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An Assignment Model of Knowledge Diffusion and Income Inequality

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  • Erzo G. J. Luttmer

Abstract

Randomness in individual discovery disperses productivities, whereas learning from others keeps productivities together. Long-run growth and persistent earnings inequality emerge when these two mechanisms for knowledge accumulation are combined. This paper considers an economy in which those with more useful knowledge can teach others, with competitive markets assigning students to teachers. In equilibrium, students with an ability to learn quickly are assigned to teachers with the most productive knowledge. This sorting on ability implies large differences in earnings distributions conditional on ability, as shown using explicit formulas for the tail behavior of these distributions.

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  • Erzo G. J. Luttmer, . "An Assignment Model of Knowledge Diffusion and Income Inequality," Staff Report, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmsr:509
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    References listed on IDEAS

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    1. Fatih Guvenen & Fatih Karahan & Serdar Ozkan & Jae Song, 2015. "What Do Data on Millions of U.S. Workers Reveal about Life-Cycle Earnings Risk?," NBER Working Papers 20913, National Bureau of Economic Research, Inc.
    2. , & Lorenz, Jan & ,, 2016. "Innovation vs. imitation and the evolution of productivity distributions," Theoretical Economics, Econometric Society, vol. 11(3), September.
    3. Xavier Gabaix & Augustin Landier, 2008. "Why has CEO Pay Increased So Much?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(1), pages 49-100.
    4. Volker Nocke & Stephen Yeaple, 2008. "An Assignment Theory of Foreign Direct Investment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(2), pages 529-557.
    5. Robert E. Lucas Jr. & Benjamin Moll, 2014. "Knowledge Growth and the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 1-51.
    6. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2011. "The Distribution of Wealth and Fiscal Policy in Economies With Finitely Lived Agents," Econometrica, Econometric Society, vol. 79(1), pages 123-157, January.
    7. Marko Tervio, 2008. "The Difference That CEOs Make: An Assignment Model Approach," American Economic Review, American Economic Association, vol. 98(3), pages 642-668, June.
    8. Fatih Guvenen & Fatih Karahan & Serdar Ozkan & Jae Song, 2021. "What Do Data on Millions of U.S. Workers Reveal About Lifecycle Earnings Dynamics?," Econometrica, Econometric Society, vol. 89(5), pages 2303-2339, September.
    9. Fernando E. Alvarez & Francisco J. Buera & Robert E. Lucas, Jr., 2008. "Models of Idea Flows," NBER Working Papers 14135, National Bureau of Economic Research, Inc.
    10. Natalia Ramondo & Andrés Rodríguez-Clare, 2013. "Trade, Multinational Production, and the Gains from Openness," Journal of Political Economy, University of Chicago Press, vol. 121(2), pages 273-322.
    11. Erzo G. J. Luttmer, 2011. "On the Mechanics of Firm Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 1042-1068.
    12. Rui Li & Dana Kiku & Hengjie Ai, 2014. "A Mechanism Design Model of Firm Dynamics: The Case of Limited Commitment," 2014 Meeting Papers 855, Society for Economic Dynamics.
    13. Fernando E. Alvarez & Francisco J. Buera & Robert E. Lucas, Jr., 2013. "Idea Flows, Economic Growth, and Trade," NBER Working Papers 19667, National Bureau of Economic Research, Inc.
    14. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    15. Robert E. Lucas Jr., 1978. "On the Size Distribution of Business Firms," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 508-523, Autumn.
    16. Staley, Mark, 2011. "Growth and the diffusion of ideas," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 470-478.
    17. Ariel T. Burstein & Alexander Monge-Naranjo, 2009. "Foreign Know-How, Firm Control, and the Income of Developing Countries," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 149-195.
    18. Marco Cagetti & Mariacristina De Nardi, 2006. "Entrepreneurship, Frictions, and Wealth," Journal of Political Economy, University of Chicago Press, vol. 114(5), pages 835-870, October.
    19. Paul Beaudry & Patrick Francois, 2010. "Managerial Skills Acquisition and the Theory of Economic Development," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 90-126.
    20. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    21. Jesse Perla & Christopher Tonetti, 2014. "Equilibrium Imitation and Growth," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 52-76.
    22. Boyan Jovanovic, 2014. "Misallocation and Growth," American Economic Review, American Economic Association, vol. 104(4), pages 1149-1171, April.
    23. Erzo G. J. Luttmer, 2007. "Selection, Growth, and the Size Distribution of Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(3), pages 1103-1144.
    24. Sherwin Rosen, 1982. "Authority, Control, and the Distribution of Earnings," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 311-323, Autumn.
    25. 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.
    26. Makoto Nirei & Wataru Souma, 2007. "A Two Factor Model Of Income Distribution Dynamics," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(3), pages 440-459, September.
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    Cited by:

    1. Kyle Herkenhoff & Jeremy Lise & Guido Menzio & Gordon Phillips, 2018. "Production and Learning in Teams," Working Papers 2018-088, Human Capital and Economic Opportunity Working Group.

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    More about this item

    Keywords

    Knowledge diffusion; Growth; Income inequality;
    All these keywords.

    JEL classification:

    • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General
    • O30 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - General
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • J20 - Labor and Demographic Economics - - Demand and Supply of Labor - - - General

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