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Human societies engage in a number of games which use tokens as a means to allocate, issue and access gated resources and property rights: The notion of exchanging tokens that represent and carry value from the past into the future to…

Computer Science and Game Theory · Computer Science 2019-04-02 Viroshan Naicker

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

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

We introduce parallelism into the basic algebra of games to model concurrent game algebraically. Parallelism is treated as a new kind of game operation. The resulted algebra of concurrent games can be used widely to reason the parallel…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

The nascent field of neurogames relies on active Brain-Computer Interface input to drive its game mechanics. Consequently, users expect their conscious will to be meaningfully reflected on the virtual environment they're engaging in.…

Human-Computer Interaction · Computer Science 2025-04-22 Diego Saldivar

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

A second quantization procedure for the field-theoretic description of interactive games is analyzed. Its relation to the dynamical inverse problem of representation theory is emphasized.

Representation Theory · Mathematics 2007-05-23 Denis V. Juriev

Automated game design is the problem of automatically producing games through computational processes. Traditionally, these methods have relied on the authoring of search spaces by a designer, defining the space of all possible games for…

Artificial Intelligence · Computer Science 2021-02-22 Matthew Guzdial , Mark Riedl

Zero forcing is a combinatorial game played on a graph with a goal of turning all of the vertices of the graph black while having to use as few "unforced" moves as possible. This leads to a parameter known as the zero forcing number which…

Combinatorics · Mathematics 2012-11-21 Steve Butler , Jason Grout , H. Tracy Hall

I consider issues in distributed computation that should be of relevance to game theory. In particular, I focus on (a) representing knowledge and uncertainty, (b) dealing with failures, and (c) specification of mechanisms.

Computer Science and Game Theory · Computer Science 2007-05-23 Joseph Y. Halpern

Game theory is usually considered applied mathematics, but a few game-theoretic results, such as Borel determinacy, were developed by mathematicians for mathematics in a broad sense. These results usually state determinacy, i.e. the…

Logic · Mathematics 2014-05-09 Stéphane Le Roux

Matching games naturally generalize assignment games, a well-known class of cooperative games. Interest in matching games has grown recently due to some breakthrough results and new applications. This state-of-the-art survey provides an…

Computer Science and Game Theory · Computer Science 2023-06-22 Márton Benedek , Péter Biró , Matthew Johnson , Daniël Paulusma , Xin Ye

Some class of sums which naturally include the sums of powers of integers is considered. A number of conjectures concerning a representation of these sums is made.

Combinatorics · Mathematics 2017-03-02 Andrei K. Svinin

Energy games are a well-studied class of 2-player turn-based games on a finite graph where transitions are labeled with integer vectors which represent changes in a multidimensional resource (the energy). One player tries to keep the…

Computer Science and Game Theory · Computer Science 2014-05-06 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Piotr Hofman , Richard Mayr , K. Narayan Kumar , Patrick Totzke

As technologies become more and more pervasive, there is a need for considering the affective dimension of interaction with computer systems to make them more human-like. Current demands for this matter include accurate emotion recognition,…

Human-Computer Interaction · Computer Science 2018-06-13 Barbara Giżycka , Grzegorz J. Nalepa , Paweł Jemioło

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

Computer Science and Game Theory · Computer Science 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

Videogames have been a catalyst for advances in many research fields, such as artificial intelligence, human-computer interaction or virtual reality. Over the years, research in fields such as artificial intelligence has enabled the design…

Neurons and Cognition · Quantitative Biology 2025-03-20 Paolo Burelli , Laurits Dixen

This paper presents iNNK, a multiplayer drawing game where human players team up against an NN. The players need to successfully communicate a secret code word to each other through drawings, without being deciphered by the NN. With this…

We build new quantum games, similar to the spin flip game, where as a novelty the players perform measurements on a quantum system associated to a continuous time search algorithm. The measurements collapse the wave function into one of the…

Quantum Physics · Physics 2009-11-13 Alejandro Romanelli

The video game industry plays an essential role in the entertainment sphere of our society. However, from Monopoly to Flight Simulators, serious games have also been appealing tools for learning a new language, conveying values, or training…

Human-Computer Interaction · Computer Science 2023-07-06 Jaime Pérez , Mario Castro , Gregorio López