Determination of Pareto exponents in economic models driven by Markov multiplicative processes

• Tác giả: Brendan K Beare, Alexis Akira Toda
• Ngôn ngữ: eng
• Ký hiệu phân loại: 338.5 General production economics
• Thông tin xuất bản: 2017
• Bộ sưu tập: Metadata
• ID: 161681

Tóm tắt

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 non-lattice condition on growth rates, an eigenvector associated with the Pareto exponent provides the distribution of types in the upper tail of the size distribution.