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This paper reviews the fully complete hypergames model of system $F$, presented a decade ago in the author's thesis. Instantiating type variables is modelled by allowing ``games as moves''. The uniformity of a quantified type variable…

Logic · Mathematics 2008-01-18 Dominic Hughes

\emph{Ex ante} correlation is becoming the mainstream approach for \emph{sequential adversarial team games}, where a team of players faces another team in a zero-sum game. It is known that team members' asymmetric information makes both…

Computer Science and Game Theory · Computer Science 2022-06-22 Luca Carminati , Federico Cacciamani , Marco Ciccone , Nicola Gatti

Recent years have witnessed a significant increase in cyber crimes and system failures caused by misinformation. Many of these instances can be classified as gaslighting, which involves manipulating the perceptions of others through the use…

Optimization and Control · Mathematics 2023-04-04 Shutian Liu , Quanyan Zhu

For a two-player imperfect-information extensive-form game (IIEFG) with $K$ time steps and a player action space of size $U$, the game tree complexity is $U^{2K}$, causing existing IIEFG solvers to struggle with large or infinite $(U,K)$,…

Computer Science and Game Theory · Computer Science 2026-03-03 Mukesh Ghimire , Lei Zhang , Zhe Xu , Yi Ren

Game theory is a powerful framework for reasoning about strategic interactions, with applications in domains ranging from day-to-day life to international politics. However, applying formal reasoning tools in such contexts is challenging,…

Artificial Intelligence · Computer Science 2024-10-15 Agnieszka Mensfelt , Kostas Stathis , Vince Trencsenyi

Bayesian games model interactive decision-making where players have incomplete information -- e.g., regarding payoffs and private data on players' strategies and preferences -- and must actively reason and update their belief models (with…

Computer Science and Game Theory · Computer Science 2024-05-24 Zuyuan Zhang , Mahdi Imani , Tian Lan

Reliable deployment of machine learning models such as neural networks continues to be challenging due to several limitations. Some of the main shortcomings are the lack of interpretability and the lack of robustness against adversarial…

Machine Learning · Computer Science 2025-02-18 Jon Vadillo , Roberto Santana , Jose A. Lozano

Studying games in the complete information model makes them analytically tractable. However, large $n$ player interactions are more realistically modeled as games of incomplete information, where players may know little to nothing about the…

Computer Science and Game Theory · Computer Science 2015-12-11 Ryan Rogers , Aaron Roth

Limited lookahead has been studied for decades in perfect-information games. We initiate a new direction via two simultaneous deviation points: generalization to imperfect-information games and a game-theoretic approach. We study how one…

Computer Science and Game Theory · Computer Science 2020-03-20 Christian Kroer , Tuomas Sandholm

The CFR+ algorithm for solving imperfect information games is a variant of the popular CFR algorithm, with faster empirical performance on a range of problems. It was introduced with a theoretical upper bound on solution error, but…

Computer Science and Game Theory · Computer Science 2019-02-21 Neil Burch , Matej Moravcik , Martin Schmid

We introduce Mean-Field Game (MFG) epidemiological models, in which immunity either wanes with time in a fully observable way or disappears instantaneously with no direct observation (making a previously recovered individual fully…

Optimization and Control · Mathematics 2026-04-08 Carlos Doebeli , Alexander Vladimirsky

The problem of efficient sharing of a resource is nearly ubiquitous. Except for pure public goods, each agent's use creates a negative externality; often the negative externality is so strong that efficient sharing is impossible in the…

Computer Science and Game Theory · Computer Science 2013-09-03 Mihaela van der Schaar , Yuanzhang Xiao , William Zame

Fictitious play (FP) is a canonical game-theoretic learning algorithm which has been deployed extensively in decentralized control scenarios. However standard treatments of FP, and of many other game-theoretic models, assume rather…

Optimization and Control · Mathematics 2016-09-29 Brian Swenson , Soummya Kar , João Xavier , David S. Leslie

Historically applied exclusively to perfect information games, depth-limited search with value functions has been key to recent advances in AI for imperfect information games. Most prominent approaches with strong theoretical guarantees…

Computer Science and Game Theory · Computer Science 2023-11-27 Christopher Solinas , Douglas Rebstock , Nathan R. Sturtevant , Michael Buro

To take advantage of strategy commitment, a useful tactic of playing games, a leader must learn enough information about the follower's payoff function. However, this leaves the follower a chance to provide fake information and influence…

Computer Science and Game Theory · Computer Science 2023-06-14 Yurong Chen , Xiaotie Deng , Yuhao Li

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 investigate infinite games on finite graphs where the information flow is perturbed by nondeterministic signalling delays. It is known that such perturbations make synthesis problems virtually unsolvable, in the general case. On the…

Computer Science and Game Theory · Computer Science 2015-06-15 Dietmar Berwanger , Marie van den Bogaard

We provide a self-contained introduction to finite extensive games with perfect information. In these games players proceed in turns having, at each stage, finitely many moves to their disposal, each play always ends, and in each play the…

Computer Science and Game Theory · Computer Science 2022-04-20 Krzysztof R. Apt , Sunil Simon

Component substitution has numerous practical applications and constitutes an active research topic. This paper proposes to enrich an existing component-based framework--a model with dynamic reconfigurations making the system evolve--with a…

Software Engineering · Computer Science 2014-08-10 Arnaud Lanoix , Olga Kouchnarenko

We modify the concept of quantum strategic game to make it useful for extensive form games. We prove that our modification allows to consider the normal representation of any finite extensive game using the fundamental concepts of quantum…

Computer Science and Game Theory · Computer Science 2011-07-20 Piotr Frackiewicz