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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

Opinion dynamics models how the publicly expressed opinions of users in a social network coevolve according to their neighbors as well as their own intrinsic opinion. Motivated by the real-world manipulation of social networks during the…

Social and Information Networks · Computer Science 2026-01-22 Akhil Jalan , Marios Papachristou

In this paper, Nash equilibrium seeking among a network of players is considered. Different from many existing works on Nash equilibrium seeking in non-cooperative games, the players considered in this paper cannot directly observe the…

Optimization and Control · Mathematics 2017-03-28 Maojiao Ye , Guoqiang Hu

The Naming Game is a model of non-equilibrium dynamics for the self-organized emergence of a linguistic convention or a communication system in a population of agents with pairwise local interactions. We present an extensive study of its…

Physics and Society · Physics 2007-05-23 Luca Dall'Asta , Andrea Baronchelli , Alain Barrat , Vittorio Loreto

We consider distributed learning problem in games with an unknown cost-relevant parameter, and aim to find the Nash equilibrium while learning the true parameter. Inspired by the social learning literature, we propose a distributed…

Optimization and Control · Mathematics 2023-03-14 Shijie Huang , Jinlong Lei , Yiguang Hong

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

Optimization and Control · Mathematics 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

This paper considers the problem of Nash equilibrium (NE) seeking in aggregative games, where the payoff function of each player depends on an aggregate of all players' actions. We present a distributed continuous time algorithm such that…

Optimization and Control · Mathematics 2019-11-04 Mehran Shakarami , Claudio De Persis , Nima Monshizadeh

We consider a class of interdependent security games on networks where each node chooses a personal level of security investment. The attack probability experienced by a node is a function of her own investment and the investment by her…

Computer Science and Game Theory · Computer Science 2016-08-16 Ashish R. Hota , Shreyas Sundaram

Inspired by real world examples, e.g. the Internet, researchers have introduced an abundance of strategic games to study natural phenomena in networks. Unfortunately, almost all of these games have the conceptual drawback of being…

Computer Science and Game Theory · Computer Science 2017-05-23 Tobias Friedrich , Sven Ihde , Christoph Keßler , Pascal Lenzner , Stefan Neubert , David Schumann

In network formation games, agents form edges with each other to maximize their utility. Each agent's utility depends on its private beliefs and its edges in the network. Strategic agents can misrepresent their beliefs to get a better…

Optimization and Control · Mathematics 2024-09-04 Akhil Jalan , Deepayan Chakrabarti

This paper investigates the impact of confirmation bias on competitive information spread in the cyber-social network that comprises individuals in a social network and competitive information sources in cyber layer. We formulate the…

Social and Information Networks · Computer Science 2020-08-26 Yanbing Mao , Emrah Akyol , Naira Hovakimyan

A distributed Nash equilibrium seeking algorithm is presented for networked games. We assume an incomplete information available to each player about the other players' actions. The players communicate over a strongly connected digraph to…

Systems and Control · Computer Science 2019-12-10 Farzad Salehisadaghiani , Lacra Pavel

Existing settings of decentralized learning either require players to have full information or the system to have certain special structure that may be hard to check and hinder their applicability to practical systems. To overcome this, we…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Yan Jiang , Wenqi Cui , Baosen Zhang , Jorge Cortés

Prediction is a well-studied machine learning task, and prediction algorithms are core ingredients in online products and services. Despite their centrality in the competition between online companies who offer prediction-based products,…

Computer Science and Game Theory · Computer Science 2019-05-08 Omer Ben-Porat , Moshe Tennenholtz

In this paper, we consider a population of individuals who have actions and opinions, which coevolve, mutually influencing one another on a complex network structure. In particular, we formulate a control problem for this social network, in…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Roberta Raineri , Mengbin Ye , Lorenzo Zino

In this work, we study stochastic one-shot games where agents' utilities depend on the collective strategy profiles of other agents as well as on some well-behaved randomness. While each decision-maker is agnostic to the random variable's…

Optimization and Control · Mathematics 2026-05-18 Nirabhra Mandal , Sonia Martínez

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.…

Optimization and Control · Mathematics 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

We study multi-player general-sum Markov games with one of the players designated as the leader and the other players regarded as followers. In particular, we focus on the class of games where the followers are myopic, i.e., they aim to…

Machine Learning · Computer Science 2021-12-28 Han Zhong , Zhuoran Yang , Zhaoran Wang , Michael I. Jordan

In this paper, we address the challenge of Nash equilibrium (NE) seeking in non-cooperative convex games with partial-decision information. We propose a distributed algorithm, where each agent refines its strategy through projected-gradient…

Computer Science and Game Theory · Computer Science 2023-09-15 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

In this paper we consider the problem of distributed Nash equilibrium (NE) seeking over networks, a setting in which players have limited local information. We start from a continuous-time gradient-play dynamics that converges to an NE…

Optimization and Control · Mathematics 2024-10-30 Dian Gadjov , Lacra Pavel