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This article explores the interaction of two agents during a geopolitical operation. Collaborative work is considered, rather than being done alone. However, each agent has the goal of maximizing personal net profit. We will have 3…

Optimization and Control · Mathematics 2024-05-20 O. A. Malafeyev , V. Vekovtsev

The allocation of resources plays an important role in the completion of system objectives and tasks, especially in the presence of strategic adversaries. Optimal allocation strategies are becoming increasingly more complex, given that…

Theoretical Economics · Economics 2025-05-07 Keith Paarporn , Adel Aghajan , Jason R. Marden

The Stackelberg game depicts a leader-follower relationship wherein decisions are made sequentially, and the Stackelberg equilibrium represents an expected optimal solution when the leader can anticipate the rational response of the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Yue Chen , Peng Yi

This paper studies the resilience of second-order networked dynamical systems to strategic attacks. We discuss two widely used control laws, which have applications in power networks and formation control of autonomous agents. In the first…

Optimization and Control · Mathematics 2019-05-09 Mohammad Pirani , Joshua A. Taylor , Bruno Sinopoli

In a balancing network each processor has an initial collection of unit-size jobs (tokens) and in each round, pairs of processors connected by balancers split their load as evenly as possible. An excess token (if any) is placed according to…

Data Structures and Algorithms · Computer Science 2010-06-09 Tobias Friedrich , Thomas Sauerwald , Dan Vilenchik

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

Under certain assumptions in terms of information and models, equilibria correspond to possible stable outcomes in conflicting or cooperative scenarios where rational entities interact. For wireless engineers, it is of paramount importance…

Computer Science and Game Theory · Computer Science 2015-05-13 S. Lasaulce , M. Debbah , E. Altman

We consider a model of priced resource sharing that combines both queueing behavior and strategic behavior. We study a priority service model where a single server allocates its capacity to agents in proportion to their payment to the…

Computer Science and Game Theory · Computer Science 2012-06-05 Yu Wu , Loc Bui , Ramesh Johari

Despite many distributed resource allocation (DRA) algorithms have been reported in literature, it is still unknown how to allocate the resource optimally over multiple interacting coalitions. One major challenge in solving such a problem…

Optimization and Control · Mathematics 2025-09-24 Jialing Zhou , Guanghui Wen , Yuezu Lv , Tao Yang , Guanrong Chen

In this paper, we first consider a pinning node selection and control gain co-design problem for complex networks. A necessary and sufficient condition for the synchronization of the pinning controlled networks at a homogeneous state is…

Systems and Control · Electrical Eng. & Systems 2019-09-04 Yuzhe Li , Dawei Shi , Tongwen Chen

This work studies the decentralized and uncoordinated energy source selection problem for smart-grid consumers with heterogeneous energy profiles and risk attitudes: they compete for a limited amount of renewable energy in their local…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Eleni Stai , Evangelia Kokolaki , Lesia Mitridati , Petros Tatoulis , Ioannis Stavrakakis , Gabriela Hug

Collaboration may be understood as the execution of coordinated tasks (in the most general sense) by groups of users, who cooperate for achieving a common goal. Collaboration is a fundamental assumption and requirement for the correct…

Computer Science and Game Theory · Computer Science 2012-07-26 Agustín Santos Méndez , Antonio Fernández Anta , Luis López Fernández

We propose and study a strategic model of hiding in a network, where the network designer chooses the links and his position in the network facing the seeker who inspects and disrupts the network. We characterize optimal networks for the…

Theoretical Economics · Economics 2020-01-10 Francis Bloch , Bhaskar Dutta , Marcin Dziubinski

The standard game-theoretic solution concept, Nash equilibrium, assumes that all players behave rationally. If we follow a Nash equilibrium and opponents are irrational (or follow strategies from a different Nash equilibrium), then we may…

Computer Science and Game Theory · Computer Science 2023-08-22 Sam Ganzfried

In this work, we study the problem of power allocation in teams. Each team consists of two agents who try to split their available power between the tasks of communication and jamming the nodes of the other team. The agents have constraints…

Computer Science and Game Theory · Computer Science 2015-03-18 Sourabh Bhattacharya , Ali Khanafer , Tamer Başar

In this article we give an in depth overview of the recent advances in the field of equilibrium networks. After outlining this topic, we provide a novel way of defining equilibrium graph (network) ensembles. We illustrate this concept on…

Statistical Mechanics · Physics 2007-05-23 I. Farkas , I. Derenyi , G. Palla , T. Vicsek

Networks of model neurons with balanced recurrent excitation and inhibition produce irregular and asynchronous spiking activity. We extend the analysis of balanced networks to include the known dependence of connection probability on the…

Neurons and Cognition · Quantitative Biology 2014-06-02 Robert Rosenbaum , Brent Doiron

Controlled islanding effectively mitigates cascading failures by partitioning the power system into a set of disjoint islands. In this paper, we study the controlled islanding problem of a power system under disturbances introduced by a…

Systems and Control · Electrical Eng. & Systems 2021-09-28 Luyao Niu , Dinuka Sahabandu , Andrew Clark , Radha Poovendran

We formulate the interaction between the communicating nodes and an adversary within a game-theoretic context. We show that earlier information-theoretic capacity results for a jammed channel correspond to a pure Nash Equilibrium (NE).…

Information Theory · Computer Science 2012-04-12 Koorosh Firouzbakht , Guevara Noubir , Masoud Salehi

In this paper we consider a defending problem on a network. In the model, the defender holds a total defending resource of R, which can be distributed to the nodes of the network. The defending resource allocated to a node can be shared by…

Computer Science and Game Theory · Computer Science 2019-11-20 Minming Li , Long Tran-Thanh , Xiaowei Wu