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Economic Arbitrage and the Econophysics of Income Inequality

Anwar Shaikh () and Juan Jacobo ()

Review of Behavioral Economics, 2020, vol. 7, issue 4, 299–315

Abstract: Yakovenko and his co-authors have established that the bottom 97– 99% of individual incomes (labor incomes) follow a near-exponential distribution while the top incomes (property incomes) follow a power law. Initial explanations of these patterns relied on various monetary analogues to the physics principle of energy conservation. Subsequent approaches turned to the stochastic dynamics of economic processes, including those of labor and property income modeled as a drift-diffusion processes. Our paper is in the latter tradition, but our specifications of drift-diffusions are derived from the fundamental economic principle of turbulent arbitrage modeled as a mean-reverting process. This approach is well developed in the domain of interest rate arbitrage as in the case of CIR models. Our contribution is to demonstrate that arbitrage can also explain the observed distributions of wages, rates of return on assets, and property income. In the energy conservation approach, stationary distributions are derived from the assumption of entropy maximization. In both stochastic dynamics approaches, the dynamic paths give rise to stationary distributions that turn out to be entropy maximizing.

Keywords: Economics; arbitrage; econophysics; income distribution; entropy maximization; Fokker–Planck equations (search for similar items in EconPapers)
JEL-codes: B12 C10 C18 D31 D33 (search for similar items in EconPapers)
Date: 2020
References: Add references at CitEc
Citations: View citations in EconPapers (3)

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Working Paper: Economic Arbitrage and the Econophysics of Income Inequality (2019) Downloads
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