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Proxy variables and feedback effects in decision making

Alexander Clyde

Games and Economic Behavior, 2025, vol. 153, issue C, 408-429

Abstract: When using data, an analyst often only has access to proxies of the true variables. I propose a framework that models decision makers who naively assume potentially noisy proxy variables are perfect measurements. Due to feedback from choices into data, a notion of equilibrium is required to close the model. I illustrate the concept with applications to policing/crime and market entry. In these applications, we see that very small imperfections in the proxy variable can lead to large distortions in beliefs. I show that the set of strategies that can arise as equilibria with arbitrarily close to perfect measurement coincides with a version of Self-Confirming Equilibrium.

Keywords: Proxy variables; Bounded rationality; Expectations; Misspecified models (search for similar items in EconPapers)
JEL-codes: D91 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:153:y:2025:i:c:p:408-429

DOI: 10.1016/j.geb.2025.07.008

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