Journal of Korean Society of Transportation (대한교통학회지)

Korean Society of Transportation (대한교통학회)
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Utility Maximization, The Shapes of the Indifference Curve on the Characteristic Space and its Estimation: A Theoretical Approach

개인여객 효용의 극대화 및 운송특성공간상의 무차별곡선의 형태와 그 추정

  • 김종석 (한국해양대학교 국제무역경제학부)
  • Published : 2009.04.30
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Abstract

The random utility theory and the multinomial logit model (including a more recent variant--the mixed multinomial logit) derived from it have constituted a back bone for theoretical and empirical analyses of various travel demand features including mode choice. In their empirical applications, however, it is customary to specify random utilities which are linear in modal attributes such as time and cost, and in socio-economic variables. The linearity helps easy derivation of important information such as value of travel time savings by calculating marginal rate of substitution between time and cost. In this paper the author focuses on the very linearity of the random utilities. Taking into account the fact that the mode chooser is also labour supplier, commodity consumer as well as leisure-seeker, the author sets up a maximization model of the traveller, which encompasses various economic activities of the traveller. The author derive from the model the indifference curve defined on the space of modal attributes, time and cost and investigate under what conditions the random utility of the traveller becomes linear. It turns out that there exist the conditions under which the random utility is really linear in modal attributes, but the property does not hold when the traveller has a corner solution on the space of modal attributes, or when the primary utility function of the traveller is directly affected by labour provided and/or the travel time itself. As a corollary of the analysis, a random utility is suggested, approximated up to the second order of the variables involved for empirical studies of the field.

개인여객이 운송수단을 선택하여 얻는 효용은 시간, 비용 등의 운송특성과 소득 등 개인특성의 함수이다. 기존 연구에서는 일반적으로 운송특성이 여객효용에 미치는 효과를 추정하기 위한 방법으로 운송특성변수에 대해 선형인 효용함수를 전제로 한 무작위 효용모형을 이용하여 왔다. 그러나 본 논문에서는 개인여객의 효용극대화를 분석하는 방법으로서 운송수단선택행위가 소비, 여가, 소득창출 등 보다 본원적인 활동으로부터 파생된다는 점에 주목하여, 다시 말해, 개인의 본원적 활동에 따른 효용극대화 관점에서 운송수단선택에 따른 효용이 진정으로 선형의 형태를 지니고 있는지를 살펴보았다. 이론적 결론은 첫째, 본원적 활동에 따른 효용이 소비와 여가만의 함수일 때 선형가정은 운송시간의 일부구간에서 진실이다. 둘째, 만일 효용이 노동활동이나 운송시간에 의해 직접 영향을 받을 경우 운송특성에 따른 효용의 선형성은 극단적인 상황이 아니면 성립하지 않는다. 따라서 운송특성에 따른 효용의 크기를 추정하기 위해선 선형이 아닌 보다 일반화된 함수에서의 근사가 요구된다.

Keywords

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