Choice-Model-Assisted Q-learning for Delayed-Feedback Revenue Management
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Abstract (arXiv)
We study reinforcement learning for revenue management with delayed feedback, where a substantial fraction of value is determined by customer cancellations and modifications observed days after booking. We propose choice-model-assisted RL: a calibrated discrete choice model is used as a fixed partial world model to impute the delayed component of the learning target at decision time. In the fixed-model deployment regime, we prove that tabular Q-learning with model-imputed targets converges to an O(varepsilon/(1-γ)) neighborhood of the optimal Q-function, where varepsilon summarizes partial-model error, with an additional O(t-1/2) sampling term. Experiments in a simulator calibrated from 61,619 hotel bookings (1,088 independent runs) show: (i) no statistically detectable difference from a maturity-buffer DQN baseline in stationary settings; (ii) positive effects under in-family parameter shifts, with significant gains in 5 of 10 shift scenarios after Holm--Bonferroni correction (up to 12.4%); and (iii) consistent degradation under structural misspecification, where the choice model assumptions are violated (1.4--2.6% lower revenue). These results characterize when partial behavioral models improve robustness under shift and when they introduce harmful bias.
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