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A nonparametric test of quasiconcave production function with variable returns to scale

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Abstract Modeling “quasiconcavity” and “variable returns to scale” simultaneously is a challenging task. This paper defines variable returns to scale vigorously and explores its relationships with elasticity of scale and… Click to show full abstract

Abstract Modeling “quasiconcavity” and “variable returns to scale” simultaneously is a challenging task. This paper defines variable returns to scale vigorously and explores its relationships with elasticity of scale and S-shaped functions. To check empirical data for consistency with both properties, this paper extends the current nonparametric tests for quasiconcave function to include both increasing and decreasing returns to scale. To accomplish this task, an empirical quasiconcave production function that exhibits variable returns to scale is introduced.

Keywords: returns scale; production function; quasiconcave production; variable returns

Journal Title: Journal of Mathematical Economics
Year Published: 2019

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