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The report suggests the concept of risk, outlining two mathematical structures necessary for risk genesis: the set of outcomes and, in a general case, partial order of preference on it. It is shown that this minimum partial order should…

Artificial Intelligence · Computer Science 2020-04-14 Tatiana Urazaeva

Games have been the perfect test-beds for artificial intelligence research for the characteristics that widely exist in real-world scenarios. Learning and optimisation, decision making in dynamic and uncertain environments, game theory,…

Artificial Intelligence · Computer Science 2024-06-05 Chengpeng Hu , Yunlong Zhao , Ziqi Wang , Haocheng Du , Jialin Liu

The system mentioned in the title belongs to the family of the so-called massively multi-player online social games (MMOSG). It features a scoring system for the elements of the game that is prone to herding effects. We analyze in detail…

Probability · Mathematics 2014-02-11 Guy Fayolle , Jean-Marc Lasgouttes

First cycle games (FCG) are played on a finite graph by two players who push a token along the edges until a vertex is repeated, and a simple cycle is formed. The winner is determined by some fixed property Y of the sequence of labels of…

Logic in Computer Science · Computer Science 2014-04-04 Benjamin Aminof , Sasha Rubin

There has been a remarkable increase in work at the interface of computer science and game theory in the past decade. In this article I survey some of the main themes of work in the area, with a focus on the work in computer science. Given…

Computer Science and Game Theory · Computer Science 2021-09-07 Joseph Y. Halpern

The framework of graded semantics uses graded monads to capture behavioural equivalences of varying granularity, for example as found on the linear-time/branching-time spectrum, over general system types. We describe a generic…

Logic in Computer Science · Computer Science 2024-05-08 Chase Ford , Harsh Beohar , Barbara König , Stefan Milius , Lutz Schröder

Quantum families of maps between quantum spaces are defined and studied. We prove that quantum semigroup (and sometimes quantum group) structures arise naturally on such objects out of more fundamental properties. As particular cases we…

Operator Algebras · Mathematics 2015-06-26 Piotr M. Soltan

This essay gives a self-contained introduction to quantum game theory, and is primarily oriented to economists with little or no acquaintance with quantum mechanics. It assumes little more than a basic knowledge of vector algebra. Quantum…

Quantum Physics · Physics 2007-05-23 J. Orlin Grabbe

Stochastic games are a natural model for the synthesis of controllers confronted to adversarial and/or random actions. In particular, $\omega$-regular games of infinite length can represent reactive systems which are not expected to reach a…

Computer Science and Game Theory · Computer Science 2009-02-17 Florian Horn

Game designs often center on the game mechanics---rules governing the logical evolution of the game. We seek to develop an intelligent system that generates computer games. As first steps towards this goal we present a composable and…

Artificial Intelligence · Computer Science 2019-08-06 Alexander Zook , Mark O. Riedl

This paper introduces our gamification of a part of our software design curriculum. Based on typical design principles a motivating learning game is developed to train students in software design. We use Bloom's taxonomy to determine…

Human-Computer Interaction · Computer Science 2014-01-22 Dave R. Stikkolorum , Michel R. V. Chaudron , Oswald de Bruin

We study continuity properties of stochastic game problems with respect to various topologies on information structures, defined as probability measures characterizing a game. We will establish continuity properties of the value function…

Optimization and Control · Mathematics 2022-11-02 Ian Hogeboom-Burr , Serdar Yüksel

We introduce and study Minkowski games. These are two player games, where the players take turns to chose positions in $\mathbb{R}^d$ based on some rules. Variants include boundedness games, where one player wants to keep the positions…

Computer Science and Game Theory · Computer Science 2016-11-28 Stéphane Le Roux , Arno Pauly , Jean-François Raskin

Historically, games of all kinds have often been the subject of study in scientific works of Computer Science, including the field of machine learning. By using machine learning techniques and applying them to a game with defined rules or a…

Machine Learning · Computer Science 2018-10-10 Felipe Zilio , Marcelo Prates , Luis Lamb

Candogan et al. (2011) provide an orthogonal direct-sum decomposition of finite games into potential, harmonic and nonstrategic components. In this paper we study the issue of decomposing games that are strategically equivalent from a…

Computer Science and Game Theory · Computer Science 2020-04-01 Joseph Abdou , Nikolaos Pnevmatikos , Marco Scarsini , Xavier Venel

This is an expository article about the topological theory of digital images, and a gamification of a research project.

History and Overview · Mathematics 2016-02-11 P. Christopher Staecker

Chess is an emblematic sport that stands out because of its age, popularity and complexity. It has served to study human behavior from the perspective of a wide number of disciplines, from cognitive skills such as memory and learning, to…

Physics and Society · Physics 2017-11-10 Nahuel Almeira , Ana Laura Schaigorodsky , Juan Ignacio Perotti , Orlando Vito Billoni

Solids are rigid, which means that when left undisturbed, their structures are nearly static. It follows that these structures depend on history -- but it is surprising that they hold readable memories of past events. Here we review the…

Soft Condensed Matter · Physics 2025-02-11 Joseph D. Paulsen , Nathan C. Keim

Game Logic is an excellent setting to study proofs-about-programs via the interpretation of those proofs as programs, because constructive proofs for games correspond to effective winning strategies to follow in response to the opponent's…

Logic in Computer Science · Computer Science 2022-10-07 Rose Bohrer , André Platzer

Parity games are infinite two-player games played on directed graphs. Parity game solvers are used in the domain of formal verification. This paper defines parametrized parity games and introduces an operation, Justify, that determines a…

Logic in Computer Science · Computer Science 2021-02-03 Ruben Lapauw , Maurice Bruynooghe , Marc Denecker