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Left and right: a tale of two tails of the wealth distribution

Author

Listed:
  • Marcello D’Amato

    (University of Napoli Suor Orsola Benincasa
    CSEF)

  • Christian Di Pietro

    (University of Napoli Parthenope
    CRISEI)

  • Marco M. Sorge

    (CSEF
    University of Salerno)

Abstract

We study a model of wealth accumulation in altruistic lineages, in which households face uninsurable risk, investment indivisibilities and borrowing constraints. A thick upper tail of the stationary distribution of wealth is shown to emerge as a robust prediction, irrespective of (1) the presence of multidimensional (wealth and ability) heterogeneity and non-convexities in human capital formation, and (2) the nature of parental bequest motives (joy-of-giving vs. paternalism). Additionally, (3) we identify conditions under which the unique, ergodic wealth distribution exhibits a mass point at the bottom of its support, where credit market imperfections continue to affect, along the convergence process, the structure of wealth transitions at the lineage level. Motivated by these results, we then analyze the sensitivity of the left tail to various frictions and fiscal instruments that affect bequest strategies and the ensuing transmission of wealth across generations. In particular, capital income or bequest taxes with no redistribution may reinforce economic mechanisms underpinning mobility traps in the left tail, thereby increasing the persistence of households in the lowest tiers of the wealth distribution.

Suggested Citation

  • Marcello D’Amato & Christian Di Pietro & Marco M. Sorge, 2024. "Left and right: a tale of two tails of the wealth distribution," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(4), pages 1389-1433, December.
  • Handle: RePEc:spr:joecth:v:78:y:2024:i:4:d:10.1007_s00199-024-01581-w
    DOI: 10.1007/s00199-024-01581-w
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    1. Dilip Mookherjee & Debraj Ray, 2010. "Inequality and Markets: Some Implications of Occupational Diversity," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 38-76, November.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. Mariacristina De Nardi & Giulio Fella, 2017. "Saving and Wealth Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 280-300, October.
    4. Abhijit V. Banerjee & Andrew F. Newman, 1991. "Risk-Bearing and the Theory of Income Distribution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 211-235.
    5. Vincenzo Quadrini, 2000. "Entrepreneurship, Saving and Social Mobility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(1), pages 1-40, January.
    6. Julio Dávila, 2023. "Bequests or education," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1039-1069, May.
    7. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    8. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    9. Benabou, Roland, 1996. "Heterogeneity, Stratification, and Growth: Macroeconomic Implications of Community Structure and School Finance," American Economic Review, American Economic Association, vol. 86(3), pages 584-609, June.
    10. 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.
    11. Gary S. Becker & Nigel Tomes, 1994. "Human Capital and the Rise and Fall of Families," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 257-298, National Bureau of Economic Research, Inc.
    12. Toda, Alexis Akira, 2019. "Wealth distribution with random discount factors," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 101-113.
    13. Shenghao Zhu, 2020. "Existence Of Stationary Equilibrium In An Incomplete‐Market Model With Endogenous Labor Supply," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1115-1138, August.
    14. Wojciech Kopczuk, 2013. "Incentive Effects of Inheritances and Optimal Estate Taxation," American Economic Review, American Economic Association, vol. 103(3), pages 472-477, May.
    15. Hanushek, Eric A. & Schwerdt, Guido & Wiederhold, Simon & Woessmann, Ludger, 2015. "Returns to skills around the world: Evidence from PIAAC," European Economic Review, Elsevier, vol. 73(C), pages 103-130.
    16. Bewley, Truman, 1977. "The permanent income hypothesis: A theoretical formulation," Journal of Economic Theory, Elsevier, vol. 16(2), pages 252-292, December.
    17. Kerwin Kofi Charles & Erik Hurst, 2003. "The Correlation of Wealth across Generations," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1155-1182, December.
    18. Ishikawa, Tsuneo, 1975. "Family Structures and Family Values in the Theory of Income Distribution," Journal of Political Economy, University of Chicago Press, vol. 83(5), pages 987-1008, October.
    19. Mookherjee, Dilip & Napel, Stefan, 2007. "Intergenerational mobility and macroeconomic history dependence," Journal of Economic Theory, Elsevier, vol. 137(1), pages 49-78, November.
    20. Moritz Kuhn, 2013. "Recursive Equilibria In An Aiyagari‐Style Economy With Permanent Income Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(3), pages 807-835, August.
    21. Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-867, June.
    22. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    23. Stachurski, John & Toda, Alexis Akira, 2019. "An impossibility theorem for wealth in heterogeneous-agent models with limited heterogeneity," Journal of Economic Theory, Elsevier, vol. 182(C), pages 1-24.
    24. Volker Grossmann & Panu Poutvaara, 2009. "Pareto-improving bequest taxation," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 16(5), pages 647-669, October.
    25. Dilip Mookherjee & Debraj Ray, 2003. "Persistent Inequality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 369-393.
    26. 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.
    27. Durlauf, Steven N, 1996. "A Theory of Persistent Income Inequality," Journal of Economic Growth, Springer, vol. 1(1), pages 75-93, March.
    28. Henderson, Daniel J. & Polachek, Solomon W. & Wang, Le, 2011. "Heterogeneity in schooling rates of return," Economics of Education Review, Elsevier, vol. 30(6), pages 1202-1214.
    29. Dan Cao & Wenlan Luo, 2017. "Persistent Heterogeneous Returns and Top End Wealth Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 301-326, October.
    30. Matthias Birkner & Niklas Scheuer & Klaus Wälde, 2023. "The dynamics of Pareto distributed wealth in a small open economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 607-644, August.
    31. James J. Heckman & Jora Stixrud & Sergio Urzua, 2006. "The Effects of Cognitive and Noncognitive Abilities on Labor Market Outcomes and Social Behavior," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 411-482, July.
    32. Andreoni, James, 1990. "Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving?," Economic Journal, Royal Economic Society, vol. 100(401), pages 464-477, June.
    33. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    34. 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.
    35. Raj Chetty & Nathaniel Hendren & Patrick Kline & Emmanuel Saez, 2014. "Where is the land of Opportunity? The Geography of Intergenerational Mobility in the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1553-1623.
    36. Jing Wan & Shenghao Zhu, 2019. "Bequests, estate taxes, and wealth distributions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 179-210, February.
    37. Bar Light, 2020. "Uniqueness of equilibrium in a Bewley–Aiyagari model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 435-450, March.
    38. Jessica A. Wachter & Motohiro Yogo, 2010. "Why Do Household Portfolio Shares Rise in Wealth?," The Review of Financial Studies, Society for Financial Studies, vol. 23(11), pages 3929-3965, November.
    39. Debraj Ray, 2006. "On the dynamics of inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 291-306, October.
    40. Benhabib, Jess & Bisin, Alberto & Zhu, Shenghao, 2015. "The wealth distribution in Bewley economies with capital income risk," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 489-515.
    41. Debraj Ray & Garance Genicot, 2023. "Measuring Upward Mobility," American Economic Review, American Economic Association, vol. 113(11), pages 3044-3089, November.
    42. Mariacristina De Nardi, 2004. "Wealth Inequality and Intergenerational Links," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 743-768.
    43. Andreas Fagereng & Martin Blomhoff Holm & Benjamin Moll & Gisle Natvik, 2019. "Saving Behavior Across the Wealth Distribution: The Importance of Capital Gains," NBER Working Papers 26588, National Bureau of Economic Research, Inc.
    44. Christopher B. Barrett & Teevrat Garg & Linden McBride, 2016. "Well-Being Dynamics and Poverty Traps," Annual Review of Resource Economics, Annual Reviews, vol. 8(1), pages 303-327, October.
    45. Carlotta Balestra & Richard Tonkin, 2018. "Inequalities in household wealth across OECD countries: Evidence from the OECD Wealth Distribution Database," OECD Statistics Working Papers 2018/01, OECD Publishing.
    46. Jess Benhabib & Alberto Bisin, 2018. "Skewed Wealth Distributions: Theory and Empirics," Journal of Economic Literature, American Economic Association, vol. 56(4), pages 1261-1291, December.
    47. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-1406, November.
    48. Yves Achdou & Jiequn Han & Jean-Michel Lasry & Pierre-Louis Lionse & Benjamin Moll, 2022. "Income and Wealth Distribution in Macroeconomics: A Continuous-Time Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(1), pages 45-86.
    49. Jess Benhabib & Alberto Bisin & Mi Luo, 2019. "Wealth Distribution and Social Mobility in the US: A Quantitative Approach," American Economic Review, American Economic Association, vol. 109(5), pages 1623-1647, May.
    50. Ma, Qingyin & Toda, Alexis Akira, 2021. "A theory of the saving rate of the rich," Journal of Economic Theory, Elsevier, vol. 192(C).
    51. Shuhei Aoki & Makoto Nirei, 2016. "Pareto Distribution of Income in Neoclassical Growth Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 25-42, April.
    52. Tobias J. Moskowitz & Annette Vissing-Jørgensen, 2002. "The Returns to Entrepreneurial Investment: A Private Equity Premium Puzzle?," American Economic Review, American Economic Association, vol. 92(4), pages 745-778, September.
    53. Dutta, Jayasri & Michel, Philippe, 1998. "The Distribution of Wealth with Imperfect Altruism," Journal of Economic Theory, Elsevier, vol. 82(2), pages 379-404, October.
    54. Blinder, Alan S, 1976. "Intergenerational Transfers and Life Cycle Consumption," American Economic Review, American Economic Association, vol. 66(2), pages 87-93, May.
    55. Peter Diamond & John Geanakoplos, 2003. "Social Security Investment in Equities," American Economic Review, American Economic Association, vol. 93(4), pages 1047-1074, September.
    56. Philip Vermeulen, 2018. "How Fat is the Top Tail of the Wealth Distribution?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(2), pages 357-387, June.
    57. O. S. Klass & O. Biham & M. Levy & O. Malcai & S. Solomon, 2007. "The Forbes 400, the Pareto power-law and efficient markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 55(2), pages 143-147, January.
    58. Becker, Gary S & Tomes, Nigel, 1979. "An Equilibrium Theory of the Distribution of Income and Intergenerational Mobility," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1153-1189, December.
    59. Edward N. Wolff, 1987. "Estimates Of Household Wealth Inequality In The U.S., 1962–1983," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 33(3), pages 231-256, September.
    60. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    61. Jappelli, Tullio & Pistaferri, Luigi, 2017. "The Economics of Consumption: Theory and Evidence," OUP Catalogue, Oxford University Press, number 9780199383153.
    62. Marjorie Flavin & Takashi Yamashita, 2002. "Owner-Occupied Housing and the Composition of the Household Portfolio," American Economic Review, American Economic Association, vol. 92(1), pages 345-362, March.
    63. Shenghao Zhu, 2019. "A Becker–Tomes model with investment risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 951-981, June.
    64. PESTIEAU, Pierre & THIBAULT, Emmanuel, 2012. "Love thy children or money. Reflections on debt neutrality and estate taxation," LIDAM Reprints CORE 2396, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    65. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    66. Rafael Lazimy, 2007. "Portfolio selection with divisible and indivisible assets: Mathematical algorithm and economic analysis," Annals of Operations Research, Springer, vol. 152(1), pages 273-295, July.
    67. Vincenzo Quadrini, 1999. "The Importance Of Entrepreneurship For Wealth Concentration And Mobility," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 45(1), pages 1-19, March.
    68. Spencer Bastani & Daniel Waldenström, 2020. "How Should Capital Be Taxed?," Journal of Economic Surveys, Wiley Blackwell, vol. 34(4), pages 812-846, September.
    69. Claudia D’Ambrosio & Andrea Lodi, 2013. "Mixed integer nonlinear programming tools: an updated practical overview," Annals of Operations Research, Springer, vol. 204(1), pages 301-320, April.
    70. Mookherjee, Dilip & Napel, Stefan, 2021. "Welfare rationales for conditionality of cash transfers," Journal of Development Economics, Elsevier, vol. 151(C).
    71. Marcello D’Amato & Christian Pietro, 2014. "Occupational mobility and wealth evolution in a model of educational investment with credit market imperfections," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(1), pages 73-98, March.
    72. Moritz Kuhn, 2013. "Recursive Equilibria In An Aiyagari‐Style Economy With Permanent Income Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 807-835, August.
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    More about this item

    Keywords

    Wealth distribution; Wealth inequality; Capital income risk; Credit market imperfections; Educational investment;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General
    • I24 - Health, Education, and Welfare - - Education - - - Education and Inequality

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