생산함수의 규칙성과 전면적 유연성 분석

국문 초록 (Abstract)

생산함수를 설정할 때 흔히 두 가지 성질을 고려하게 된다. 하나는 생산함수의 규칙성(regularity)인데, 이는 생산함수가 정의역 내의 모든 구간에서 ① 양의 값을 가지고, ② 단순증가함수이며, ③ 준오목성 (quasiconcavity)을 만족할 때 성립된다. 두 번째로 고려할 점은 생산함수의 전면적 유연성(global flexibility)인데, 이는 미지의 원생산함수가 연속함수라는 가정하에서 도입된 생산함수가 원생산함수를 충분히 잘 묘사할 수 있도록 일반화되어 있을 때 성립된다. 흔히 사용되는 콥-더글러스 생산함수나 CES함수는 규칙성을 만족하지만 전면적 유연성을 만족하지 못하고, 초월대수함(translog)나 Fourier Series 등은 전면적 유연성은 만족시키지만 규칙성을 만족하지 못한다. 따라서 규칙성을 가지면서도 충분히 일반화되어 있는 생산함수를 유도하는 것이 중요한 과제이다. 본 논문에서는 베이지안 방법을 이용하여 전면적 유연성을 가진 함수에 규칙성을 부여하는 방법을 제시하고자 한다.

다국어 초록 (Multilingual Abstract)

To choose the functional form for a production function, the regularity condition and global flexibility are often considered. The regularity condition is satisfied when the production function is a positive, monotone increasing quasiconcave function. The Cobb-Douglas and CES functions satisfy the regularity condition, but the translog function does not satisfy the regularity in general. The global flexibility is satisfied when the proposed function can approximate the unknown true function very closely at all points. A polynomial series with infinite number of terms are often considered. The infinite number of parameters is supposed to be estimated with infinite number of observations. A logarithmic polynomial series (which is an extended translog function) and the Fourier flexible forms satisfy the global flexibility, but they do not satisfy the regularity condition.
In this paper, a simple method to impose the regularity condition for the globally flexible functional forms (though truncated) is proposed and examples based on standard econometric software such as Eviews are exhibited. Previous methods require use of complicated computer software such as Tomlab/NPSOL based on Matlab.

목차 (Table of Contents)

• Ⅰ. 서론
• Ⅱ. 생산함수의 규칙성과 전면적 유연성
• Ⅲ. 베이지안 방식을 이용한 규칙성 부여
• Ⅳ. 생산함수의 설정
• Ⅴ. 규칙성이 부여된 모형의 사례분석
• Ⅵ. 결론
• 부록 : 베이지안 POR을 이용한 모형의 선택
• 참고문헌
• [Abstract]

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