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We provide a unified variational inequality framework for the study of fundamental properties of the Nash equilibrium in network games. We identify several conditions on the underlying network (in terms of spectral norm, infinity norm and…

Computer Science and Game Theory · Computer Science 2018-08-10 Francesca Parise , Asuman Ozdaglar

This paper studies $n$-person simultaneous-move games with linear best response function, where individuals interact within a given network structure. This class of games have been used to model various settings, such as, public goods,…

Computer Science and Game Theory · Computer Science 2011-06-14 Victor M. Preciado , Jaelynn Oh , Ali Jadbabaie

Individuals, or organizations, cooperate with or compete against one another in a wide range of practical situations. Such strategic interactions are often modeled as games played on networks, where an individual's payoff depends not only…

Computer Science and Game Theory · Computer Science 2020-09-22 Yan Leng , Xiaowen Dong , Junfeng Wu , Alex Pentland

Many real-world systems are composed of interdependent networks that rely on one another. Such networks are typically designed and operated by different entities, who aim at maximizing their own payoffs. There exists a game among these…

Physics and Society · Physics 2017-03-08 Yuhang Fan , Gongze Cao , Shibo He , Jiming Chen , Youxian Sun

This paper investigates design of noncooperative games from an optimization and control theoretic perspective. Pricing mechanisms are used as a design tool to ensure that the Nash equilibrium of a fairly general class of noncooperative…

Computer Science and Game Theory · Computer Science 2010-07-02 Tansu Alpcan , Lacra Pavel , Nem Stefanovic

Many distributed systems can be modeled as network games: a collection of selfish players that communicate in order to maximize their individual utilities. The performance of such games can be evaluated through the costs of the system…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-18 Petr Kuznetsov , Stefan Schmid

Designing optimal interdependent networks is important for the robustness and efficiency of national critical infrastructures. Here, we establish a two-person game-theoretic model in which two network designers choose to maximize the global…

Social and Information Networks · Computer Science 2016-02-26 Juntao Chen , Quanyan Zhu

In a network game, players interact over a network and the utility of each player depends on his own action and on an aggregate of his neighbours' actions. Many real world networks of interest are asymmetric and involve a large number of…

Computer Science and Game Theory · Computer Science 2025-08-12 Kiran Rokade , Adit Jain , Francesca Parise , Vikram Krishnamurthy , Eva Tardos

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

Network games provide a powerful framework for modeling agent interactions in networked systems, where players are represented by nodes in a graph and their payoffs depend on the actions taken by their neighbors. Extending the framework of…

Optimization and Control · Mathematics 2025-12-17 Constantin Ickstadt , Thorsten Theobald , Elias Tsigaridas , Antonios Varvitsiotis

This paper considers a game-theoretic framework for distributed machine learning problems over networks where the information acquisition at a node is modeled as a rational choice of a player. In the proposed game, players decide both the…

Computer Science and Game Theory · Computer Science 2022-10-28 Shutian Liu , Tao Li , Quanyan Zhu

We investigate the sensitivity of the Nash equilibrium of constrained network aggregative games to changes in exogenous parameters affecting the cost function of the players. This setting is motivated by two applications. The first is the…

Computer Science and Game Theory · Computer Science 2017-06-28 Francesca Parise , Asuman Ozdaglar

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…

Optimization and Control · Mathematics 2025-08-07 Gokce Dayanikli , Mathieu Lauriere

We analyze the robustness of (pure strategy) Nash equilibria for network games against perturbations of the players' utility functions. We first derive a simple characterization of the margin of robustness, defined as the minimum magnitude…

Computer Science and Game Theory · Computer Science 2020-04-28 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

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…

Computer Science and Game Theory · Computer Science 2013-04-09 Sunil Simon , Krzysztof R. Apt

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

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…

Theoretical Economics · Economics 2024-02-07 Evan Sadler , Benjamin Golub

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…

Computer Science and Game Theory · Computer Science 2015-06-09 Seyed Rasoul Etesami , Tamer Basar

In game theory, mechanism design is concerned with the design of incentives so that a desired outcome of the game can be achieved. In this paper, we explore the concept of equilibrium design, where incentives are designed to obtain a…

Logic in Computer Science · Computer Science 2024-12-18 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

We introduce a network design game where the objective of the players is to design the interconnections between the nodes of two different networks $G_1$ and $G_2$ in order to maximize certain local utility functions. In this setting, each…

Computer Science and Game Theory · Computer Science 2016-12-22 Ebrahim Moradi Shahrivar , Shreyas Sundaram
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