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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

The process by which new ideas, innovations, and behaviors spread through a large social network can be thought of as a networked interaction game: Each agent obtains information from certain number of agents in his friendship neighborhood,…

Computer Science and Game Theory · Computer Science 2012-08-28 Javad Ghaderi , R. Srikant

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

In the traditional game-theoretic set up, where agents select actions and experience corresponding utilities, an equilibrium is a configuration where no agent can improve their utility by unilaterally switching to a different action. In…

Systems and Control · Electrical Eng. & Systems 2019-10-02 Basilio Gentile , Dario Paccagnan , Bolutife Ogunsula , John Lygeros

It is well understood that the structure of a social network is critical to whether or not agents can aggregate information correctly. In this paper, we study social networks that support information aggregation when rational agents act…

Theoretical Economics · Economics 2020-11-11 Itai Arieli , Fedor Sandomirskiy , Rann Smorodinsky

This paper investigates online stochastic aggregative games subject to local set constraints and time-varying coupled inequality constraints, where each player possesses a time-varying expectation-valued cost function relying on not only…

Optimization and Control · Mathematics 2025-11-18 Kaixin Du , Min Meng

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

Optimization and Control · Mathematics 2023-04-27 Meichen Guo , Claudio De Persis

This paper considers incentives to provide goods that are partially shareable along social links. We introduce a model in which each individual in a social network not only decides how much of a shareable good to provide, but also decides…

Theoretical Economics · Economics 2023-06-05 Stefanie Gerke , Gregory Gutin , Sung-Ha Hwang , Philip Neary

We study the asymptotic behavior of deterministic, continuous-time imitation dynamics for population games over networks. The basic assumption of this learning mechanism -- encompassing the replicator dynamics -- is that players belonging…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Giacomo Como , Fabio Fagnani , Lorenzo Zino

Examining the behavior of multi-agent systems is vitally important to many emerging distributed applications - game theory has emerged as a powerful tool set in which to do so. The main approach of game-theoretic techniques is to model…

Computer Science and Game Theory · Computer Science 2024-06-03 Rohit Konda , Rahul Chandan , Jason Marden

In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes of games, e.g. the sequential games, where the agents play…

Logic · Mathematics 2015-07-01 Stephane Le Roux

We consider a one-sided assignment market or exchange network with transferable utility and propose a model for the dynamics of bargaining in such a market. Our dynamical model is local, involving iterative updates of 'offers' based on…

Computer Science and Game Theory · Computer Science 2015-03-14 Mohsen Bayati , Christian Borgs , Jennifer Chayes , Yashodhan Kanoria , Andrea Montanari

We consider the framework of average aggregative games, where the cost function of each agent depends on his own strategy and on the average population strategy. We focus on the case in which the agents are coupled not only via their cost…

Systems and Control · Computer Science 2017-10-18 Francesca Parise , Basilio Gentile , John Lygeros

We study a mechanism design problem where a community of agents wishes to fund public projects via voluntary monetary contributions by the community members. This serves as a model for public expenditure without an exogenously available…

Computer Science and Game Theory · Computer Science 2022-03-09 Florian Brandl , Felix Brandt , Matthias Greger , Dominik Peters , Christian Stricker , Warut Suksompong

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

This paper introduces a novel spatial interaction model to explore the decision-making processes of a resource allocator and local agents, with central and local governments serving as empirical representations. The model captures two key…

Econometrics · Economics 2025-07-02 Hanbat Jeong

Mean field game equilibria are predicated on the assumption of immediate pairwise interactions within a population of homogeneous agents with asymptotically vanishing influence as population size increases. However, in many real-world…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Farid Rajabali , Roland Malhame , Sadegh Bolouki

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…

Computer Science and Game Theory · Computer Science 2026-05-11 Ian Gemp , Crystal Qian , Marc Lanctot , Kate Larson

Many societies are organized in networks that are formed by people who meet and interact over time. In this paper, we present a first model to capture the micro-foundations of social networks evolution, where boundedly rational agents of…

Social and Information Networks · Computer Science 2015-08-17 Ahmed M. Alaa , Kartik Ahuja , Mihaela van der Schaar

We develop a general model of discrete choice that incorporates peer effects in preferences and consideration sets. We characterize the equilibrium behavior and establish conditions under which all parts of the model can be recovered from a…

General Economics · Economics 2026-02-05 Nail Kashaev , Natalia Lazzati , Ruli Xiao