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THE RICH AND THE POOR IN A SIMPLE MODEL OF GROWTH AND DISTRIBUTION

Published online by Cambridge University Press:  16 March 2016

Kirill Borissov
Kirill Borissov*
Affiliation:
European University at St. Petersburg, St. Petersburg Institute for Economics and Mathematics (RAS) and Faculty of Economics, St. Petersburg State University
*
Address correspondence to: Kirill Borissov, European University at St. Petersburg, 3 Gagarinskaya Str., St. Petersburg, 191187Russia; e-mail: kirill@eu.spb.ru, kirill.yu.borissov@gmail.com.
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Abstract

We consider a model of economic growth with altruistic agents who care about their consumption and the disposable income of their offspring. The agents' consumption and the offspring's disposable income are subject to positional concerns. We show that, if the measure of consumption-related positional concerns is sufficiently low and/or the measure of offspring-related positional concerns is sufficiently high, then there is a unique steady-state equilibrium, which is characterized by perfect income and wealth equality, and all intertemporal equilibira converge to it. Otherwise, in steady-state equilibria, the population splits into two classes, the rich and the poor; under this scenario, in any intertemporal equilibrium, all capital is eventually owned by the households that were the wealthiest from the outset and all other households become poor.

Keywords

GrowthInequalityRelative Consumption
Type
Notes
Information
Macroeconomic Dynamics , Volume 20 , Issue 7 , October 2016 , pp. 1934 - 1952
Copyright
Copyright © Cambridge University Press 2016 

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References

REFERENCES

Abel, Andrew B. and Warshawsky, Mark (1988) Specification of the joy of giving: Insights from altruism. Review of Economics and Statistics 70, 145–149.Google Scholar
Alonso-Carrera, Jaime, Caballé, Jordi, and Raurich, Xavier (2004) Consumption externalities, habit formation and equilibrium efficiency. Scandinavian Journal of Economics 106, 231–251.CrossRefGoogle Scholar
Alvarez-Cuadrado, Francisco, Monteiro, Goncalo, and Turnovsky, Stephen J. (2004) Habit formation, catching up with the Joneses, and economic growth. Journal of Economic Growth 9, 47–80.Google Scholar
Alvarez-Cuadrado, Francisco and Van Long, Ngo (2012) Envy and inequality. Scandinavian Journal of Economics 114, 949–973.Google Scholar
Andreoni, James (1989) Giving with impure altruism: Applications to charity and Ricardian equivalence. Journal of Political Economy 96, 1447–1458.CrossRefGoogle Scholar
Barro, Robert J. (1974) Are government bonds net wealth? Journal of Political Economy 82, 1095–1117.Google Scholar
Becker, Gary S. and Tomes, Nigel (1979) An equilibrium theory of the distribution of income and intergenerational mobility. Journal of Political Economy 87, 1153–1189.Google Scholar
Bertola, Giuseppe, Foellmi, Reto, and Zweimüller, Josef (2006) Income Distribution in Macroeconomic Models. Princeton, NJ, and Oxford, UK: Princeton University Press.Google Scholar
Borissov, Kirill (2013) Growth and distribution in a model with endogenous time preferences and borrowing constraints. Mathematical Social Sciences 66, 117–128.Google Scholar
Borissov, Kirill and Lambrecht, Stéphane (2009) Growth and distribution in an AK-model with endogenous impatience. Economic Theory 39, 93–112.CrossRefGoogle Scholar
Bourguignon, François (1981) Pareto superiority of unegalitarian equilibria in Stiglitz's model of wealth distribution with convex saving function. Econometrica 49, 1469–1475.Google Scholar
Bréchet, Thierry and Lambrecht, Stéphane (2009) Family altruism with a renewable resource and population growth. Mathematical Population Studies 16, 60–78.Google Scholar
Corneo, Giacomo and Jeanne, Olivier (1997) Conspicuous consumption, snobbism and conformism. Journal of Public Economics 66, 55–71.Google Scholar
Duesenberry, James E. (1949) Income, Saving and the Theory of Consumer Behavior. Cambridge, MA: Harvard University Press.Google Scholar
Dynan, Karen E., Skinner, Jonathan, and Zeldes, Stephen P. (2004) Do the rich save more? Journal of Political Economy 112, 397–444.Google Scholar
Fisher, Irving (1930) The Theory of Interest. New York: Macmillan.Google Scholar
Fisher, Walter H. and Heijdra, Ben J. (2009) Keeping up with the ageing Joneses. Journal of Economic Dynamics and Control 33, 53–64.CrossRefGoogle Scholar
Fisher, Walter H. and Heijdra, Ben J. (2012) Growth, pensions, and the aging Joneses. Macroeconomic Dynamics 16, 35–60.Google Scholar
Fisher, Walter H. and Hof, Franz X. (2000) Relative consumption, economic growth and taxation. Journal of Economics 73, 241–262.CrossRefGoogle Scholar
Frank, Robert H. (2008) Should public policy respond to positional externalities? Journal of Public Economics 92, 1777–86.Google Scholar
Galor, Oded and Moav, Omer (2004) From physical to human capital accumulation: Inequality in the process of development. Review of Economic Studies 71, 1001–26.CrossRefGoogle Scholar
Galor, Oded and Zeira, Joseph (1993) Income distribution and macroeconomics. Review of Economic Studies 60, 35–52.CrossRefGoogle Scholar
García-Peñalosa, Cecilia, and Turnovsky, Stephen J. (2008) Consumption externalities: A representative consumer model when agents are heterogeneous. Economic Theory 37, 439–467.CrossRefGoogle Scholar
Keynes, John M. (1936) The General Theory of Employment, Interest, and Money. New York: Harcourt Brace.Google Scholar
Koyuncu, Murat and Turnovsky, Stephen J. (2010) Aggregate and distributional effects of tax policy with interdependent preferences: The role of “catching up with the Joneses.” Macroeconomic Dynamics 14 (Supplement 2), 200–223.Google Scholar
Kunze, Lars (2010) Capital taxation, long-run growth, and bequests. Journal of Macroeconomics 32, 1067–1082.Google Scholar
Laitner, John and Juster, F. Thomas (1996) New evidence on altruism: A study of TIAA-CREF retirees. American Economic Review 86, 893–908.Google Scholar
Lambrecht, Stéphane, Michel, Philippe, and Thibault, Emmanuel (2006) Capital accumulation and fiscal policy in an OLG model with family altruism. Journal of Public Economic Theory 8, 465–486.Google Scholar
Lambrecht, Stéphane, Michel, Philippe, and Vidal, Jean-Pierre (2005) Public pensions and growth. European Economic Review 49, 1261–1281.Google Scholar
Long, Ngo Van and Shimomura, Koji (2004) Relative wealth, status seeking, and catching up. Journal of Economic Behavior and Organization, 53, 529–542.CrossRefGoogle Scholar
Mino, Kazuo and Nakamoto, Yasuhiro (2012) Consumption externalities and equilibrium dynamics with heterogeneous agents, Mathematical Social Sciences 64, 225–233.Google Scholar
Moav, Omer (2002) Income distribution and macroeconomics: The persistence of inequality in a convex technology framework. Economics Letters 75, 187–192.CrossRefGoogle Scholar
Moav, Omer and Neeman, Zvika (2010) Status and poverty. Journal of the European Economic Association 8, 413–420.Google Scholar
Moav, Omer and Neeman, Zvika (2012) Saving rates and poverty: The role of conspicuous consumption and human capital. Economic Journal 122, 933–956.CrossRefGoogle Scholar
Pham, Thi Kim Cuong (2005) Economic growth and status-seeking through personal wealth. European Journal of Political Economy 21, 404–427.Google Scholar
Piketty, Thomas (2011) On the long-run evolution of inheritance: France 1820–2050. Quarterly Journal of Economics 126, 1071–1131.Google Scholar
Rauscher, Michael (1997) Conspicuous consumption, economic growth and taxation. Journal of Economics 66, 35–42.Google Scholar
Schlicht, Ekkehart (1975) A neoclassical theory of wealth distribution. Jahrbücher für Nationalökonomie und Statistik 189, 78–96.CrossRefGoogle Scholar
Stiglitz, Joseph E. (1969) Distribution of income and wealth among individuals. Econometrica 37, 382–397.Google Scholar
Turnovsky, Stephen J. and Wendner, Ronald (Eds.) (2010) Introduction to Macroeconomic Dynamics special issue: Public policy, externalities, and economic growth. Macroeconomic Dymanics 14 (Supplement 2), 145–150.Google Scholar
Wendner, Ronald (2011) Will the consumption externalities' effects in the Ramsey model please stand up? Economics Letters 111, 210–212.Google Scholar