Superhuman AI for multiplayer poker

N Brown, T Sandholm - Science, 2019 - science.org
In recent years there have been great strides in artificial intelligence (AI), with games often
serving as challenge problems, benchmarks, and milestones for progress. Poker has served …

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 …

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 …

Fast swap regret minimization and applications to approximate correlated equilibria

B Peng, A Rubinstein - Proceedings of the 56th Annual ACM Symposium …, 2024 - dl.acm.org
We give a simple and computationally efficient algorithm that, for any constant ε> 0, obtains ε
T-swap regret within only T=(n) rounds; this is an exponential improvement compared to the …

Course match: A large-scale implementation of approximate competitive equilibrium from equal incomes for combinatorial allocation

E Budish, GP Cachon, JB Kessler… - Operations …, 2017 - pubsonline.informs.org
Combinatorial allocation involves assigning bundles of items to agents when the use of
money is not allowed. Course allocation is one common application of combinatorial …

[HTML][HTML] Dynamical analysis of the nonlinear complex fractional emerging telecommunication model with higher–order dispersive cubic–quintic

C Park, MMA Khater, AH Abdel-Aty, RAM Attia… - Alexandria Engineering …, 2020 - Elsevier
In this paper, a nonlinear fractional emerging telecommunication model with higher–order
dispersive cubic–quintic is studied by using two recent computational schemes. This kind of …

Zero-sum polymatrix games with link uncertainty: A Dempster-Shafer theory solution

X Deng, W Jiang, Z Wang - Applied Mathematics and Computation, 2019 - Elsevier
Polymatrix games belong to a class of multi-player games, in which players interact
pairwisely and the underlying pairwise interactions are defined by a simple undirected …

Settling the complexity of computing approximate two-player Nash equilibria

A Rubinstein - ACM SIGecom Exchanges, 2017 - dl.acm.org
In our recent paper [Rubinstein 2016] we rule out a PTAS for the 2-Player Nash Equilibrium
Problem. More precisely, we prove that there exists a constant ϵ> 0 such that, assuming the …

Hardness of independent learning and sparse equilibrium computation in markov games

DJ Foster, N Golowich… - … Conference on Machine …, 2023 - proceedings.mlr.press
We consider the problem of decentralized multi-agent reinforcement learning in Markov
games. A fundamental question is whether there exist algorithms that, when run …

No-regret learning and mixed nash equilibria: They do not mix

EV Vlatakis-Gkaragkounis, L Flokas… - Advances in …, 2020 - proceedings.neurips.cc
Understanding the behavior of no-regret dynamics in general N-player games is a
fundamental question in online learning and game theory. A folk result in the field states that …