We developed an integer programing extreme value (IPEV) model that accounts the integer property of trip data and has the same advantages as the multiple discrete–continuous extreme value choice (MDCEV) model. The proposed model is consistent with utility theory and provides a single structural framework for simultaneously modeling the choice of alternatives and quantity decisions with the constraint of the integer value of consumption. We demonstrate that the proposed model has a closed-form probability expression. Finally, we apply the proposed model to the recreation demand for national parks in Japan. The empirical results suggest that the proposed model provides a better fit for the data than the previous model and that ignoring the integer property of demand might cause an underestimation of the welfare loss.

中文翻译：

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整数规划极值（IPEV）模型：休闲旅行需求估算的应用


我们开发了一种整数规划极值（IPEV）模型，该模型考虑了行程数据的整数属性，并且具有与多重离散连续极值选择（MDCEV）模型相同的优点。所提出的模型与效用理论一致，并提供了一个单一的结构框架，可以在消费整数值的约束下同时对替代方案的选择和数量决策进行建模。我们证明所提出的模型具有封闭形式的概率表达式。最后，我们将所提出的模型应用于日本国家公园的休闲需求。实证结果表明，所提出的模型比以前的模型更适合数据，并且忽略需求的整数属性可能会导致福利损失的低估。