Determination of Pareto Exponents in Economic Models Driven by Markov Multiplicative Processes
Brendan Beare and
Alexis Akira Toda
Econometrica, 2022, vol. 90, issue 4, 1811-1833
Abstract:
This article contains new tools for studying the shape of the stationary distribution of sizes in a dynamic economic system in which units experience random multiplicative shocks and are occasionally reset. Each unit has a Markov‐switching type, which influences their growth rate and reset probability. We show that the size distribution has a Pareto upper tail, with exponent equal to the unique positive solution to an equation involving the spectral radius of a certain matrix‐valued function. Under a nonlattice condition on growth rates, an eigenvector associated with the Pareto exponent provides the distribution of types in the upper tail of the size distribution.
Date: 2022
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https://doi.org/10.3982/ECTA17984
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Working Paper: Determination of Pareto exponents in economic models driven by Markov multiplicative processes (2022) 
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Persistent link: https://EconPapers.repec.org/RePEc:wly:emetrp:v:90:y:2022:i:4:p:1811-1833
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