Author

Christian Kroer

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Preprint Oct 2026

Impossibility of No-Regret in Multi-Agent Bidding

We consider $T$ repeated second-price auctions across $n$ pacing bidders with i.i.d. item arrivals, and show that it is computationally impossible for all bidders to achieve no-regret simultaneously while satisfying their respective budget or return-on-investment constraints. Therefore, in the prominent internet auctio...

Zong-Jun Yang, Rachitesh Kumar, Christian Kroer · 0 citations

Aug 2026

Separation of Nonergodic Uniform Convergence Rates for Regularized Learning in Games

Convergence of Optimistic Learning in Games and the Role of Forgetfulness Online learning algorithms solve games by repeatedly updating players’ strategies. A natural hope is that the latest strategy improves at a predictable rate. This paper shows that this intuition can fail for optimistic follow-the-regularized-lea...

Yang Cai, Gabriele Farina, J. Grand-Clément et al. · Operational Research · 0 citations