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Superhuman AI for multiplayer poker
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 …
serving as challenge problems, benchmarks, and milestones for progress. Poker has served …
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 …
The complexity of markov equilibrium in stochastic games
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 …
Fast swap regret minimization and applications to approximate correlated equilibria
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 …
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
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 …
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
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 …
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 …
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 …
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
We consider the problem of decentralized multi-agent reinforcement learning in Markov
games. A fundamental question is whether there exist algorithms that, when run …
games. A fundamental question is whether there exist algorithms that, when run …
No-regret learning and mixed nash equilibria: They do not mix
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 …
fundamental question in online learning and game theory. A folk result in the field states that …