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

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  • Li, Sung-Ko

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.

Suggested Citation

  • Li, Sung-Ko, 2019. "A nonparametric test of quasiconcave production function with variable returns to scale," Journal of Mathematical Economics, Elsevier, vol. 82(C), pages 160-170.
    • Handle: RePEc:eee:mateco:v:82:y:2019:i:c:p:160-170
    DOI: 10.1016/j.jmateco.2018.12.003
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    Cited by:

    1. Kristiaan Kerstens & Ignace Van de Woestyne, 2021. "Cost functions are nonconvex in the outputs when the technology is nonconvex: convexification is not harmless," Annals of Operations Research, Springer, vol. 305(1), pages 81-106, October.
    2. Tao, Xiangyang & An, Qingxian & Goh, Mark, 2024. "Plant capacity utilization with piecewise Cobb-Douglas technology: Definition and interpretation," European Journal of Operational Research, Elsevier, vol. 316(3), pages 1034-1043.
    3. Walter Briec, 2021. "Distance Functions and Generalized Means: Duality and Taxonomy," Papers 2112.09443, arXiv.org, revised May 2023.
    4. An, Qingxian & Zhang, Qiaoyu & Tao, Xiangyang, 2023. "Pay-for-performance incentives in benchmarking with quasi S-shaped technology," Omega, Elsevier, vol. 118(C).

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