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Two Level Nested and Sequential Logit

This technical note provides comprehensive derivations of fundamental equations in two-level nested and sequential logit models for analyzing hierarchical choice structures. We present derivations of the Berry (1994) inversion formula, nested inclusive values computation, and multi-level market share equations, complementing existing literature. While conceptually distinct, nested and sequential logit models share mathematical similarities and, under specific distributional assumptions, yield identical inversion formulas—offering valuable analytical insights. These notes serve as a practical reference for researchers implementing multi-level discrete choice models in empirical applications, particularly in industrial organization and demand estimation contexts, and complement Mansley et al. (2019).

[Preprint] [Versions Repo (arXiv)]