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Generalized Nash equilibrium problems with mixed-integer variables constitute an important class of games in which each player solves a mixed-integer optimization problem, where both the objective and the feasible set is parameterized by…

Computer Science and Game Theory · Computer Science 2025-11-06 Aloïs Duguet , Tobias Harks , Martin Schmidt , Julian Schwarz

For state-of-the-art network function virtualization (NFV) systems, it remains a key challenge to conduct effective service chain composition for different network services (NSs) with ultra-low request latencies and minimum network…

Networking and Internet Architecture · Computer Science 2020-08-04 Simeng Bian , Xi Huang , Ziyu Shao , Xin Gao , Yang Yang

Many economic games and machine learning approaches can be cast as competitive optimization problems where multiple agents are minimizing their respective objective function, which depends on all agents' actions. While gradient descent is a…

Machine Learning · Computer Science 2021-11-17 Jeffrey Ma , Alistair Letcher , Florian Schäfer , Yuanyuan Shi , Anima Anandkumar

Game theory is an established branch of mathematics that offers a rich set of mathematical tools for multi-person strategic decision making that can be used to model the interactions of decision makers in security problems who compete for…

Computer Science and Game Theory · Computer Science 2019-11-04 Azhar Iqbal , Lachlan J. Gunn , Mingyu Guo , M. Ali Babar , Derek Abbott

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method presented in [4] to…

Optimization and Control · Mathematics 2023-10-25 Tatiana Tatarenko , Angelia Nedich

We consider the existence and computational complexity of coalitional stability concepts based on social networks. Our concepts represent a natural and rich combinatorial generalization of a recent approach termed partition equilibrium. We…

Computer Science and Game Theory · Computer Science 2010-12-08 Martin Hoefer , Michal Penn , Maria Polukarov , Alexander Skopalik , Berhold Vöcking

Characterizing attacker behavior with respect to Cyber-Physical Systems is important to assuring the security posture and resilience of these systems. Classical cyber vulnerability assessment approaches rely on the knowledge and experience…

Cryptography and Security · Computer Science 2021-03-18 Christopher Deloglos , Carl Elks , Ashraf Tantawy

In this paper, we consider a continuous-type Bayesian Nash equilibrium (BNE) seeking problem in subnetwork zero-sum games, which is a generalization of deterministic subnetwork zero-sum games and discrete-type Bayesian zero-sum games. In…

Optimization and Control · Mathematics 2023-09-15 Hanzheng Zhang , Guanpu Chen , Yiguang Hong

We consider a class of two-player dynamic stochastic nonzero-sum games where the state transition and observation equations are linear, and the primitive random variables are Gaussian. Each controller acquires possibly different dynamic…

Systems and Control · Computer Science 2014-01-21 Abhishek Gupta , Ashutosh Nayyar , Cedric Langbort , Tamer Basar

This paper considers the privacy-preserving Nash equilibrium seeking strategy design for a class of networked aggregative games, in which the players' objective functions are considered to be sensitive information to be protected. In…

Optimization and Control · Mathematics 2019-11-26 Maojiao Ye , Guoqiang Hu , Lihua Xie , Shengyuan Xu

In this paper we use game theory to model poisoning attack scenarios. We prove the non-existence of pure strategy Nash Equilibrium in the attacker and defender game. We then propose a mixed extension of our game model and an algorithm to…

Machine Learning · Computer Science 2019-06-10 Yifan Ou , Reza Samavi

In this paper we address game theory problems arising in the context of network security. In traditional game theory problems, given a defender and an attacker, one searches for mixed strategies which minimize a linear payoff functional. In…

Optimization and Control · Mathematics 2020-09-22 Giampaolo Liuzzi , Marco Locatelli , Veronica Piccialli , Stefan Rass

We consider a multi-agent noncooperative game with agents' objective functions being affected by uncertainty. Following a data driven paradigm, we represent uncertainty by means of scenarios and seek a robust Nash equilibrium solution. We…

Optimization and Control · Mathematics 2020-10-15 Filiberto Fele , Kostas Margellos

In this paper we present a novel generic mapping between Graphical Games and Markov Random Fields so that pure Nash equilibria in the former can be found by statistical inference on the latter. Thus, the problem of deciding whether a…

Computer Science and Game Theory · Computer Science 2007-05-23 Constantinos Daskalakis

We present a framework for computing approximate mixed-strategy Nash equilibria of continuous-action games. It is a modification of the traditional double oracle algorithm, extended to multiple players and continuous action spaces. Unlike…

Computer Science and Game Theory · Computer Science 2024-06-14 Carlos Martin , Tuomas Sandholm

We explored the Patrol Security Game (PSG), a robotic patrolling problem modeled as an extensive-form Stackelberg game, where the attacker determines the timing, location, and duration of their attack. Our objective is to devise a…

Artificial Intelligence · Computer Science 2024-10-22 Hao-Tsung Yang , Ting-Kai Weng , Ting-Yu Chang , Kin Sum Liu , Shan Lin , Jie Gao , Shih-Yu Tsai

It has been demonstrated that adversarial graphs, i.e., graphs with imperceptible perturbations, can cause deep graph models to fail on classification tasks. In this work, we extend the concept of adversarial graphs to the community…

Machine Learning · Computer Science 2025-12-15 Yifan Niu , Aochuan Chen , Tingyang Xu , Jia Li

Many important real-world settings contain multiple players interacting over an unknown duration with probabilistic state transitions, and are naturally modeled as stochastic games. Prior research on algorithms for stochastic games has…

Computer Science and Game Theory · Computer Science 2021-02-19 Sam Ganzfried

We demonstrate that game-theoretic calculations serve as a useful tool for assisting cyber wargaming teams in identifying useful strategies. We note a significant similarity between formulating cyber wargaming strategies and the methodology…

Cryptography and Security · Computer Science 2018-10-01 Edward Colbert , Alexander Kott , Lawrence Knachel

We present a strategic analysis of a trust model that has recently been proposed for promoting cooperative behaviour in user-centric networks. The mechanism for cooperation is based on a combination of reputation and virtual currency…

Computer Science and Game Theory · Computer Science 2013-03-05 Marta Kwiatkowska , David Parker , Aistis Simaitis