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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

Claiming causal inferences in network settings necessitates careful consideration of the often complex dependency between outcomes for actors. Of particular importance are treatment spillover or outcome interference effects. We consider…

Methodology · Statistics 2022-07-18 Duncan A. Clark , Mark S. Handcock

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

The modeling of opinion dynamics has seen much study in varying academic disciplines. Understanding the complex ways information can be disseminated is a complicated problem for mathematicians as well as social scientists. We present a…

Dynamical Systems · Mathematics 2023-09-29 David N. Reynolds , Francesco Tudisco

In this paper, we study the problem of the distributed Nash equilibrium seeking of N-player games over jointly strongly connected switching networks. The action of each player is governed by a class of uncertain nonlinear systems. Our…

Optimization and Control · Mathematics 2024-11-05 Jie Huang

Public opinion is subject to peer interaction via social networks and external pressure from the media, advertising, and other actors. In this paper, we study the interaction between external and peer influence on the stochastic opinion…

Physics and Society · Physics 2024-07-31 Niels Van Santen , Jan Ryckebusch , Luis E. C. Rocha

A systematic theory is introduced that describes stochastic effects in game theory. In a biological context, such effects are relevant for the evolution of finite populations with frequency-dependent selection. They are characterized by…

Statistical Mechanics · Physics 2007-05-23 Michael Lassig

We propose a method of estimating the linear-in-means model of peer effects in which the peer group, defined by a social network, is endogenous in the outcome equation for peer effects. Endogeneity is due to unobservable individual…

Econometrics · Economics 2019-08-01 Ida Johnsson , Hyungsik Roger Moon

This paper proposes a novel energy sharing mechanism for prosumers who can produce and consume. Different from most existing works, the role of individual prosumer as a seller or buyer in our model is endogenously determined. Several…

Optimization and Control · Mathematics 2019-10-08 Yue Chen , Shengwei Mei , Fengyu Zhou , Steven H. Low , Wei Wei , Feng Liu

This paper discusses a special type of multi-user communication scenario, in which users' utilities are linearly impacted by their competitors' actions. First, we explicitly characterize the Nash equilibrium and Pareto boundary of the…

Computer Science and Game Theory · Computer Science 2009-08-13 Yi Su , Mihaela van der Schaar

This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-16 Ziqin Chen , Ji Ma , Shu Liang , Li Li

Building upon the results in [Hinterm\"uller et al., SIAM J. Optim, '15], generalized Nash equilibrium problems are considered, in which the feasible set of each player is influenced by the decisions of their competitors. This is realized…

Optimization and Control · Mathematics 2021-10-22 Steven-Marian Stengl

Peer effects, in which the behavior of an individual is affected by the behavior of their peers, are posited by multiple theories in the social sciences. Other processes can also produce behaviors that are correlated in networks and groups,…

Methodology · Statistics 2021-02-16 Dean Eckles , Eytan Bakshy

This study considers treatment effect models in which others' treatment decisions can affect both one's own treatment and outcome. Focusing on the case of two-player interactions, we formulate treatment decision behavior as a complete…

Econometrics · Economics 2023-02-23 Tadao Hoshino , Takahide Yanagi

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

We investigate both stationary and time-varying, nonmonotone generalized Nash equilibrium problems that exhibit symmetric interactions among the agents, which are known to be potential. As may happen in practical cases, however, we envision…

Optimization and Control · Mathematics 2024-07-09 Filippo Fabiani , Andrea Simonetto , Paul J. Goulart

Nash equilibrium is a key concept in game theory fundamental for elucidating the equilibrium state of strategic interactions, finding applications in diverse fields such as economics, political science, and biology. However, the Nash…

Computer Science and Game Theory · Computer Science 2024-04-02 Elie Eshoa , Ali R. Zomorrodi

In this paper, we consider game problems played by (multi)-integrator agents, subject to external disturbances. We propose Nash equilibrium seeking dynamics based on gradient-play, augmented with a dynamic internal-model based component,…

Optimization and Control · Mathematics 2020-04-10 Andrew R Romano , Lacra Pavel

Randomized experiments in which the treatment of a unit can affect the outcomes of other units are becoming increasingly common in healthcare, economics, and in the social and information sciences. From a causal inference perspective, the…

Methodology · Statistics 2017-02-14 Daniel L. Sussman , Edoardo M. Airoldi
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