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In game-theoretic learning, several agents are simultaneously following their individual interests, so the environment is non-stationary from each player's perspective. In this context, the performance of a learning algorithm is often…

计算机科学与博弈论 · 计算机科学 2021-10-19 Yu-Guan Hsieh , Kimon Antonakopoulos , Panayotis Mertikopoulos

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

最优化与控制 · 数学 2022-04-06 Yuanhanqing Huang , Jianghai Hu

In the classical communication setting multiple senders having access to the same source of information and transmitting it over channel(s) to a receiver in general leads to a decrease in estimation error at the receiver as compared with…

计算机科学与博弈论 · 计算机科学 2023-06-27 Raj Kiriti Velicheti , Melih Bastopcu , Tamer Başar

In a multi-objective game, each individual's payoff is a \emph{vector-valued} function of everyone's actions. Under such vectorial payoffs, Pareto-efficiency is used to formulate each individual's best-response condition, inducing…

计算机科学与博弈论 · 计算机科学 2018-09-14 Anisse Ismaili

Learning from repeated play in a fixed two-player zero-sum game is a classic problem in game theory and online learning. We consider a variant of this problem where the game payoff matrix changes over time, possibly in an adversarial…

机器学习 · 计算机科学 2022-02-01 Mengxiao Zhang , Peng Zhao , Haipeng Luo , Zhi-Hua Zhou

In common-interest stochastic games all players receive an identical payoff. Players participating in such games must learn to coordinate with each other in order to receive the highest-possible value. A number of reinforcement learning…

人工智能 · 计算机科学 2011-06-28 R. I. Brafman , M. Tennenholtz

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

最优化与控制 · 数学 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

In many competitive settings, from education to politics, rules do not reward effort evenly, and thresholds (e.g., grade cutoffs or electoral majorities) make some moments disproportionately important. Success thus depends on efficiently…

计算机科学与博弈论 · 计算机科学 2026-01-23 Masatsugu Yoshizawa , Yuta Kawamoto , Daisuke Takeshita

This paper studies the distributed generalized Nash equilibrium seeking problem for aggregative games with coupling constraints, where each player optimizes its strategy depending on its local cost function and the estimated strategy…

最优化与控制 · 数学 2025-03-12 Wenqing Zhao , Antai Xie , Yuchi Wu , Xinlei Yi , Xiaoqiang Ren

The game-theoretic risk management framework put forth in the precursor work "Towards a Theory of Games with Payoffs that are Probability-Distributions" (arXiv:1506.07368 [q-fin.EC]) is herein extended by algorithmic details on how to…

综合经济学 · 经济学 2020-04-10 Stefan Rass

Our paper studies the setting of players using no-regret algorithms in various two-player games. We address whether having stronger regret guarantees or playing against an opponent with weaker regret guarantees yields higher utilities for…

计算机科学与博弈论 · 计算机科学 2026-04-29 R. Xu , E. Yachbes , J. Zhang

An individual can only experience regret if she learns about an unchosen alternative. In many situations, learning about an unchosen alternative is possible only if someone else chose it. We develop a model where the ex-post information…

理论经济学 · 经济学 2023-07-18 Claudia Cerrone , Francesco Feri , Philip R. Neary

In this paper we consider a distributed coordination game played by a large number of agents with finite information sets, which characterizes emergence of a single dominant attribute out of a large number of competitors. Formally, $N$…

经济学 · 定量金融 2016-12-21 S. Agarwal , D. Ghosh , A. S. Chakrabarti

Modern random access mechanisms combine packet repetitions with multi-user detection mechanisms at the receiver to maximize the throughput and reliability in massive Internet of Things (IoT) scenarios. However, optimizing the access policy,…

Games with incomplete preferences are an important model for studying rational decision-making in scenarios where players face incomplete information about their preferences and must contend with incomparable outcomes. We study the problem…

计算机科学与博弈论 · 计算机科学 2024-08-13 Abhishek N. Kulkarni , Jie Fu , Ufuk Topcu

We consider decentralized stochastic multi-armed bandit problem with multiple players in the case of different communication probabilities between players. Each player makes a decision of pulling an arm without cooperation while aiming to…

机器学习 · 计算机科学 2017-11-07 Noyan Evirgen , Alper Kose

This work studies Nash equilibrium seeking for a class of stochastic aggregative games, where each player has an expectation-valued objective function depending on its local strategy and the aggregate of all players' strategies. We propose…

最优化与控制 · 数学 2022-05-17 Tongyu Wang , Peng Yi , Jie Chen

Nash equilibrium serves as a fundamental mathematical tool in economics and game theory. However, it classically assumes knowledge of player utilities, whereas economics generally regards preferences as more fundamental. To leverage…

计算机科学与博弈论 · 计算机科学 2026-05-11 Ian Gemp , Crystal Qian , Marc Lanctot , Kate Larson

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

计算机科学与博弈论 · 计算机科学 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

最优化与控制 · 数学 2018-04-13 Tatiana Tatarenko