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Wireless power charging enables portable devices to be permanently unplugged. Due to its low transmission power and low transmission efficiency, it requires much longer time slot to charge users compared with that for data transmission in…

Information Theory · Computer Science 2018-01-23 Yanju Gu

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

We consider a peer-to-peer electricity market, where agents hold private information that they might not want to share. The problem is modeled as a noncooperative communication game, which takes the form of a Generalized Nash Equilibrium…

Computer Science and Game Theory · Computer Science 2021-01-19 Ilia Shilov , Hélène Le Cadre , Ana Bušic

The distributed computation of Nash equilibria is assuming growing relevance in engineering where such problems emerge in the context of distributed control. Accordingly, we present schemes for computing equilibria of two classes of static…

Optimization and Control · Mathematics 2017-10-17 Hao Jiang , Uday V. Shanbhag , Sean P. Meyn

Graphical games are a useful framework for modeling the interactions of (selfish) agents who are connected via an underlying topology and whose behaviors influence each other. They have wide applications ranging from computer science to…

Computer Science and Game Theory · Computer Science 2021-04-27 Juho Hirvonen , Laura Schmid , Krishnendu Chatterjee , Stefan Schmid

We introduce a new algorithm for the numerical computation of Nash equilibria of competitive two-player games. Our method is a natural generalization of gradient descent to the two-player setting where the update is given by the Nash…

Optimization and Control · Mathematics 2020-07-02 Florian Schäfer , Anima Anandkumar

Motivated by game-theoretic models of crowd motion dynamics, this paper analyzes a broad class of distributed games with jump diffusions within the recently developed $\alpha$-potential game framework. We demonstrate that analyzing the…

Optimization and Control · Mathematics 2026-04-17 Xin Guo , Xinyu Li , Yufei Zhang

We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

Optimization and Control · Mathematics 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

Distributed power control for parallel Gaussian interference channels recently draws great interests. However, all existing works only studied this problem under deterministic communication channels and required certain perfect information…

Computer Science and Game Theory · Computer Science 2011-03-22 Xingqin Lin , Tat-Ming Lok

In this two-part paper, we address the problem of finding the optimal precoding/multiplexing scheme for a set of non-cooperative links sharing the same physical resources, e.g., time and bandwidth. We consider two alternative optimization…

Information Theory · Computer Science 2009-11-13 Gesualdo Scutari , Daniel P. Palomar , Sergio Barbarossa

This paper addresses a class of Nash equilibrium (NE) seeking problems in coalition games involving both local and coupling constraints for multiple Euler-Lagrange (EL) systems subject to disturbances of unknown bounds. Within each…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Cheng Yuwen , Jialing Zhou , Meng Luan , Guanghui Wen , Tingwen Huang

This paper proposes a differentially private energy trading mechanism for prosumers in peer-to-peer (P2P) markets, offering provable privacy guarantees while approaching the Nash equilibrium with nearly socially optimal efficiency. We first…

Computer Science and Game Theory · Computer Science 2024-10-22 Yuji Cao , Yue Chen

This paper investigates stochastic generalized dynamic games with coupling chance constraints, where agents have incomplete information about uncertainties satisfying a concentration of measure property. This problem, in general, is…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Seyed Shahram Yadollahi , Hamed Kebriaei , Sadegh Soudjani

In the field of international security, understanding the strategic interactions between countries within a networked context is crucial. Our previous research has introduced a ``games-on-signed graphs'' framework~\cite{LiMorse2022} to…

Computer Science and Game Theory · Computer Science 2025-12-01 Chuanzhe Zhang , Yuke Li , Wenjun Mei

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

Optimization and Control · Mathematics 2022-04-06 Yuanhanqing Huang , Jianghai Hu

Worst-case hardness results for most equilibrium computation problems have raised the need for beyond-worst-case analysis. To this end, we study the smoothed complexity of finding pure Nash equilibria in Network Coordination Games, a…

Computational Complexity · Computer Science 2019-02-27 Shant Boodaghians , Rucha Kulkarni , Ruta Mehta

The majority of distributed learning literature focuses on convergence to Nash equilibria. Correlated equilibria, on the other hand, can often characterize more efficient collective behavior than even the best Nash equilibrium. However,…

Computer Science and Game Theory · Computer Science 2015-12-08 Holly P. Borowski , Jason R. Marden , Jeff S. Shamma

A key feature of wireless communications is the spatial reuse. However, the spatial aspect is not yet well understood for the purpose of designing efficient spectrum sharing mechanisms. In this paper, we propose a framework of spatial…

Networking and Internet Architecture · Computer Science 2014-05-19 Xu Chen , Jianwei Huang

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

We consider a network composed of two interfering point-to-point links where the two transmitters can exploit one common relay node to improve their individual transmission rate. Communications are assumed to be multi-band and transmitters…

Information Theory · Computer Science 2015-03-17 E. V. Belmega , S. Lasaulce
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