Hicks neutrality and homotheticity in technologies with multiple inputs and multiple outputs

被引：5
|
作者：
Fare, Rolf [1 ,2 ]
Mizobuchi, Hideyuki [3 ]
Zelenyuk, Valentin [4 ,5 ]
机构：
[1] Oregon State Univ, Dept Econ, Corvallis, OR USA
[2] Univ Maryland, Dept Agr & Resource Econ, Corvallis, OR USA
[3] Ryukoku Univ, Fac Econ, Fushimi Ku, 67 Fukakusa Tsukamoto Cho, Kyoto 6128577, Japan
[4] Univ Queensland, Sch Econ, 530,Colin Clark Bldg 39, Brisbane, Qld 4072, Australia
[5] Univ Queensland, Ctr Efficiency & Prod Anal, 530,Colin Clark Bldg 39, Brisbane, Qld 4072, Australia
来源：
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE | 2021年 / 101卷
基金：
日本学术振兴会; 澳大利亚研究理事会;
关键词：
Hicks neutrality; Hicks input neutrality; Hicks output neutrality; Homotheticity; Input homotheticity; Output homotheticity; Inverse homotheticity; alpha-returns to scale technology; Malmquist productivity index; Hicks-Moorsteen productivity index;
D O I：
10.1016/j.omega.2020.102240
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
We analyze two popular notions in production theory: the notion of Hicks neutral technical change and the notion of homothetic technology. Both of these notions are characterized by the radial expansions or contractions of the relevant isoquants, yet in different ways. In the case of multiple-input and multiple output, an isoquant is characterized by either the input or output combinations. Thus, for each of these notions, there are two types of conditions: one is based on the input isoquants and the other is based on the output isoquants. We show that for each notion, these two conditions are equivalent under the alpha-returns to scale technology. From this result, we also derive several implications for the properties of well-known productivity indexes, such as the Malmquist productivity index and the Hicks-Moorsteen productivity index. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：8
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