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Endogenous Inequality

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Author Info
Kiminori Matsuyama

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Abstract

Does the market economy exacerbate inequality across households? In a capitalistick society, does the rich maintain a high level of wealth at the expense of the poor? Or would an accumulation of the wealth by the rich eventually trickle down to the poor and pull the latter out of poverty? This paper presents a theoretical framework, in which one can address these questions in a systematic way. The model focuses on the role of credit market, which determines the joint evolution of the distribution of wealth and the interest rate. A complete characterization of the steady states is provided. Under some configurations of the parameter values, the model predicts an endogenous and permanent separation of the population into the rich and the poor, where the rich maintains a high level of wealth partially due to the presence of the poor. Under others, the model predicts the Kuznets curve, i.e., the wealth eventually trickles down from the rich to the poor, eliminating inequality in the long run.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1238.

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Date of creation: Dec 1998
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Handle: RePEc:nwu:cmsems:1238

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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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Web page: http://www.kellogg.northwestern.edu/research/math/
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Related research
Keywords: Imperfect Credit Markets; Distribution of Wealth; Endogenous Inequality; Trickle-Down; The Kuznets Curve;

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Find related papers by JEL classification:
D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
O11 - Economic Development, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development

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  1. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March. [Downloadable!] (restricted)
  2. Aghion, Philippe & Bolton, Patrick, 1997. "A Theory of Trickle-Down Growth and Development," Review of Economic Studies, Blackwell Publishing, vol. 64(2), pages 151-72, April. [Downloadable!] (restricted)
  3. Kiyotaki, Nobuhiro & Moore, John, 1997. "Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 211-48, April.
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  4. Banerjee, Abhijit V & Newman, Andrew F, 1993. "Occupational Choice and the Process of Development," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 274-98, April. [Downloadable!] (restricted)
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  5. Roland Bénabou, 1996. "Inequality and Growth," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 11-92 National Bureau of Economic Research, Inc. [Downloadable!]
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  6. Piketty, Thomas, 1997. "The Dynamics of the Wealth Distribution and the Interest Rate with Credit Rationing," Review of Economic Studies, Blackwell Publishing, vol. 64(2), pages 173-89, April. [Downloadable!] (restricted)
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