An axiomatic foundation of conditional logit
为McFadden的条件Logit模型提供了基于四个不变性假设的公理化基础,这些假设仅涉及可观测变量,可直接检验,并推广到广义Logit和情境Logit模型。
Abstract This paper considers a decision maker choosing from a set of options when options have multiple real-valued attributes. Assuming DM chooses all options with positive probability, four invariance assumptions are necessary and sufficient for choice probabilities to take McFadden’s conditional logit form: independence of irrelevant alternatives, translation invariance, presentation independence and context independence. Variations on these assumptions yield generalized logit and contextual logit models. This shows that even specific logit models have behavioral foundations in simple invariance assumptions involving observables only, which therefore are directly testable.