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We consider a Markovian stochastic control problem with model uncertainty. The controller (intelligent player) observes only the state, and, therefore, uses feed-back (closed-loop) strategies. The adverse player (nature) who does not have a…

Optimization and Control · Mathematics 2014-04-09 Mihai Sîrbu

Adversarial training is a standard technique for training adversarially robust models. In this paper, we study adversarial training as an alternating best-response strategy in a 2-player zero-sum game. We prove that even in a simple…

Machine Learning · Computer Science 2023-03-01 Maria-Florina Balcan , Rattana Pukdee , Pradeep Ravikumar , Hongyang Zhang

Stackelberg equilibria have become increasingly important as a solution concept in computational game theory, largely inspired by practical problems such as security settings. In practice, however, there is typically uncertainty regarding…

Computer Science and Game Theory · Computer Science 2017-11-23 Christian Kroer , Gabriele Farina , Tuomas Sandholm

We study mechanisms of synchronisation, coordination, and equilibrium selection in two-player coordination games on multilayer networks. We apply the approach from evolutionary game theory with three possible update rules: the replicator…

Physics and Society · Physics 2023-08-22 Tomasz Raducha , Maxi San Miguel

We consider concurrent games played on graphs. At every round of the game, each player simultaneously and independently selects a move; the moves jointly determine the transition to a successor state. Two basic objectives are the safety…

Computer Science and Game Theory · Computer Science 2008-12-18 Krishnendu Chatterjee , Luca de Alfaro , Thomas A. Henzinger

Multi-leader multi-follower games are a class of hierarchical games in which a collection of leaders compete in a Nash game constrained by the equilibrium conditions of another Nash game amongst the followers. The resulting equilibrium…

Optimization and Control · Mathematics 2014-08-27 Ankur A. Kulkarni , Uday V. Shanbhag

This paper investigates strategic interactions within a three party deception security game involving a defender, an insider, and external attackers. We propose a robust deception mechanism where the leader manipulates game parameters…

Computer Science and Game Theory · Computer Science 2026-04-06 Xiaoyu Xin , Gehui Xu , Yiguang Hong

This paper considers the problem of Nash equilibrium (NE) seeking in aggregative games, where the payoff function of each player depends on an aggregate of all players' actions. We present a distributed continuous time algorithm such that…

Optimization and Control · Mathematics 2019-11-04 Mehran Shakarami , Claudio De Persis , Nima Monshizadeh

In this paper, we propose a game-theoretical framework to investigate advanced persistent threat problems with two types of insider threats: malicious and inadvertent. Within this framework, a unified three-player game is established and…

Optimization and Control · Mathematics 2022-09-20 Ziqin Chen , Guanpu Chen , Yiguang Hong

In this work, we study the system of interacting non-cooperative two Q-learning agents, where one agent has the privilege of observing the other's actions. We show that this information asymmetry can lead to a stable outcome of population…

Machine Learning · Computer Science 2021-01-26 Ezra Tampubolon , Haris Ceribasic , Holger Boche

There has been significant recent interest in leader-follower security games, where the leader dominates the decision process with the Stackelberg equilibrium (SE) strategy. However, such a leader-follower scheme may become invalid in…

Computer Science and Game Theory · Computer Science 2022-10-31 Gehui Xu , Guanpu Chen , Zhaoyang Cheng , Yiguang Hong , Hongsheng Qi

We consider a game-theoretic setting to model the interplay between attacker and defender in the context of information flow, and to reason about their optimal strategies. In contrast with standard game theory, in our games the utility of a…

Cryptography and Security · Computer Science 2022-05-03 Mário S. Alvim , Konstantinos Chatzikokolakis , Yusuke Kawamoto , Catuscia Palamidessi

Game theory provides a well-established framework for the analysis of concurrent and multi-agent systems. The basic idea is that concurrent processes (agents) can be understood as corresponding to players in a game; plays represent the…

Logic in Computer Science · Computer Science 2023-06-22 Julian Gutierrez , Paul Harrenstein , Giuseppe Perelli , Michael Wooldridge

We study data corruption robustness in offline two-player zero-sum Markov games. Given a dataset of realized trajectories of two players, an adversary is allowed to modify an $\epsilon$-fraction of it. The learner's goal is to identify an…

Computer Science and Game Theory · Computer Science 2024-03-14 Andi Nika , Debmalya Mandal , Adish Singla , Goran Radanović

In this paper we consider a target-guarding differential game where the defender must protect a linearly translating line-segment by intercepting an attacker who tries to reach it. In contrast to common target-guarding problems, we assume…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Goutam Das , Michael Dorothy , Zachary I. Bell , Daigo Shishika

In this short note we study a class of multi-player, turn-based games with deterministic state transitions and reachability / safety objectives (this class contains as special cases "classic" two-player reachability and safety games as well…

Computer Science and Game Theory · Computer Science 2018-10-05 Athanasios Kehagias

Imitation is simple behavior which uses successful actions of others in order to deal with one's own problems. Because success of imitation generally depends on whether profit of an imitating agent coincides with those of other agents or…

Physics and Society · Physics 2023-01-23 Masahiko Ueda

We design and analyze attention games that incentivize validators to check computation results. We show that no pure strategy Nash equilibrium of the game without outside parties exists by a simple argument. We then proceed to calculate the…

Computer Science and Game Theory · Computer Science 2023-08-08 Akaki Mamageishvili , Edward W. Felten

We consider a general nonzero-sum impulse game with two players. The main mathematical contribution of the paper is a verification theorem which provides, under some regularity conditions, a suitable system of quasi-variational inequalities…

Probability · Mathematics 2018-11-09 René Aïd , Matteo Basei , Giorgia Callegaro , Luciano Campi , Tiziano Vargiolu

This paper studies the sensor placement problem in a networked control system for improving its security against cyber-physical attacks. The problem is formulated as a zero-sum game between an attacker and a detector. The attacker's…

Optimization and Control · Mathematics 2018-09-25 Mohammad Pirani , Ehsan Nekouei , Henrik Sandberg , Karl Henrik Johansson
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