of One‐ Or Two‐Class Economies," Metroeconomica, Wiley Blackwell, vol. 56(2), pages 157-181, May.
    39. Gregor Semieniuk, 2017. "Piketty’s Elasticity of Substitution: A Critique," Review of Political Economy, Taylor & Francis Journals, vol. 29(1), pages 64-79, January.
    40. Paul A. Samuelson & Franco Modigliani, 1966. "The Pasinetti Paradox in Neoclassical and More General Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 33(4), pages 269-301.
    41. Thomas R. Michl & Duncan K. Foley, 2004. "Social security in a Classical growth model," Cambridge Journal of Economics, Oxford University Press, vol. 28(1), pages 1-20, January.
    42. K. Sato, 1966. "The Neoclassical Theorem and Distribution of Income and Wealth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 33(4), pages 331-335.
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    Cited by:

    1. Sasaki, Hiroaki, 2021. "Automation Technology, Economic Growth, and Income Distribution in an Economy with Dynasties and Overlapping Generations," MPRA Paper 105446, University Library of Munich, Germany.
    2. Fischer, Thomas, 2017. "Thomas Piketty and the rate of time preference," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 111-133.
    3. Mattauch, Linus & Klenert, David & Stiglitz, Joseph E. & Edenhofer, Ottmar, 2022. "Overcoming wealth inequality by capital taxes that finance public investment," Structural Change and Economic Dynamics, Elsevier, vol. 63(C), pages 383-395.
    4. Hiroaki Sasaki, 2022. "Growth and income distribution in an economy with dynasties and overlapping generations," Evolutionary and Institutional Economics Review, Springer, vol. 19(1), pages 215-238, April.
    5. Baranzini, Mauro L. & Mirante, Amalia, 2021. "Pasinetti's theorem: A narrow escape, for what was to become an inexhaustible research programme," Structural Change and Economic Dynamics, Elsevier, vol. 59(C), pages 470-481.
    6. Mattauch, Linus & Klenert, David & Stiglitz, Joseph E. & Edenhofer, Ottmar, 2017. "Piketty meets Pasinetti: On public investment and intelligent machinery," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168156, Verein für Socialpolitik / German Economic Association.
    7. Sasaki, Hiroaki, 2018. "Capital Accumulation and the Rate of Profit in a Two-Class Economy with Optimization Behavior," MPRA Paper 88362, University Library of Munich, Germany.

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    More about this item

    Keywords

    Wealth distribution; elasticity of substitution; Pasinetti two-class equilibrium; Piketty;
    All these keywords.

    JEL classification:

    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E25 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Aggregate Factor Income Distribution

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