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A fundamental open problem in monotone game theory is the computation of a specific generalized Nash equilibrium (GNE) among all the available ones, e.g. the optimal equilibrium with respect to a system-level objective. The existing GNE…

系统与控制 · 电气工程与系统科学 2022-03-16 Emilio Benenati , Wicak Ananduta , Sergio Grammatico

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

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

In this paper, we study a model of network formation in large populations. Each agent can choose the strength of interaction (i.e. connection) with other agents to find a Nash equilibrium. Different from the recently-developed theory of…

最优化与控制 · 数学 2025-08-07 Gokce Dayanikli , Mathieu Lauriere

We revisit in this paper the relation between evolution of species and the mathematical tool of evolutionary games, which has been used to model and predict it. We indicate known shortcoming of this model that restricts the capacity of…

计算机科学与博弈论 · 计算机科学 2014-09-29 Ilaria Brunetti , Rachid El-Azouzi , Eitan Altman

We undertake a fundamental study of network equilibria modeled as solutions of fixed point equations for monotone linear functions with saturation nonlinearities. The considered model extends one originally proposed to study systemic risk…

动力系统 · 数学 2021-01-19 Leonardo Massai , Giacomo Como , Fabio Fagnani

Necessary and sufficient conditions are established for the stability of a high-mobility N-class Aloha network, where the position of the sources follows a Poisson point process, each source has an infinity capacity buffer, packets arrive…

信息论 · 计算机科学 2024-10-30 P. S. Dester , P. Cardieri , J. M. C. Brito

This paper investigates a distributed robust Nash Equilibrium (NE) seeking problem for second-order players subject to external disturbances and uncertain dynamics while communicating via semi-Markov switching topologies. To accommodate the…

最优化与控制 · 数学 2026-05-22 Jianing Chen , Sitian Qin , Chuangyin Dang

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

计算机科学与博弈论 · 计算机科学 2013-04-09 Sunil Simon , Krzysztof R. Apt

The dense deployment of small-cell base stations in HetSNets requires efficient resource allocation techniques. More precisely, the problem of associating users to SBSs must be revised and carefully studied. This problem is NP-hard and…

计算机科学与博弈论 · 计算机科学 2015-08-04 Zoubeir Mlika , Elmahdi Driouch , Wessam Ajib , Halima Elbiaze

In this paper, we consider the competitive diffusion game, and study the existence of its pure-strategy Nash equilibrium when defined over general undirected networks. We first determine the set of pure-strategy Nash equilibria for two…

计算机科学与博弈论 · 计算机科学 2015-06-09 Seyed Rasoul Etesami , Tamer Basar

Within the context of games on networks S. Goyal (Goya (2007), pg. 39) posed the following problem. Under any arbitrary but fixed topology, does there exist at least one pure Nash equilibrium that exhibits a positive relation between the…

计算机科学与博弈论 · 计算机科学 2012-02-10 Ali Kakhbod , Demosthenis Teneketzis

This paper investigates the Nash equilibrium seeking problems for networked games with intermittent communication, where each player is capable of communicating with other players intermittently over a strongly connected and directed graph.…

最优化与控制 · 数学 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

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

Efficient distributed spectrum sharing mechanism is crucial for improving the spectrum utilization. The spatial aspect of spectrum sharing, however, is less understood than many other aspects. In this paper, we generalize a recently…

网络与互联网体系结构 · 计算机科学 2012-09-25 Xu Chen , Jianwei Huang

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 communication systems where users share common resources, users' selfish behavior usually results in suboptimal resource utilization. There have been extensive works that model communication systems with selfish users as one-shot games…

信息论 · 计算机科学 2011-11-11 Yuanzhang Xiao , Jaeok Park , Mihaela van der Schaar

We study network games in which players choose both the partners with whom they associate and an action level (e.g., effort) that creates spillovers for those partners. We introduce a framework and two solution concepts, extending standard…

理论经济学 · 经济学 2024-02-07 Evan Sadler , Benjamin Golub

We address the generalized Nash equilibrium seeking problem for a population of agents playing aggregative games with affine coupling constraints. We focus on semi-decentralized communication architectures, where there is a central…

最优化与控制 · 数学 2022-06-16 Giuseppe Belgioioso , Sergio Grammatico

This paper studies an $N$--agent cost-coupled game where the agents are connected via an unreliable capacity constrained network. Each agent receives state information over that network which loses packets with probability $p$. A Base…

系统与控制 · 电气工程与系统科学 2023-03-17 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Melih Bastopcu , Tamer Başar