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The article considers strategies of coalitions that are based on intelligence information about moves of some of the other agents. The main technical result is a sound and complete logical system that describes the interplay between…

Computer Science and Game Theory · Computer Science 2019-10-17 Pavel Naumov , Yuan Yuan

Game theory is a foundational framework for analyzing strategic interactions, and its intersection with large language models (LLMs) is a rapidly growing field. However, existing surveys mainly focus narrowly on using game theory to…

Artificial Intelligence · Computer Science 2025-08-06 Haoran Sun , Yusen Wu , Peng Wang , Wei Chen , Yukun Cheng , Xiaotie Deng , Xu Chu

In this lecture note, we introduce the basic concepts of game theory (GT), a branch of mathematics traditionally studied and applied in the areas of economics, political science, and biology, which has emerged in the last fifteen years as…

Computer Science and Game Theory · Computer Science 2023-07-19 Giacomo Bacci , Luca Sanguinetti , Marco Luise

Cyber resilience is a complementary concept to cybersecurity, focusing on the preparation, response, and recovery from cyber threats that are challenging to prevent. Organizations increasingly face such threats in an evolving cyber threat…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Quanyan Zhu

We propose the study of mathematical ludology, which aims to formally interrogate questions of interest to game studies and game design in particular. The goal is to extend our mathematical understanding of complex games beyond…

Artificial Intelligence · Computer Science 2020-01-07 Paul Riggins , David McPherson

If you are an artificial intelligence researcher, you should look to video games as ideal testbeds for the work you do. If you are a video game developer, you should look to AI for the technology that makes completely new types of games…

Artificial Intelligence · Computer Science 2016-12-07 Julian Togelius

An expository introduction to bidding chess and other bidding games. To appear in Mathematical Intelligencer.

History and Overview · Mathematics 2015-03-13 Jay Bhat , Sam Payne

Game theoretical techniques have recently become prevalent in many engineering applications, notably in communications. With the emergence of cooperation as a new communication paradigm, and the need for self-organizing, decentralized, and…

Information Theory · Computer Science 2015-05-13 Walid Saad , Zhu Han , Merouane Debbah , Are Hjørungnes , Tamer Basar

In this invited contribution, we propose a comprehensive introduction to game theory applied in computer aided synthesis. In this context, we give some classical results on two-player zero-sum games and then on multi-player non zero-sum…

Computer Science and Game Theory · Computer Science 2017-06-05 Véronique Bruyère

Game theory is a powerful analytical tool for modeling decision makers strategies, behaviors and interactions. Act and decisions of a decision maker can benefit or negatively impact other decision makers interests. Game theory has been…

Systems and Control · Computer Science 2018-05-01 Ali Mohammadi , Sanaz Rabinia

We review and develop a selection of models of systems with competition and cooperation, with origins in economics, where deep insights can be obtained by the mathematical methods of game theory. Some of these models were touched upon in…

Optimization and Control · Mathematics 2012-01-10 Vassili N. Kolokoltsov , Oleg A. Malafeyev

Formal models of games help us account for and predict behavior, leading to more robust and innovative designs. While the games research community has proposed many formalisms for both the "game half" (game models, game description…

Programming Languages · Computer Science 2017-03-17 Chris Martens , Matthew A. Hammer

We present a general computation model inspired in the notion of information hiding in software engineering. This model has the form of a game which we call quiz game. It allows in a uniform way to prove exponential lower bounds for several…

Algebraic Geometry · Mathematics 2015-12-18 Bernd Bank , Joos Heintz , Guillermo Matera , Jose L. Montana , Luis M. Pardo , Andres Rojas Paredes

Recent years have seen an explosive increase in research on large language models (LLMs), and accompanying public engagement on the topic. While starting as a niche area within natural language processing, LLMs have shown remarkable…

Computation and Language · Computer Science 2024-12-10 Roberto Gallotta , Graham Todd , Marvin Zammit , Sam Earle , Antonios Liapis , Julian Togelius , Georgios N. Yannakakis

Game theory is used by all behavioral sciences, but its development has long centered around tools for relatively simple games and toy systems, such as the economic interpretation of equilibrium outcomes. Our contribution, compositional…

Computer Science and Game Theory · Computer Science 2023-03-13 Seth Frey , Jules Hedges , Joshua Tan , Philipp Zahn

In this article, we study the structure, and in particular the Grundy values, of a family of games known as memgames.

Combinatorics · Mathematics 2023-11-01 Urban Larsson , Simon Rubinstein-Salzedo , Aaron N. Siegel

This paper is the first in series of four papers that present an analytical approach to war using game theory. We try to explore why is it that "true peace" can't be achieved and all or any efforts we make towards that goal will have huge…

Other Computer Science · Computer Science 2013-05-30 Vikram Dhillon

Insider threats is the most concerned cybersecurity problem which is poorly addressed by widely used security solutions. Despite the fact that there have been several scientific publications in this area, but from our innovative study…

Cryptography and Security · Computer Science 2022-12-13 Angad Pal Singh , Ankit Sharma

This article takes an oblique sidestep from two previous papers, wherein an approach to reformulation of game theory in terms of information theory, topology, as well as a few other notions was indicated. In this document a description is…

Artificial Intelligence · Computer Science 2019-12-03 Christopher Goddard

We give a self contained introduction to a few quantum game protocols, starting with the quantum version of the two-player two-choice game of Prisoners dilemma, followed by a n-player generalization trough the quantum minority games, and…

Quantum Physics · Physics 2012-04-04 Puya Sharif , Hoshang Heydari