IDEAS home Printed from https://ideas.repec.org/p/nwu/cmsems/1407.html
   My bibliography  Save this paper

Emergent Class Structure

Author

Listed:
  • Kiminori Matsuyama

Abstract

This paper presents a model of emergent class structure, in which a society inhabited by inherently identical households may be endogenously split into the rich bourgeoisie and the poor proletariat. For some parameter values, the model has no steady state where all households remain equally wealthy. In this case, the model predicts emergent class structure or the rise of class societies. Even if every household starts with the same amount of wealth, the society will experience “symmetry-breaking” and will be polarized into two classes in steady state, where the rich maintain a high level of wealth partly due to the presence of the poor, who have no choice but to work for the rich at a wage rate strictly lower than the “fair” value of labor. The non-existence of the equal steady state means that a one-shot redistribution of wealth would not be effective, as wealth inequality and the class structure would always reemerge. Thus, the class structure is an inevitable feature of capitalism. For other parameter values, on the other hand, the model has the unique steady state, which is characterized by perfect equality. In this case, the model predicts dissipating class structure or the fall of class societies. Even if the society starts with significant wealth inequality, labor demand by the rich employers pushes up the wage rate so much that workers will escape from the poverty and eventually catch up with the rich, eliminating wealth inequality and the class structure in the long run. In an extension, we introduce self-employment, which not only provides the poor with an alternative to working for the rich, but also provides the rich with an alternative to investment that create jobs. Due to this dual nature of selfemployment, the effects of self-employment turn out to be quite subtle. Yet, within the present framework, it is possible to offer a complete characterization of the steady states even in the presence of self-employment.

Suggested Citation

  • Kiminori Matsuyama, 2005. "Emergent Class Structure," Discussion Papers 1407, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1407
    as

    Download full text from publisher

    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1407.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bengt Holmstrom & Jean Tirole, 1997. "Financial Intermediation, Loanable Funds, and The Real Sector," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 663-691.
    2. Oded Galor & Omer Moav, 2000. "Das Human Kapital," Working Papers 2000-17, Brown University, Department of Economics.
    3. Rosen, Sherwin, 1997. "Manufactured Inequality," Journal of Labor Economics, University of Chicago Press, vol. 15(2), pages 189-196, April.
    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 274-298, April.
    5. Freeman, Scott, 1996. "Equilibrium Income Inequality among Identical Agents," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1047-1064, October.
    6. 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.
    7. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 35-52.
    8. Thomas Piketty, 1997. "The Dynamics of the Wealth Distribution and the Interest Rate with Credit Rationing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(2), pages 173-189.
    9. Matthias Doepke & Fabrizio Zilibotti, 2005. "Social Class and the Spirit of Capitalism," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 516-524, 04/05.
    10. Altonji, Joseph G & Hayashi, Fumio & Kotlikoff, Laurence J, 1997. "Parental Altruism and Inter Vivos Transfers: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 105(6), pages 1121-1166, December.
    11. Xavier Freixas & Jean-Charles Rochet, 1997. "Microeconomics of Banking," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061937, April.
    12. repec:hoo:wpaper:e-92-11 is not listed on IDEAS
    13. Chari, V V & Hopenhayn, Hugo, 1991. "Vintage Human Capital, Growth, and the Diffusion of New Technology," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1142-1165, December.
    14. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Degan, Arianna & Thibault, Emmanuel, 2016. "Dynastic accumulation of wealth," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 66-78.
    2. Claudia Martínez A. & Esteban Puentes, 2018. "Micro-entrepreneurship Debt Level and Access to Credit: Short-Term Impacts of a Financial Literacy Program," The European Journal of Development Research, Palgrave Macmillan;European Association of Development Research and Training Institutes (EADI), vol. 30(4), pages 613-629, September.
    3. Carter, Michael & Morrow, John, 2014. "The political economy of inclusive rural growth," LSE Research Online Documents on Economics 60268, London School of Economics and Political Science, LSE Library.
    4. Matthias Doepke & Fabrizio Zilibotti, 2008. "Occupational Choice and the Spirit of Capitalism," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 747-793.
    5. Mookherjee, Dilip & Napel, Stefan, 2021. "Welfare rationales for conditionality of cash transfers," Journal of Development Economics, Elsevier, vol. 151(C).
    6. Dilip Mookherjee & Silvia Prina & Debraj Ray, 2010. "A Theory Of Endogenous Fertility With Occupational Choice," Boston University - Department of Economics - Working Papers Series WP2010-036, Boston University - Department of Economics.
    7. Napel, Stefan, 2014. "A Pareto Efficiency Rationale for the Welfare State," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100496, Verein für Socialpolitik / German Economic Association.
    8. repec:esx:essedp:764 is not listed on IDEAS
    9. Ahlin, Christian & Jiang, Neville, 2008. "Can micro-credit bring development?," Journal of Development Economics, Elsevier, vol. 86(1), pages 1-21, April.
    10. repec:dau:papers:123456789/1799 is not listed on IDEAS
    11. Miquel Pellicer & Vimal Ranchhod & Mare Sarr & Eva Wegner, 2011. "Inequality Traps in South Africa: An overview and research agenda," SALDRU Working Papers 57, Southern Africa Labour and Development Research Unit, University of Cape Town.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kiminori Matsuyama, 2006. "The 2005 Lawrence R. Klein Lecture: Emergent Class Structure," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(2), pages 327-360, May.
    2. Kiminori Matsuyama, 2001. "On the Rise and Fall of Class Societies," Discussion Papers 1326, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Manuel Oechslin, 2009. "Creditor protection and the dynamics of the distribution in oligarchic societies," Journal of Economic Growth, Springer, vol. 14(4), pages 313-344, December.
    4. Philippe Aghion & Abhijit Banerjee & Thomas Piketty, 1999. "Dualism and Macroeconomic Volatility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(4), pages 1359-1397.
    5. Tressel, Thierry, 2003. "Dual Financial Systems and Inequalities in Economic Development," Journal of Economic Growth, Springer, vol. 8(2), pages 223-257, June.
    6. Kiminori Matsuyama, 2008. "Aggregate Implications of Credit Market Imperfections," NBER Chapters, in: NBER Macroeconomics Annual 2007, Volume 22, pages 1-60, National Bureau of Economic Research, Inc.
    7. Azariadis, Costas & Stachurski, John, 2005. "Poverty Traps," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5, Elsevier.
    8. Mookherjee, Dilip & Napel, Stefan, 2007. "Intergenerational mobility and macroeconomic history dependence," Journal of Economic Theory, Elsevier, vol. 137(1), pages 49-78, November.
    9. Oded, Galor, 2011. "Inequality, Human Capital Formation, and the Process of Development," Handbook of the Economics of Education, in: Erik Hanushek & Stephen Machin & Ludger Woessmann (ed.), Handbook of the Economics of Education, edition 1, volume 4, chapter 0, pages 441-493, Elsevier.
    10. Maitreesh Ghatak & Massimo Morelli & Tomas Sjöström, 2001. "Occupational Choice and Dynamic Incentives," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 781-810.
    11. Falilou Fall, 2005. "Endogenous persistent inequality," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00196084, HAL.
    12. George Vachadze, 2021. "Financial development, income and income inequality," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(3), pages 589-628, July.
    13. Dilip Mookherjee & Debraj Ray, 2003. "Persistent Inequality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 369-393.
    14. Andergassen, Rainer & Nardini, Franco, 2007. "Educational choice, endogenous inequality and economic development," Journal of Macroeconomics, Elsevier, vol. 29(4), pages 940-958, December.
    15. Shankha Chakraborty & Mausumi Das, 2005. "Mortality, Human Capital and Persistent Inequality," Journal of Economic Growth, Springer, vol. 10(2), pages 159-192, June.
    16. Piketty, Thomas, 2000. "Theories of persistent inequality and intergenerational mobility," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 8, pages 429-476, Elsevier.
    17. Dilip Mookherjee & Debraj Ray, 2002. "Contractual Structure and Wealth Accumulation," American Economic Review, American Economic Association, vol. 92(4), pages 818-849, September.
    18. Gruner, Hans Peter, 2003. "Redistribution as a selection device," Journal of Economic Theory, Elsevier, vol. 108(2), pages 194-216, February.
    19. Dilip Mookherjee & debraj Ray, 2005. "Occupational Diversity and Endogenous Inequality," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series dp-142, Boston University - Department of Economics.
    20. Chakraborty, Shankha & Ray, Tridip, 2007. "The development and structure of financial systems," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2920-2956, September.

    More about this item

    Keywords

    Imperfect Credit Markets; Distribution of Household Wealth; Vertical Division of Labor; Endogenous Inequality; Unattainability of Classless Society; Symmetry-Breaking;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • O11 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Macroeconomic Analyses of Economic Development

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nwu:cmsems:1407. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Fran Walker (email available below). General contact details of provider: https://edirc.repec.org/data/cmnwuus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.