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Constructing effective algorithms to converge to Nash Equilibrium (NE) is an important problem in algorithmic game theory. Prior research generally posits that the upper bound on the convergence rate for games is $O\left(T^{-1/2}\right)$.…

计算机科学与博弈论 · 计算机科学 2024-09-06 Qi Ju , Falin Hei , Yuxuan Liu , Zhemei Fang , Yunfeng Luo

The long-run behavior of multi-agent learning - and, in particular, no-regret learning - is relatively well-understood in potential games, where players have aligned interests. By contrast, in harmonic games - the strategic counterpart of…

计算机科学与博弈论 · 计算机科学 2024-12-31 Davide Legacci , Panayotis Mertikopoulos , Christos H. Papadimitriou , Georgios Piliouras , Bary S. R. Pradelski

This paper investigates the problem of computing the equilibrium of competitive games, which is often modeled as a constrained saddle-point optimization problem with probability simplex constraints. Despite recent efforts in understanding…

最优化与控制 · 数学 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

Imperfect-Information Extensive-Form Games (IIEFGs) is a prevalent model for real-world games involving imperfect information and sequential plays. The Extensive-Form Correlated Equilibrium (EFCE) has been proposed as a natural solution…

机器学习 · 计算机科学 2022-05-17 Ziang Song , Song Mei , Yu Bai

We study the problem of computing an Extensive-Form Perfect Equilibrium (EFPE) in 2-player games. This equilibrium concept refines the Nash equilibrium requiring resilience w.r.t. a specific vanishing perturbation (representing mistakes of…

计算机科学与博弈论 · 计算机科学 2016-11-16 Gabriele Farina , Nicola Gatti

We study equilibrium computation with extensive-form correlation in two-player turn-taking stochastic games. Our main results are two-fold: (1) We give an algorithm for computing a Stackelberg extensive-form correlated equilibrium (SEFCE),…

计算机科学与博弈论 · 计算机科学 2024-12-24 Hanrui Zhang , Yu Cheng , Vincent Conitzer

This paper investigates the sublinear regret guarantees of two non-no-regret algorithms in zero-sum games: Fictitious Play, and Online Gradient Descent with constant stepsizes. In general adversarial online learning settings, both…

机器学习 · 计算机科学 2025-06-17 John Lazarsfeld , Georgios Piliouras , Ryann Sim , Andre Wibisono

Characterizing the performance of no-regret dynamics in multi-player games is a foundational problem at the interface of online learning and game theory. Recent results have revealed that when all players adopt specific learning algorithms,…

计算机科学与博弈论 · 计算机科学 2023-11-28 Ioannis Anagnostides , Alkis Kalavasis , Tuomas Sandholm , Manolis Zampetakis

Learning and equilibrium computation in games are fundamental problems across computer science and economics, with applications ranging from politics to machine learning. Much of the work in this area revolves around a simple algorithm…

计算机科学与博弈论 · 计算机科学 2022-07-19 Daniel Beaglehole , Max Hopkins , Daniel Kane , Sihan Liu , Shachar Lovett

Effective action abstraction is crucial in tackling challenges associated with large action spaces in Imperfect Information Extensive-Form Games (IIEFGs). However, due to the vast state space and computational complexity in IIEFGs, existing…

计算机科学与博弈论 · 计算机科学 2024-03-08 Boning Li , Zhixuan Fang , Longbo Huang

A conceptually appealing approach for learning Extensive-Form Games (EFGs) is to convert them to Normal-Form Games (NFGs). This approach enables us to directly translate state-of-the-art techniques and analyses in NFGs to learning EFGs, but…

机器学习 · 计算机科学 2022-10-28 Yu Bai , Chi Jin , Song Mei , Ziang Song , Tiancheng Yu

Monte Carlo Counterfactual Regret Minimization (MCCFR) has emerged as a cornerstone algorithm for solving extensive-form games, but its integration with deep neural networks introduces scale-dependent challenges that manifest differently…

人工智能 · 计算机科学 2026-01-29 Zakaria El Jaafari

Mean Field Games (MFGs) have been introduced to efficiently approximate games with very large populations of strategic agents. Recently, the question of learning equilibria in MFGs has gained momentum, particularly using model-free…

Recent techniques for approximating Nash equilibria in very large games leverage neural networks to learn approximately optimal policies (strategies). One promising line of research uses neural networks to approximate counterfactual regret…

计算机科学与博弈论 · 计算机科学 2022-10-12 Stephen McAleer , Gabriele Farina , Marc Lanctot , Tuomas Sandholm

The extensive-form game has been studied considerably in recent years. It can represent games with multiple decision points and incomplete information, and hence it is helpful in formulating games with uncertain inputs, such as poker. We…

计算机科学与博弈论 · 计算机科学 2023-03-21 Keigo Habara , Ellen Hidemi Fukuda , Nobuo Yamashita

Pasur is a fishing card game played over six rounds and is played similarly to games such as Cassino and Scopa, and Bastra. This paper introduces a CUDA-accelerated computational framework for simulating Pasur, emphasizing efficient memory…

人工智能 · 计算机科学 2025-08-12 Sina Baghal

We study the long-term behavior of the fictitious play process in repeated extensive-form games of imperfect information with perfect recall. Each player maintains incorrect beliefs that the moves at all information sets, except the one at…

计算机科学与博弈论 · 计算机科学 2025-04-28 Jason Castiglione , Gürdal Arslan

Extensive-form games (EFGs) are a common model of multi-agent interactions with imperfect information. State-of-the-art algorithms for solving these games typically perform full walks of the game tree that can prove prohibitively slow in…

计算机科学与博弈论 · 计算机科学 2019-07-24 Trevor Davis , Martin Schmid , Michael Bowling

The existence of simple uncoupled no-regret learning dynamics that converge to correlated equilibria in normal-form games is a celebrated result in the theory of multi-agent systems. Specifically, it has been known for more than 20 years…

计算机科学与博弈论 · 计算机科学 2021-05-28 Gabriele Farina , Andrea Celli , Alberto Marchesi , Nicola Gatti

In this work, we introduce the concept of non-negative weighted regret, an extension of non-negative regret \cite{anagnostides2022last} in games. Investigating games with non-negative weighted regret helps us to understand games with…

计算机科学与博弈论 · 计算机科学 2025-05-22 Nanxiang Zhou , Jing Dong , Baoxiang Wang