Demand Estimation with Variable Choice Sets: A Likelihood Correction for Nested Logit

📅 2026-09-11
📈 Citations: 0
Influential: 0
📄 PDF
🤖 AI Summary
本文解决了需求估计中选择集变化的问题,通过修正嵌套logit模型的似然函数来准确估计替代效应和拥挤效应。
📝 Abstract
We derive the exact likelihood of the Berry (1994) share-form nested logit and show it contains a Jacobian term that depends on nest size and the nesting parameter. Omitting the term biases within-nest substitution estimates wherever choice sets vary across markets. Commonly-used count instruments for the within-nest share fail exclusion when product counts enter demand directly. The corrected likelihood identifies substitution without them, making crowding estimable. We apply the estimator to Medicare Advantage plan proliferation after 2019 elimination of the ``meaningful difference'' requirement. Estimates indicate plan proliferation raised consumer surplus in most markets, but ignoring crowding overstates the gains.
Problem

Research questions and friction points this paper is trying to address.

Demand Estimation
Nested Logit
Choice Sets
Jacobian Term
Substitution Estimates
Innovation

Methods, ideas, or system contributions that make the work stand out.

exact likelihood
Jacobian term
nest size
nesting parameter
substitution estimates
🔎 Similar Papers
2019-08-02Social Science Research NetworkCitations: 18
M
Matthew J. Baker
Department of Economics, Hunter College and the Graduate Center, CUNY
L
Lisa M. George
Department of Economics, Hunter College and the Graduate Center, CUNY