Stress Testing Structural Models of Unobserved Heterogeneity: Robust Inference on Optimal Nonlinear Pricing

Working Paper: NBER ID: w31647

Authors: Aaron L. Bodoh-Creed; Brent R. Hickman; John A. List; Ian Muir; Gregory K. Sun

Abstract: We propose a suite of tools for empirical market design in adverse-selection settings where point identification based on exogenous price variation is hampered by multi-dimensional unobserved heterogeneity. Despite significant data limitations, we are able to derive informative bounds on counterfactual consumer demand under out-of-sample price changes. These bounds arise because empirically plausible DGPs must respect the Law of Demand and the observed shift(s) in aggregate demand resulting from a known exogenous price change(s). The bounds facilitate robust policy prescriptions using rich, internal data sources similar to those available in many real- world settings, including our empirical application to rideshare demand. Our partial identification approach enables viable, welfare-improving, nonlinear pricing design while achieving robustness against worst-case deviations from baseline model assumptions. As a side benefit, our framework also provides novel insights into optimal experimental design for pricing RCTs.

Keywords: No keywords provided

JEL Codes: B4; C14; C51; C52; C93; D04; J02; L1; L5


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
observed price changes (E30)shifts in aggregate demand (E00)
rank stability holds (C62)identify utility functions and demand-type distributions (D11)
violations of rank stability (P37)complicate inference (D80)
approach enables estimation of robust lower bounds on price responsiveness (D40)optimal nonlinear pricing design (D40)
optimal subscription offerings can be adjusted (D40)hedge against worst-case scenarios of unobserved consumer behavior (D11)

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