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We analyze the problem of identifying large cliques in graphs that are affected by adversarial uncertainty. More specifically, we consider a new formulation, namely the adversarial maximum clique problem, which extends the classical…

Optimization and Control · Mathematics 2026-01-12 Immanuel Bomze , Chiara Faccio , Francesco Rinaldi , Giovanni Spisso

In evolutionary game theory, repeated two-player games are used to study strategy evolution in a population under natural selection. As the evolution greatly depends on the interaction structure, there has been growing interests in studying…

Computer Science and Game Theory · Computer Science 2011-02-21 Colin Cooper , Martin Dyer , Velumailum Mohanaraj

Using the duality techniques introduced by De Meyer (1996a, 1996b), De Meyer and Marino (2005) provided optimal strategies for both players in finitely repeated games with incomplete information on two sides, in the independent case. In…

Optimization and Control · Mathematics 2021-06-09 Fabien Gensbittel , Miquel Oliu-Barton

Infinitely repeated games can support cooperative outcomes that are not equilibria in the one-shot game. The idea is to make sure that any gains from deviating will be offset by retaliation in future rounds. However, this model of…

Computer Science and Game Theory · Computer Science 2024-06-04 Ratip Emin Berker , Vincent Conitzer

This study investigates an adaptive pricing scheme aimed at achieving an efficient state in a traffic congestion game characterized by a diverse population of road users. While the planner possesses knowledge of players' preferences, their…

Theoretical Economics · Economics 2025-12-22 Shota Fujishima

We propose a simple, general and effective technique, Reward Randomization for discovering diverse strategic policies in complex multi-agent games. Combining reward randomization and policy gradient, we derive a new algorithm,…

Artificial Intelligence · Computer Science 2021-03-15 Zhenggang Tang , Chao Yu , Boyuan Chen , Huazhe Xu , Xiaolong Wang , Fei Fang , Simon Du , Yu Wang , Yi Wu

We study the problem of implementing equilibria of complete information games in settings of incomplete information, and address this problem using "recommender mechanisms." A recommender mechanism is one that does not have the power to…

Computer Science and Game Theory · Computer Science 2015-12-11 Michael Kearns , Mallesh M. Pai , Aaron Roth , Jonathan Ullman

We consider imperfect information stochastic games where we require the players to use pure (i.e. non randomised) strategies. We consider reachability, safety, B\"uchi and co-B\"uchi objectives, and investigate the existence of…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Arnaud Carayol , Christof Löding , Olivier Serre

It is well-known that for infinitely repeated games, there are computable strategies that have best responses, but no computable best responses. These results were originally proved for either specific games (e.g., Prisoner's dilemma), or…

Computer Science and Game Theory · Computer Science 2020-06-11 Jakub Dargaj , Jakob Grue Simonsen

Currently the Dempster-Shafer based algorithm and Uniform Random Probability based algorithm are the preferred method of resolving security games, in which defenders are able to identify attackers and only strategy remained ambiguous.…

Artificial Intelligence · Computer Science 2015-08-11 Hossein Khani , Mohsen Afsharchi

Patrolling is one of the central problems in operational security. Formally, a patrolling problem is specified by a set $U$ of nodes (admissible defender's positions), a set $T \subseteq U$ of vulnerable targets, an admissible defender's…

Computer Science and Game Theory · Computer Science 2016-08-08 Tomáš Brázdil , Petr Hliněný , Antonín Kučera , Vojtěch Řehák , Matúš Abaffy

Recent incidents such as the Colonial Pipeline ransomware attack and the SolarWinds hack have shown that traditional defense techniques are becoming insufficient to deter adversaries of growing sophistication. Proactive and deceptive…

Computer Science and Game Theory · Computer Science 2021-10-15 Linan Huang , Quanyan Zhu

Strategy iteration is a technique frequently used for two-player games in order to determine the winner or compute payoffs, but to the best of our knowledge no general framework for strategy iteration has been considered. Inspired by…

Logic in Computer Science · Computer Science 2022-12-14 Paolo Baldan , Richard Eggert , Barbara König , Tommaso Padoan

It is a challenging task to reach global cooperation among self-interested agents, which often requires sophisticated design or usage of incentives. For example, we may apply supervisors or referees who are able to detect and punish…

Physics and Society · Physics 2024-12-20 Ting Ling , Zhang Li , Minyu Feng , Attila Szolnoki

Graph games played by two players over finite-state graphs are central in many problems in computer science. In particular, graph games with $\omega$-regular winning conditions, specified as parity objectives, which can express properties…

Logic in Computer Science · Computer Science 2018-03-20 Tomáš Brázdil , Krishnendu Chatterjee , Jan Křetínský , Viktor Toman

This paper investigates the leader-following consensus problem for a class of multi-agent systems subject to adversarial attack-like external inputs. To address this, we formulate the robust leader-following control problem as a global…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Yunxiao Ren , Dingguo Liang , Yuezu Lv , Zhisheng Duan

Understanding the interactions of agents trained with deep reinforcement learning is crucial for deploying agents in games or the real world. In the former, unreasonable actions confuse players. In the latter, that effect is even more…

Artificial Intelligence · Computer Science 2023-09-08 Manuel Eberhardinger , Johannes Maucher , Setareh Maghsudi

We consider two-player stochastic games played on a finite graph for infinitely many rounds. Stochastic games generalize both Markov decision processes (MDP) by adding an adversary player, and two-player deterministic games by adding…

Computer Science and Game Theory · Computer Science 2022-02-28 Laurent Doyen

Autonomous systems are increasingly expected to operate in the presence of adversaries, though adversaries may infer sensitive information simply by observing a system. Therefore, present a deceptive sequential decision-making framework…

In an adversarial environment, a hostile player performing a task may behave like a non-hostile one in order not to reveal its identity to an opponent. To model such a scenario, we define identity concealment games: zero-sum stochastic…

Computer Science and Game Theory · Computer Science 2024-03-05 Mustafa O. Karabag , Melkior Ornik , Ufuk Topcu
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