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Redistribution Spurs Growth by Using a Portfolio Effect on Risky Human Capital

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  • Jan Lorenz
  • Fabian Paetzel
  • Frank Schweitzer

Abstract

We demonstrate by mathematical analysis and systematic computer simulations that redistribution can lead to sustainable growth in a society. In accordance with economic models of risky human capital, we assume that dynamics of human capital is modeled as a multiplicative stochastic process which, in the long run, leads to the destruction of individual human capital. When agents are linked by fully redistributive taxation the situation might turn to individual growth in the long run. We consider that a government collects a proportion of income and reduces it by a fraction as costs for administration (efficiency losses). The remaining public good is equally redistributed to all agents. Sustainable growth is induced by redistribution despite the losses from the random growth process and despite administrative costs. Growth results from a portfolio effect. The findings are verified for three different tax schemes: proportional tax, taking proportionally more from the rich, and proportionally more from the poor. We discuss which of these tax schemes performs better with respect to maximize growth under a fixed rate of administrative costs, and the governmental income. This leads us to general conclusions about governmental decisions, the relation to public good games with free riding, and the function of taxation in a risk-taking society.

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  • Jan Lorenz & Fabian Paetzel & Frank Schweitzer, 2013. "Redistribution Spurs Growth by Using a Portfolio Effect on Risky Human Capital," PLOS ONE, Public Library of Science, vol. 8(2), pages 1-13, February.
    • Handle: RePEc:plo:pone00:0054904
    DOI: 10.1371/journal.pone.0054904
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    1. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    2. Philippe Aghion, 2005. "Growth and Institutions," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 32(1), pages 3-18, March.
    3. G. Yaari & S. Solomon, 2010. "Cooperation evolution in random multiplicative environments," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 73(4), pages 625-632, February.
    4. Frantisek Slanina, 1999. "On the possibility of optimal investment," Papers cond-mat/9905050, arXiv.org, revised May 1999.
    5. Matus Medo & Yury M. Pis'mak & Yi-Cheng Zhang, 2008. "Diversification and limited information in the Kelly game," Papers 0803.1364, arXiv.org, revised Jul 2008.
    6. Acemoglu, Daron & Johnson, Simon & Robinson, James A., 2005. "Institutions as a Fundamental Cause of Long-Run Growth," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 6, pages 385-472, Elsevier.
    7. Grochulski, Borys & Piskorski, Tomasz, 2010. "Risky human capital and deferred capital income taxation," Journal of Economic Theory, Elsevier, vol. 145(3), pages 908-943, May.
    8. Glaeser, Edward & Scheinkman, Jose & Shleifer, Andrei, 2003. "The injustice of inequality," Journal of Monetary Economics, Elsevier, vol. 50(1), pages 199-222, January.
    9. G. Yaari & D. Stauffer & S. Solomon, 2008. "Intermittency and Localization," Papers 0802.3541, arXiv.org, revised Mar 2008.
    10. Arnab Chatterjee & Bikas K. Chakrabarti, 2007. "Kinetic Exchange Models for Income and Wealth Distributions," Papers 0709.1543, arXiv.org, revised Nov 2007.
    11. Patriarca, Marco & Chakraborti, Anirban & Germano, Guido, 2006. "Influence of saving propensity on the power-law tail of the wealth distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 723-736.
    12. Philippe Aghion & Patrick Bolton, 1997. "A Theory of Trickle-Down Growth and Development," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(2), pages 151-172.
    13. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    14. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    15. Ofer Malcai & Ofer Biham & Peter Richmond & Sorin Solomon, 2002. "Theoretical Analysis and Simulations of the Generalized Lotka-Volterra Model," Papers cond-mat/0208514, arXiv.org.
    16. Daniel E. Schindler & Ray Hilborn & Brandon Chasco & Christopher P. Boatright & Thomas P. Quinn & Lauren A. Rogers & Michael S. Webster, 2010. "Population diversity and the portfolio effect in an exploited species," Nature, Nature, vol. 465(7298), pages 609-612, June.
    17. Gur Yaari & Sorin Solomon, 2008. "Cooperation Evolution in Random Multiplicative Environments," Papers 0807.1823, arXiv.org, revised Jan 2010.
    18. Anirban Chakraborti & Bikas K. Chakrabarti, 2000. "Statistical mechanics of money: How saving propensity affects its distribution," Papers cond-mat/0004256, arXiv.org, revised Jun 2000.
    19. Marsili, Matteo & Maslov, Sergei & Zhang, Yi-Cheng, 1998. "Dynamical optimization theory of a diversified portfolio," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 253(1), pages 403-418.
    20. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    21. Slanina, František, 1999. "On the possibility of optimal investment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(2), pages 554-563.
    22. Persson, Torsten & Tabellini, Guido, 1994. "Is Inequality Harmful for Growth?," American Economic Review, American Economic Association, vol. 84(3), pages 600-621, June.
    23. Perotti, Roberto, 1996. "Growth, Income Distribution, and Democracy: What the Data Say," Journal of Economic Growth, Springer, vol. 1(2), pages 149-187, June.
    24. A. Chatterjee & B. K. Chakrabarti, 2007. "Kinetic exchange models for income and wealth distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 60(2), pages 135-149, November.
    25. Matteo Marsili & Sergei Maslov & Yi-Cheng Zhang, 1998. "Dynamical Optimization Theory of a Diversified Portfolio," Papers cond-mat/9801239, arXiv.org, revised Jan 1998.
    26. Barro, Robert J, 2000. "Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
    27. A. Chakraborti & B.K. Chakrabarti, 2000. "Statistical mechanics of money: how saving propensity affects its distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 17(1), pages 167-170, September.
    28. Meltzer, Allan H & Richard, Scott F, 1981. "A Rational Theory of the Size of Government," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 914-927, October.
    29. Medo, Matúš & Pis’mak, Yury M. & Zhang, Yi-Cheng, 2008. "Diversification and limited information in the Kelly game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6151-6158.
    30. Kristin J. Forbes, 2000. "A Reassessment of the Relationship between Inequality and Growth," American Economic Review, American Economic Association, vol. 90(4), pages 869-887, September.
    31. Sebastian Guala, 2009. "Taxes in a Wealth Distribution Model by Inelastically Scattering of Particles," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 7(1), pages 1-7.
    32. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    33. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    2. Du, Jinming, 2019. "Redistribution promotes cooperation in spatial public goods games under aspiration dynamics," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    3. Liebmann, Thomas & Kassberger, Stefan & Hellmich, Martin, 2017. "Sharing and growth in general random multiplicative environments," European Journal of Operational Research, Elsevier, vol. 258(1), pages 193-206.

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