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In two-player zero-sum stochastic games, where two competing players make decisions under uncertainty, a pair of optimal strategies is traditionally described by Nash equilibrium and computed under the assumption that the players have…

Optimization and Control · Mathematics 2019-07-30 Yagiz Savas , Mohamadreza Ahmadi , Takashi Tanaka , Ufuk Topcu

In this paper, a gentle introduction to Game Theory is presented in the form of basic concepts and examples. Minimax and Nash's theorem are introduced as the formal definitions for optimal strategies and equilibria in zero-sum and…

Computer Science and Game Theory · Computer Science 2015-06-18 Harris V. Georgiou

We consider a class of interdependent security games on networks where each node chooses a personal level of security investment. The attack probability experienced by a node is a function of her own investment and the investment by her…

Computer Science and Game Theory · Computer Science 2016-08-16 Ashish R. Hota , Shreyas Sundaram

We propose a generic strategic network resource sharing game between a set of players representing operators. The players negotiate which sets of players share given resources, serving users with varying sensitivity to interference. We…

Computer Science and Game Theory · Computer Science 2016-05-31 Sofonias Hailu , Ragnar Freij-Hollanti , Alexis A. Dowhuszko , Olav Tirkkonen

We present polynomial-time algorithms as well as hardness results for equilibrium computation in atomic splittable routing games, for the case of general convex cost functions. These games model traffic in freight transportation, market…

Computer Science and Game Theory · Computer Science 2018-04-27 Umang Bhaskar , Phani Raj Lolakapuri

We study a patrolling game played on a network $Q$, considered as a metric space. The Attacker chooses a point of $Q$ (not necessarily a node) to attack during a chosen time interval of fixed duration. The Patroller chooses a unit speed…

Discrete Mathematics · Computer Science 2022-09-16 Steve Alpern , Thuy Bui , Thomas Lidbetter , Katerina Papadaki

It is typical to assume that there is no conflict of interest among leaders. Under such assumption, it is known that, for a multi-agent system with two leaders, if the followers' interaction subgraph is undirected and connected, then…

Systems and Control · Computer Science 2014-10-28 Jingying Ma , Yuanshi Zheng , Bin Wu , Long Wang

In this work the single server model with counteraction is considered. We extend the classic fluid model using results from the theory of conflict controlled processes. Our new model describes conflict processes in neworks. For this model…

Optimization and Control · Mathematics 2009-09-30 Oleksii Ignatenko

We consider a game in which a strategic defender classifies an intruder as spy or spammer. The classification is based on the number of file server and mail server attacks observed during a fixed window. The spammer naively attacks (with a…

Computer Science and Game Theory · Computer Science 2015-03-20 Lemonia Dritsoula , Patrick Loiseau , John Musacchio

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

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

Optimization and Control · Mathematics 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

Motivated by applications in social networks, peer-to-peer and overlay networks, we define and study the Bounded Budget Connection (BBC) game - we have a collection of n players or nodes each of whom has a budget for purchasing links; each…

Computer Science and Game Theory · Computer Science 2008-06-11 Nikolaos Laoutaris , Laura J. Poplawski , Rajmohan Rajaraman , Ravi Sundaram , Shang-Hua Teng

Intrigued by the capacity of random networks, we start by proving a max-flow min-cut theorem that is applicable to any random graph obeying a suitably defined independence-in-cut property. We then show that this property is satisfied by…

Information Theory · Computer Science 2009-01-30 Rui A. Costa , Joao Barros

Due to the importance of robustness in many real-world optimization problems, the field of robust optimization has gained a lot of attention over the past decade. We concentrate on maximum flow problems and introduce a novel robust…

Discrete Mathematics · Computer Science 2016-01-15 Jannik Matuschke , S. Thomas McCormick , Gianpaolo Oriolo , Britta Peis , Martin Skutella

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 paper, we investigate the non-signalized intersection issue considering traffic flow and energy dissipation in terms of game theory based on the Nagel-Schreckenberg (NaSch) model. There are two types of driver agents at the…

Physics and Society · Physics 2010-06-08 Wei Zhang , Wei Zhang

We propose a framework for two-player infinite-dimensional games with cooperative or competitive structure. These games take the form of coupled partial differential equations in which players optimize over a space of measures, driven by…

Analysis of PDEs · Mathematics 2025-02-11 Lauren Conger , Franca Hoffmann , Eric Mazumdar , Lillian J. Ratliff

In recent work, semantic games of independence-friendly logic were studied in strategic form in terms of (mixed strategy) Nash equilibria. The class of strategic games of independence-friendly logic is contained in the class of win-loss,…

Logic · Mathematics 2014-01-21 Merlijn Sevenster

Data exfiltration is a growing problem for business who face costs related to the loss of confidential data as well as potential extortion. This work presents a simple game theoretic model of network data exfiltration. In the model, the…

Cryptography and Security · Computer Science 2025-09-09 Tristan Caulfield

This paper proposes a game-theoretic approach to address the problem of optimal sensor placement against an adversary in uncertain networked control systems. The problem is formulated as a zero-sum game with two players, namely a malicious…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira