Causal Inference with Endogenous Price Response

Przemyslaw Jeziorski, Dingzhe Leng and Stephan Seiler

No 11898, CESifo Working Paper Series from CESifo

Abstract: We study the estimation of causal treatment effects on demand when treatment is randomly assigned but prices adjust in response to treatment. We show that regressions of demand on treatment or on treatment and price lead to biased estimates of the direct treatment effect. The bias in both cases depends on the correlation of price with treatment and points in the same direction. In most cases including an endogenous price control reduces bias but does not remove it. We show how to test whether bias from an endogenous price response arises and how to recover an unbiased treatment effect (holding price constant) using a price instrument. We apply our approach to the estimation of the impact of feature advertising across several product categories using supermarket scanner data and show that the bias when not instrumenting for price can be substantial.

Keywords: causal Inference; endogeneity; endogenous controls; instrumental variables (search for similar items in EconPapers)
JEL-codes: C26 C31 D12 M31 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:ces:ceswps:_11898

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