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Iosif Sakos

4 accepted papers

2025

Certifying Concavity and Monotonicity in Games via Sum-of-Squares Hierarchies

NeurIPS 2025poster

Concavity and its refinements underpin tractability in multiplayer games, where players independently choose actions to maximize their own payoffs which depend on other players’ actions. In *concave* games, where players' strategy sets are compact and convex, and their payoffs are concave in their o…

Cited by 0SourceScholar
2024

Beating Price of Anarchy and Gradient Descent without Regret in Potential Games

ICLR 2024poster

Arguably one of the thorniest problems in game theory is that of equilibrium selection. Specifically, in the presence of multiple equilibria do self-interested learning dynamics typically select the socially optimal ones? We study a rich class of continuous-time no-regret dynamics in potential games…

Cited by 2SourcePDFScholar
2023

Exploiting hidden structures in non-convex games for convergence to Nash equilibrium

NeurIPS 2023poster

A wide array of modern machine learning applications – from adversarial models to multi-agent reinforcement learning – can be formulated as non-cooperative games whose Nash equilibria represent the system’s desired operational states. Despite having a highly non-convex loss landscape, many cases of…

Cited by 5SourcePDFScholar
2022

Generalized Natural Gradient Flows in Hidden Convex-Concave Games and GANs

ICLR 2022poster

Game-theoretic formulations in machine learning have recently risen in prominence, whereby entire modeling paradigms are best captured as zero-sum games. Despite their popularity, however, their dynamics are still poorly understood. This lack of theory is often substantiated with painful empirical o…

Cited by 9SourcePDFScholar