Nonparametric Demand Identification Without Exogenous Characteristics

Published:Dec 29, 2025 05:19
1 min read
ArXiv

Analysis

This paper challenges the conventional wisdom that exogenous product characteristics are necessary for identifying differentiated product demand. It proposes a method using 'recentered instruments' that combines price shocks and endogenous characteristics, offering a potentially more flexible approach. The core contribution lies in demonstrating identification under weaker assumptions and introducing the 'faithfulness' condition, which is argued to be a technical, rather than economic, restriction. This could have significant implications for empirical work in industrial organization, allowing researchers to identify demand functions in situations where exogenous characteristic data is unavailable or unreliable.

Reference

Price counterfactuals are nonparametrically identified by recentered instruments -- which combine exogenous shocks to prices with endogenous product characteristics -- under a weaker index restriction and a new condition we term faithfulness.