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In this paper, the problem of finding a generalized Nash equilibrium (GNE) of a networked game is studied. Players are only able to choose their decisions from a feasible action set. The feasible set is considered to be a private linear…

计算机科学与博弈论 · 计算机科学 2017-03-27 Farzad Salehisadaghiani , Lacra Pavel

We extend recent analyses of stochastic effects in game dynamical learning to cases of multi-player games, and to games defined on networked structures. By means of an expansion in the noise strength we consider the weak-noise limit, and…

物理与社会 · 物理学 2012-04-20 Alex J. Bladon , Tobias Galla

We provide a distributed algorithm to learn a Nash equilibrium in a class of non-cooperative games with strongly monotone mappings and unconstrained action sets. Each player has access to her own smooth local cost function and can…

最优化与控制 · 数学 2019-07-17 Tatiana Tatarenko , Angelia Nedich

In this paper, we consider the problem of finding a Nash equilibrium in a multi-player game over generally connected networks. This model differs from a conventional setting in that players have partial information on the actions of their…

最优化与控制 · 数学 2019-12-10 Farzad Salehisadaghiani , Wei Shi , Lacra Pavel

This paper considers a distributed gossip approach for finding a Nash equilibrium in networked games on graphs. In such games a player's cost function may be affected by the actions of any subset of players. An interference graph is…

计算机科学与博弈论 · 计算机科学 2020-04-10 Farzad Salehisadaghiani , Lacra Pavel

Motivated by game-theoretic models of crowd motion dynamics, this paper analyzes a broad class of distributed games with jump diffusions within the recently developed $\alpha$-potential game framework. We demonstrate that analyzing the…

最优化与控制 · 数学 2026-04-17 Xin Guo , Xinyu Li , Yufei Zhang

Many social, biological, and economic systems can be approached by complex networks of interacting units. The behaviour of several models on small-world networks has recently been studied. These models are expected to capture the essential…

统计力学 · 物理学 2009-11-07 Alejandro D. Sanchez , Juan M. Lopez , Miguel A. Rodriguez

We consider finite two-player normal form games with random payoffs. Player A's payoffs are i.i.d. from a uniform distribution. Given p in [0, 1], for any action profile, player B's payoff coincides with player A's payoff with probability p…

计算机科学与博弈论 · 计算机科学 2024-01-25 Hlafo Alfie Mimun , Matteo Quattropani , Marco Scarsini

We examine a naming game on an adaptive weighted network. A weight of connection for a given pair of agents depends on their communication success rate and determines the probability with which the agents communicate. In some cases,…

统计力学 · 物理学 2012-08-10 Dorota Lipowska , Adam Lipowski

Learning in games provides a powerful framework to design control policies for self-interested agents that may be coupled through their dynamics, costs, or constraints. We consider the case where the dynamics of the coupled system can be…

系统与控制 · 电气工程与系统科学 2024-09-18 Mostafa M. Shibl , Vijay Gupta

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

计算机科学与博弈论 · 计算机科学 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar

Reciprocity--the tendency of individuals to form mutual ties--is a fundamental structural feature of many directed networks. Despite its ubiquity, reciprocity remains insufficiently integrated into statistical network models, particularly…

统计方法学 · 统计学 2025-07-30 Rui Feng , Chenlei Leng

J. Hopcroft and D. Sheldon originally introduced network reputation games to investigate the self-interested behavior of web authors who want to maximize their PageRank on a directed web graph by choosing their outlinks in a game theoretic…

离散数学 · 计算机科学 2012-12-04 David Avis , Kazuo Iwama , Daichi Paku

We study potential games on unimodular random graphs of bounded degree, where players interact through the underlying network. Using the unimodular measure, we define a well-posed global potential that captures both finite- and…

最优化与控制 · 数学 2026-04-17 Eyal Neuman , Sturmius Tuschmann

In competitive resource allocation formulations multiple agents compete over different contests by committing their limited resources in them. For these settings, contest games offer a game-theoretic foundation to analyze how players can…

计算机科学与博弈论 · 计算机科学 2024-08-05 Gilberto Diaz-Garcia , Francesco Bullo , Jason R. Marden

The use of game theoretic models has been quite successful in describing various cooperative and non-cooperative optimization problems in networks and other domains of computer systems. In this paper, we study an application of game…

网络与互联网体系结构 · 计算机科学 2013-05-16 Sandip Chakraborty , Soumyadip Majumder , Diganta Goswami

We design a distributed algorithm to seek generalized Nash equilibria of a robust game with uncertain coupled constraints. Due to the uncertainty of parameters in set constraints, we aim to find a generalized Nash equilibrium in the worst…

最优化与控制 · 数学 2022-04-05 Gehui Xu , Guanpu Chen , Hongsheng Qi

In this paper we focus on noncooperative games with uncertain constraints coupling the agents' decisions. We consider a setting where bounded deviations of agents' decisions from the equilibrium are possible, and uncertain constraints are…

最优化与控制 · 数学 2023-11-28 George Pantazis , Filiberto Fele , Kostas Margellos

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

最优化与控制 · 数学 2012-06-11 Vikas Vikram Singh , N. Hemachandra

This is a short introduction to the subject of strategic games. We focus on the concepts of best response, Nash equilibrium, strict and weak dominance, and mixed strategies, and study the relation between these concepts in the context of…

计算机科学与博弈论 · 计算机科学 2011-02-02 Krzysztof R. Apt