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We propose a numerical method for stationary Mean Field Games defined on a network. In this framework a correct approximation of the transition conditions at the vertices plays a crucial role. We prove existence, uniqueness and convergence…

Numerical Analysis · Mathematics 2015-11-23 Simone Cacace , Fabio Camilli , Claudio Marchi

The objective of this paper is to improve the accuracy and robustness of optimal power flow (OPF) formulations for distribution systems modeled down to the low-voltage point of connection of individual buildings. An approach for addressing…

Systems and Control · Electrical Eng. & Systems 2023-10-11 Dakota Hamilton , Loraine Navarro , Dionysios Aliprantis

Optimized operation of the transmission network is one solution to supply extra demand by more efficient use of transmission facilities, and line switching is one main tool to achieve this goal. In this paper, we add extra constraints to…

Optimization and Control · Mathematics 2015-07-28 Mohammad Majidi-Qadikolai , Ross Baldick

We introduce one-way games, a framework motivated by applications in large-scale power restoration, humanitarian logistics, and integrated supply-chains. The distinguishable feature of the games is that the payoff of some player is…

Computer Science and Game Theory · Computer Science 2015-07-28 Andres Abeliuk , Gerardo Berbeglia , Pascal Van Hentenryck

We consider the problem of decentralized power allocation for competitive rate-maximization in a frequency-selective Gaussian interference channel under bounded channel uncertainty. We formulate a distribution-free robust framework for the…

Information Theory · Computer Science 2015-03-17 Amod J. G. Anandkumar , Animashree Anandkumar , Sangarapillai Lambotharan , Jonathon A. Chambers

Adaptive guaranteed-performance consensus control problems for multi-agent systems are investigated, where the adjustable convergence speed is discussed. This paper firstly proposes a novel adaptive guaranteed-performance consensus…

Systems and Control · Computer Science 2019-06-12 Hai-Ying Ma , Xiao Jia , Ning Cai , Jian-Xiang Xi

Design, architecture and deployment details of a decision support system engineered to minimize operating costs of compressor stations in a gas network are presented. The system employs standard simulation software for pipelines, combined…

Systems and Control · Computer Science 2013-11-15 Mariusz Kamola , Sebastian Plamowski

This paper considers the application of non-orthogonal multiple access (NOMA) to a multi-user network with mixed multicasting and unicasting traffic. The proposed design of beamforming and power allocation ensures that the unicasting…

Information Theory · Computer Science 2016-11-17 Zhiguo Ding , Zhongyuan Zhao , Mugen Peng , H. Vincent Poor

Securely and efficiently procuring energy balancing services in distribution networks remains challenging, especially within a privacy-preserving environment. This paper proposes a network-constrained demand response game, i.e., a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Xiupeng Chen , Koorosh Shomalzadeh , Jacquelien M. A. Scherpen , Nima Monshizadeh

We propose a new method for opportunistic power control in multi-carrier interference channels for delay-tolerant data services. In doing so, we utilize a game theoretic framework with novel constraints, where each user tries to maximize…

Computer Science and Game Theory · Computer Science 2011-06-28 Mohammad R. Javan , Ahmad R. Sharafat

It is well known that a non-cooperative game may have multiple equilibria. In this paper we consider the efficiency of games, measured by the ratio between the aggregate payoff over all Nash equilibria and that over all admissible controls.…

Computer Science and Game Theory · Computer Science 2025-08-20 Jianfeng Zhang

Decision makers often need to rely on imperfect probabilistic forecasts. While average performance metrics are typically available, it is difficult to assess the quality of individual forecasts and the corresponding utilities. To convey…

Machine Learning · Statistics 2021-03-03 Shengjia Zhao , Stefano Ermon

This paper reviews compact continuous-time formulations for the multi-mode resource-constrained project scheduling problem. Specifically, we first point out a serious flaw in an existing start-end-event-based formulation owing to…

Discrete Mathematics · Computer Science 2023-02-28 David Sayah

We show how two techniques from statistical physics can be adapted to solve a variant of the notorious Unique Games problem, potentially opening new avenues towards the Unique Games Conjecture. The variant, which we call Count Unique Games,…

Data Structures and Algorithms · Computer Science 2021-03-05 Matthew Coulson , Ewan Davies , Alexandra Kolla , Viresh Patel , Guus Regts

As Aumann stated, cooperation and non-cooperation are different ways of viewing the same game, with the main difference being whether players can reach a binding cooperative agreement. In the real world, many games often coexist competition…

Computer Science and Game Theory · Computer Science 2025-11-25 Xiang Shuwen , Luo Enquan , Yang Yanlong

We present a simple game which mimics the complex dynamics found in most natural and social systems. Intelligent players modify their strategies periodically, depending on their performances. We propose that the agents use hybridized…

Statistical Mechanics · Physics 2009-11-07 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

The approach presented in this article is a contribution to research relating to the optimization of the scheduling of the spots of maintenance. This work answers the following objectives: Decision in time-reality (planning and scheduling),…

Optimization and Control · Mathematics 2010-08-31 Aissam Aboussalim , Mohamed Mediouni

We present an improvement of a recent funnel controller design for uncertain nonlinear multi-input, multi-output systems modeled by higher order functional differential equations in the presence of input constraints. The objective is to…

Optimization and Control · Mathematics 2026-04-29 Thomas Berger

Value-oriented forecasts for two-stage power system operational problems have been demonstrated to reduce cost, but prove to be computationally challenging for large-scale systems because the underlying optimization problem must be…

Optimization and Control · Mathematics 2025-05-20 Mehrnoush Ghazanfariharandi , Robert Mieth

We present new data structures for representing symmetric normal-form games. These data structures are optimized for efficiently computing the expected utility of each unilateral pure-strategy deviation from a symmetric mixed-strategy…

Computer Science and Game Theory · Computer Science 2023-04-07 Bryce Wiedenbeck , Erik Brinkman