2019
DOI: 10.1016/j.jet.2019.04.001
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An impossibility theorem for wealth in heterogeneous-agent models with limited heterogeneity

Abstract: It has been conjectured that canonical Bewley-Huggett-Aiyagari heterogeneous-agent models cannot explain the joint distribution of income and wealth. The results stated below verify this conjecture and clarify its implications under very general conditions. We show in particular that if (i) agents are infinitely-lived, (ii) saving is risk-free, and (iii) agents have constant discount factors, then the wealth distribution inherits the tail behavior of income shocks (e.g., light-tailedness or the Pareto exponent… Show more

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Cited by 43 publications
(34 citation statements)
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“…We may thus expect to observe a power law in the size distribution of a population whose members have been growing like geometric Brownian motions since birth, and whose distribution of ages is exponential. The combination of Gibrat’s law with an exponential age distribution as a generative mechanism for power laws has been used extensively in recent economics literature [7] , [8] , [27] , [28] , [29] , [30] , [31] , [32] , [33] , [34] , [35] , [36] , [37] , [38] , [39] , [40] , [41] . Related techniques have also been employed in the physics literature [42] , [43] , [44] , [45] .…”
Section: Introductionmentioning
confidence: 99%
“…We may thus expect to observe a power law in the size distribution of a population whose members have been growing like geometric Brownian motions since birth, and whose distribution of ages is exponential. The combination of Gibrat’s law with an exponential age distribution as a generative mechanism for power laws has been used extensively in recent economics literature [7] , [8] , [27] , [28] , [29] , [30] , [31] , [32] , [33] , [34] , [35] , [36] , [37] , [38] , [39] , [40] , [41] . Related techniques have also been employed in the physics literature [42] , [43] , [44] , [45] .…”
Section: Introductionmentioning
confidence: 99%
“…The power law literature identifies various plausible mechanisms (e.g., birth and death processes, creative destruction, stochastic-beta, heterogeneity in returns, and others) that can generate a Pareto tail in steady state (Benhabib et al, 2011(Benhabib et al, , 2013(Benhabib et al, , 2014Stachurski and Toda, 2019). Furthermore, as Gabaix, Lasry, Lions and Moll (2016) show, when the heterogeneity in returns is persistent, these models generate behavior that is also consistent with the dynamics of inequality.…”
Section: Related Literaturementioning
confidence: 94%
“…15 For an illuminating recent discussion, see Benhabib, Bisin, & Luo (2017). 16 See Stachurski & Toda (2019). 17 In Kaymak and Poschke's work, the long-run wealth distribution does not have a Pareto tail.…”
Section: Connections To the Recent Macro-inequality Literaturementioning
confidence: 99%