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In the game theory literature, there appears to be little research on equilibrium selection for normal-form games with an infinite strategy space and discontinuous utility functions. Moreover, many existing selection methods are not…

Computer Science and Game Theory · Computer Science 2018-09-24 Yuke Li , A. Stephen Morse

We propose a computational framework to quantify (measure) and to optimize the reliability of complex systems. The approach uses a graph representation of the system that is subject to random failures of its components (nodes and edges).…

Optimization and Control · Mathematics 2021-06-25 Joshua L. Pulsipher , Victor M. Zavala

This paper studies the problem of optimally allocating a cash injection into a financial system in distress. Given a one-period borrower-lender network in which all debts are due at the same time and have the same seniority, we address the…

Risk Management · Quantitative Finance 2014-12-18 Zhang Li , Xiaojun Lin , Borja Peleato-Inarrea , Ilya Pollak

This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derive a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model is…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco

Operation of critical infrastructures are highly interdependent on each other. Such dependencies causes failure in these infrastructures to cascade on an initial failure event. Owing to this vulnerability it is imperative to incorporate…

Networking and Internet Architecture · Computer Science 2017-03-21 Joydeep Banerjee , Arunabha Sen , Chenyang Zho

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

According to the proportional allocation mechanism from the network optimization literature, users compete for a divisible resource -- such as bandwidth -- by submitting bids. The mechanism allocates to each user a fraction of the resource…

Computer Science and Game Theory · Computer Science 2014-02-17 Ioannis Caragiannis , Alexandros A. Voudouris

In this paper, we consider a network capacity expansion problem in the context of telecommunication networks, where there is uncertainty associated with the expected traffic demand. We employ a distributionally robust stochastic…

Optimization and Control · Mathematics 2020-04-10 Trivikram Dokka , Francis Garuba , Marc Goerigk , Peter Jacko

Unit maintenance and unit commitment are two critical and interrelated aspects of electric power system operation, both of which face the challenge of coordinating efforts to enhance reliability and economic performance. This challenge…

Systems and Control · Electrical Eng. & Systems 2024-12-03 Hongrui Lu , Yuxiong Huang , Tong He , Gengfeng Li

Motivated by the increasing need to hedge against load and generation uncertainty in the operation of power grids, we propose flexibility maximization during operation. We consider flexibility explicitly as the amount of uncertainty that…

Optimization and Control · Mathematics 2025-01-27 Aron Zingler , Stephane Fliscounakis , Patrick Panciatici , Alexander Mitsos

We consider some crucial problems related to the secure and reliable operation of power systems with high renewable penetrations: how much reserve should we procure, how should reserve resources distribute among different locations, and how…

Systems and Control · Electrical Eng. & Systems 2021-07-19 Jiantao Shi , Ye Guo , Lang Tong , Wenchuan Wu , Hongbin Sun

Efficient control of power systems is becoming increasingly difficult as they gain in complexity and size. We propose an automatic control strategy that regulates the mechanical power output of the generators in a power grid based on…

Systems and Control · Computer Science 2014-10-09 Andrej Gajduk , Mirko Todorovski , Ljupco Kocarev

An analytical framework for performance analysis and optimization of coded V-BLAST is developed. Average power and/or rate allocations to minimize the outage probability as well as their robustness and dual problems are investigated.…

Information Theory · Computer Science 2016-11-17 Victoria Kostina , Sergey Loyka

In the context of the rapid development of digital supply chain networks, dealing with the increasing cybersecurity threats and formulating effective security investment strategies to defend against cyberattack risks are the core issues in…

Cryptography and Security · Computer Science 2025-02-18 Jiajie Cheng , Jiaxin Wang , Caijiao Li , Luxiang Zhang , Yusheng Fan , Yujie Bao , Wen Zhou

Radio resource allocation often calls for the optimization of black-box objective functions whose evaluation is expensive in real-world deployments. Conventional optimization methods apply separately to each new system configuration,…

Signal Processing · Electrical Eng. & Systems 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

Selecting the combination of security controls that will most effectively protect a system's assets is a difficult task. If the wrong controls are selected, the system may be left vulnerable to cyber-attacks that can impact the…

Cryptography and Security · Computer Science 2024-10-31 Dylan Léveillé , Jason Jaskolka

The area of networking games has had a growing impact on wireless networks. This reflects the recognition in the important scaling advantages that the service providers can benefit from by increasing the autonomy of mobiles in decision…

Computer Science and Game Theory · Computer Science 2016-11-15 Salah Eddine Elayoubi , Eitan Altman , Majed Haddad , Zwi Altman

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

Extreme weather is straining electricity systems, exposing the limitations of reactive responses, and prompting the need for proactive resilience planning. Most existing approaches to enhance electricity system resilience employ simplified…

Machine Learning · Computer Science 2025-10-03 Shuyi Chen , Shixiang Zhu , Ramteen Sioshansi

This paper presents a game theoretic solution for end-to-end channel and power allocation in multihop cognitive radio networks analyzed under the physical interference model. The objective is to find a distributed solution that maximizes…

Networking and Internet Architecture · Computer Science 2025-01-28 Maria Canales , Jorge Ortin , Jose Ramon Gallego
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