Author

Matteo Castiglioni

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Preprint Oct 2026

Support-Dependent Regret Rates for Profit Maximization in Multilateral Trade

We study online profit maximization in multilateral trade, a setting that generalizes both dynamic pricing and bilateral trade. At each round, an intermediary posts prices to buyers and offers payments to sellers; trade occurs only if every agent accepts. We consider valuations drawn from an unknown joint distribution,...

Francesco Bacchiocchi, Matteo Castiglioni, Anna Lunghi et al. · 0 citations

Jul 2026

Breaking the T3/4 Barrier for Regret Minimization With Bi-Dimensional CDFs

An algorithm achieving regret $\widetilde{\mathcal{O}}(T^{7/10})$ is designed, improving over the previous best-known bound of $\widetilde{\mathcal{O}}(T^{3/4})$ and showing that the curse of dimensionality can be at least partially lifted for this class of objectives.

Matteo Castiglioni, Anna Lunghi, A. Marchesi · arXiv.org · 0 citations

Jul 2026

A Unifying Framework for Quasi-Polynomial Optimization of Fixed-degree Polynomials

We study the simultaneous approximation of constant-degree polynomials over convex sets. For any family of $m$ degree-$d$ polynomials and any convex set ${H} \subseteq \mathbb{R}_{\ge0}^n$, we construct an $\epsilon$-Cover of the joint value set $\{(f_1(x), \dots, f_m(x)) : x \in {H}\}$ in the $\ell_\infty$-norm. This...

Martino Bernasconi, Matteo Castiglioni, Andrea Celli et al. · arXiv.org · 1 citation