Redistribution spurs growth by using a portfolio effect on human capital
We demonstrate by mathematical analysis and systematic computer simulations that redistribution can lead to sustainable growth in a society. The human capital dynamics of each agent is described by a stochastic multiplicative process which, in the long run, leads to the destruction of individual human capital and the extinction of the individualistic society. 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. We derive conditions under which the destruction of human capital can be turned into sustainable growth, despite the losses from the random growth process and despite the administrative costs. Sustainable growth is induced by redistribution. This effect could be explained by a simple portfolio-effect which re-balances individual stochastic processes. The findings are verified for three different tax schemes: proportional tax, taking proportional more from the rich, and proportionally more from the poor. We discuss which of these tax schemes is optimal with respect to maximize growth under a fixed rate of administrative costs, or with respect to maximize the governmental income. This leads us to some general conclusions about governmental decisions, the relation to public good games, and the use of taxation in a risk taking society.
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- 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 914-27, October.
- 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.
- J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," Review of Economic Studies, Oxford University Press, vol. 38(2), pages 175-208.
- Gur Yaari & Sorin Solomon, 2008. "Cooperation Evolution in Random Multiplicative Environments," Papers 0807.1823, arXiv.org, revised Jan 2010.
- Borys Grochulski & Tomasz Piskorski, 2007.
"Risky human capital and deferred capital income taxation,"
06-13, Federal Reserve Bank of Richmond.
- 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.
- Persson, Torsten & Tabellini, Guido, 1994.
"Is Inequality Harmful for Growth?,"
American Economic Review,
American Economic Association, vol. 84(3), pages 600-621, June.
- Barro, Robert J, 2000. "Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
- Fehr, Ernst & Schmidt, Klaus M., .
"A theory of fairness, competition, and cooperation,"
Chapters in Economics,
University of Munich, Department of Economics.
- Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 817-868.
- Ernst Fehr & Klaus M. Schmidt, . "A Theory of Fairness, Competition and Cooperation," IEW - Working Papers 004, Institute for Empirical Research in Economics - University of Zurich.
- Fehr, Ernst & Schmidt, Klaus M., 1999. "A theory of fairness, competition, and cooperation," Munich Reprints in Economics 20650, University of Munich, Department of Economics.
- Fehr, Ernst & Schmidt, Klaus M., 1998. "A Theory of Fairness, Competition and Cooperation," CEPR Discussion Papers 1812, C.E.P.R. Discussion Papers.
- 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.
- Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
- G. Yaari & D. Stauffer & S. Solomon, 2008. "Intermittency and Localization," Papers 0802.3541, arXiv.org, revised Mar 2008.
- Arnab Chatterjee & Bikas K. Chakrabarti, 2007. "Kinetic Exchange Models for Income and Wealth Distributions," Papers 0709.1543, arXiv.org, revised Nov 2007.
- 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.
- Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
- Marco Patriarca & Anirban Chakraborti & Guido Germano, 2005. "Influence of saving propensity on the power law tail of wealth distribution," Papers physics/0506028, arXiv.org.
- Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
- 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.
- Perotti, Roberto, 1996. "Growth, Income Distribution, and Democracy: What the Data Say," Journal of Economic Growth, Springer, vol. 1(2), pages 149-87, June.
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