The complexity of constrained min-max optimization
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 …
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?
Multi-agent reinforcement learning has made substantial empirical progresses in solving
games with a large number of players. However, theoretically, the best known sample …
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 …
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
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 …
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 …
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
Multi-agent reinforcement learning (MARL) algorithms often suffer from an exponential
sample complexity dependence on the number of agents, a phenomenon known as the …
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
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 …
multiagency}, where the description length of the game as well as the complexity of many …
On last-iterate convergence beyond zero-sum games
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 …
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
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 …
in a multi-player general-sum normal-form game employ Optimistic Multiplicative Weights …
A simple and approximately optimal mechanism for an additive buyer
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) …
buyer has a value for each item drawn independently according to (non-identical) …