Randomized Learning-Augmented Auctions with Revenue Guarantees
Randomized Learning-Augmented Auctions with Revenue Guarantees
Ioannis Caragiannis, Georgios Kalantzis
Proceedings of the Thirty-Third International Joint Conference on Artificial Intelligence
Main Track. Pages 2687-2694.
https://doi.org/10.24963/ijcai.2024/297
We consider the fundamental problem of designing a truthful single-item auction with the challenging objective of extracting a large fraction of the highest agent valuation as revenue. Following a recent trend in algorithm design, we assume that the agent valuations belong to a known interval, and a prediction for the highest valuation is available. Then, auction design aims for high consistency and robustness, meaning that, for appropriate pairs of values γ and ρ, the extracted revenue should be at least a γ- or ρ-fraction of the highest valuation when the prediction is correct for the input instance or not. We characterize all pairs of parameters γ and ρ so that a randomized γ-consistent and ρ-robust auction exists. Furthermore, for the setting in which robustness can be a function of the prediction error, we give sufficient and necessary conditions for the existence of robust auctions and present randomized auctions that extract a revenue that is only a polylogarithmic (in terms of the prediction error) factor away from the highest agent valuation.
Keywords:
Game Theory and Economic Paradigms: GTEP: Mechanism design
Game Theory and Economic Paradigms: GTEP: Auctions and market-based systems
Game Theory and Economic Paradigms: GTEP: Noncooperative games