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When applied to the same game, probability theory and game theory can disagree on calculated values of the Fisher information, the log likelihood function, entropy gradients, the rank and Jacobian of variable transforms, and even the…

Computer Science and Game Theory · Computer Science 2012-08-21 Michael J. Gagen

Game theory has been applied in many fields of study, especially economics and political science. Arce M. and Sandler (2005) analyzed counter-terrorism using non-cooperative game theory (the players are, for example, the US and the EU),…

Optimization and Control · Mathematics 2021-01-05 Sung Chan Choi

Coalition Logic is an important logic in logical studies of strategic reasoning, whose models are concurrent game models. In this paper, first, we systematically discuss three assumptions of concurrent game models and argue that they are…

Logic in Computer Science · Computer Science 2025-09-12 Yinfeng Li , Fengkui Ju

Game theory has been an effective tool in the control of disease spread and in suggesting optimal policies at both individual and area levels. In this AMS Notices article, we focus on the decision-making development for the intervention of…

Optimization and Control · Mathematics 2022-08-19 Yao Xuan , Robert Balkin , Jiequn Han , Ruimeng Hu , Hector D. Ceniceros

Trust models are widely used in various computer science disciplines. The main purpose of a trust model is to continuously measure trustworthiness of a set of entities based on their behaviors. In this article, the novel notion of "rational…

Cryptography and Security · Computer Science 2017-09-26 Mehrdad Nojoumian

We introduce and investigate a range of general notions of a game. Our principal notion is based on a set of agents modifying a relational structure in a discrete evolution sequence. We also introduce and study a variety of ways to model…

Logic in Computer Science · Computer Science 2019-11-20 Antti Kuusisto

Matrix games constitute a fundamental problem of game theory and describe a situation of two players with completely conflicting interests. We show how methods from statistical mechanics can be used to investigate the statistical properties…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Berg , A. Engel

Advances in machine learning have led to broad deployment of systems with impressive performance on important problems. Nonetheless, these systems can be induced to make errors on data that are surprisingly similar to examples the learned…

Machine Learning · Computer Science 2018-07-23 Justin Gilmer , Ryan P. Adams , Ian Goodfellow , David Andersen , George E. Dahl

Poker is in the family of imperfect information games unlike other games such as chess, connect four, etc which are perfect information game instead. While many perfect information games have been solved, no non-trivial imperfect…

Computer Science and Game Theory · Computer Science 2024-01-15 Prathamesh Sonawane , Arav Chheda

In recent years, the games industry has made a major move towards data-driven development, using data analytics and player modeling to inform design decisions. Data-driven techniques are beneficial as they allow for the study of player…

Human-Computer Interaction · Computer Science 2020-06-22 Magy Seif El-Nasr , Erica Kleinman

The swift evolution of Large-scale Models (LMs), either language-focused or multi-modal, has garnered extensive attention in both academy and industry. But despite the surge in interest in this rapidly evolving area, there are scarce…

Artificial Intelligence · Computer Science 2024-03-18 Xinrun Xu , Yuxin Wang , Chaoyi Xu , Ziluo Ding , Jiechuan Jiang , Zhiming Ding , Börje F. Karlsson

Admissible strategies, i.e. those that are not dominated by any other strategy, are a typical rationality notion in game theory. In many classes of games this is justified by results showing that any strategy is admissible or dominated by…

Computer Science and Game Theory · Computer Science 2018-05-30 Nicolas Basset , Ismaël Jecker , Arno Pauly , Jean-François Raskin , Marie Van den Bogaard

On grounds of the discussed material, we reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. The idea of quantum artificial intelligence is…

Quantum Physics · Physics 2012-03-24 Katarzyna Miakisz , Edward W. Piotrowski , Jan Sladkowski

This work contains the mathematical exploration of a few prototypical games in which central concepts from statistics and probability theory naturally emerge. The first two kinds of games are termed Fisher and Bayesian games, which are…

Statistics Theory · Mathematics 2024-02-27 Jozsef Konczer

Although synergy is an important concept that is strongly ingrained in games, it has not been widely discussed by the games community. This is due to the vagueness of the concept and the fact that there is no clear agreement on what it…

Computer Science and Game Theory · Computer Science 2025-02-17 Joshua Kritz , Raluca Gaina

The concept of "task" is at the core of artificial intelligence (AI): Tasks are used for training and evaluating AI systems, which are built in order to perform and automatize tasks we deem useful. In other fields of engineering theoretical…

Artificial Intelligence · Computer Science 2016-05-13 Kristinn R. Thórisson , Jordi Bieger , Thröstur Thorarensen , Jóna S. Sigurðardóttir , Bas R. Steunebrink

This short note is devoted to the unraveling of the hidden interactivity of ordinary games which is an artefact of predictions of the behaviour of other players by the fixed player and describes deviations of their real behaviour from such…

Optimization and Control · Mathematics 2007-05-23 Denis V. Juriev

Causal reasoning and game-theoretic reasoning are fundamental topics in artificial intelligence, among many other disciplines: this paper is concerned with their intersection. Despite their importance, a formal framework that supports both…

Artificial Intelligence · Computer Science 2023-04-18 Lewis Hammond , James Fox , Tom Everitt , Ryan Carey , Alessandro Abate , Michael Wooldridge

Useful social science theories predict behavior across settings. However, applying a theory to make predictions in new settings is challenging: rarely can it be done without ad hoc modifications to account for setting-specific factors. We…

General Economics · Economics 2026-03-03 Benjamin S. Manning , John J. Horton

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic ideas and recent development in quantum game theory. On grounds…

Quantum Physics · Physics 2007-05-23 E. W. Piotrowski , J. Sladkowski