Price optimization under the extended nested logit model |
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Affiliation: | 1. School of Management and Engineering, Nanjing University, Nanjing, 210093, China;2. School of Data Science, The Chinese University of Hong Kong, Shenzhen, 518172, China;3. Shenzhen Research Institute of Big Data, Shenzhen, 518172, China |
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Abstract: | We examine multi-product price optimization of the extended nested logit (ENL) model proposed by Kovach and Tserenjigmid, including the nested logit, increasing linear nested stochastic, and two-stage nested attraction models as special cases. The well-known constant adjusted markup and adjusted nest-level markup properties are extended to ENL. In addition, we present sufficient conditions under which the objective function is unimodal. We also provide the upper and lower bounds of the optimal adjusted nest-level markup when preconditions are not met. |
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Keywords: | Price optimization Discrete choice model Extended nested logit |
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