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Dynamic Selection in Algorithmic Decision-making

Jin Li, Ye Luo and Xiaowei Zhang

Papers from arXiv.org

Abstract: This paper identifies and addresses dynamic selection problems in online learning algorithms with endogenous data. In a contextual multi-armed bandit model, a novel bias (self-fulfilling bias) arises because the endogeneity of the data influences the choices of decisions, affecting the distribution of future data to be collected and analyzed. We propose an instrumental-variable-based algorithm to correct for the bias. It obtains true parameter values and attains low (logarithmic-like) regret levels. We also prove a central limit theorem for statistical inference. To establish the theoretical properties, we develop a general technique that untangles the interdependence between data and actions.

Date: 2021-08, Revised 2023-09
New Economics Papers: this item is included in nep-ecm and nep-isf
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Citations: View citations in EconPapers (1)

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