The complexity of constrained min-max optimization

C Daskalakis, S Skoulakis, M Zampetakis - Proceedings of the 53rd …, 2021 - dl.acm.org
Despite its important applications in Machine Learning, min-max optimization of objective
functions that are nonconvex-nonconcave remains elusive. Not only are there no known first …

When can we learn general-sum Markov games with a large number of players sample-efficiently?

Z Song, S Mei, Y Bai - arXiv preprint arXiv:2110.04184, 2021 - arxiv.org
Multi-agent reinforcement learning has made substantial empirical progresses in solving
games with a large number of players. However, theoretically, the best known sample …

The complexity of markov equilibrium in stochastic games

C Daskalakis, N Golowich… - The Thirty Sixth Annual …, 2023 - proceedings.mlr.press
We show that computing approximate stationary Markov coarse correlated equilibria (CCE)
in general-sum stochastic games is PPAD-hard, even when there are two players, the game …

A survey on algorithms for Nash equilibria in finite normal-form games

H Li, W Huang, Z Duan, DH Mguni, K Shao… - Computer Science …, 2024 - Elsevier
Nash equilibrium is one of the most influential solution concepts in game theory. With the
development of computer science and artificial intelligence, there is an increasing demand …

[图书][B] Twenty lectures on algorithmic game theory

T Roughgarden - 2016 - books.google.com
Computer science and economics have engaged in a lively interaction over the past fifteen
years, resulting in the new field of algorithmic game theory. Many problems that are central …

On improving model-free algorithms for decentralized multi-agent reinforcement learning

W Mao, L Yang, K Zhang… - … Conference on Machine …, 2022 - proceedings.mlr.press
Multi-agent reinforcement learning (MARL) algorithms often suffer from an exponential
sample complexity dependence on the number of agents, a phenomenon known as the …

Breaking the curse of multiagency: Provably efficient decentralized multi-agent rl with function approximation

Y Wang, Q Liu, Y Bai, C Jin - The Thirty Sixth Annual …, 2023 - proceedings.mlr.press
A unique challenge in Multi-Agent Reinforcement Learning (MARL) is the\emph {curse of
multiagency}, where the description length of the game as well as the complexity of many …

On last-iterate convergence beyond zero-sum games

I Anagnostides, I Panageas, G Farina… - International …, 2022 - proceedings.mlr.press
Most existing results about last-iterate convergence of learning dynamics are limited to two-
player zero-sum games, and only apply under rigid assumptions about what dynamics the …

Near-optimal no-regret learning for correlated equilibria in multi-player general-sum games

I Anagnostides, C Daskalakis, G Farina… - Proceedings of the 54th …, 2022 - dl.acm.org
Recently, Daskalakis, Fishelson, and Golowich (DFG)(NeurIPS '21) showed that if all agents
in a multi-player general-sum normal-form game employ Optimistic Multiplicative Weights …

A simple and approximately optimal mechanism for an additive buyer

M Babaioff, N Immorlica, B Lucier… - Journal of the ACM …, 2020 - dl.acm.org
We consider a monopolist seller with n heterogeneous items, facing a single buyer. The
buyer has a value for each item drawn independently according to (non-identical) …