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We will describe a combinatorial game that models the problem of resolution of singularities of algebraic varieties over a field of characteristic zero. By giving a winning strategy for this game, we give another proof of the existence of…

Algebraic Geometry · Mathematics 2014-01-31 Josef Schicho

In this article, we present a new machine learning model by imitation based on the linguistic description of complex phenomena. The idea consists of, first, capturing the behaviour of human players by creating a computational perception…

Machine Learning · Computer Science 2021-01-08 Clemente Rubio-Manzano , Tomas Lermanda , CLaudia Martinez , Alejandra Segura , Christian Vidal

A query game is a pair of a set $Q$ of queries and a set $\mathcal{F}$ of functions, or codewords $f:Q\rightarrow \mathbb{Z}.$ We think of this as a two-player game. One player, Codemaker, picks a hidden codeword $f\in \mathcal{F}$. The…

Combinatorics · Mathematics 2023-07-11 Anders Martinsson

We present a unifying representation of computation as a two-player game between an \emph{Algorithm} and \emph{Nature}, grounded in domain theory and game theory. The Algorithm produces progressively refined approximations within a Scott…

Computational Complexity · Computer Science 2025-11-04 Paul Alexander Bilokon

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

Cooperative interval games are a generalized model of cooperative games in which the worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of…

Optimization and Control · Mathematics 2018-07-26 Jan Bok , Milan Hladík

The peculiarity of adversarial team games resides in the asymmetric information available to the team members during the play, which makes the equilibrium computation problem hard even with zero-sum payoffs. The algorithms available in the…

Computer Science and Game Theory · Computer Science 2022-01-26 Luca Carminati , Federico Cacciamani , Marco Ciccone , Nicola Gatti

The ``losing positions" of certain combinatorial games constitute linear error detecting and correcting codes. We show that a large class of games that can be cast in the form of *annihilation games*, provides a potentially polynomial…

Combinatorics · Mathematics 2016-09-06 Aviezri S. Fraenkel

Games have a long history as benchmarks for progress in artificial intelligence. Approaches using search and learning produced strong performance across many perfect information games, and approaches using game-theoretic reasoning and…

Human computation games (HCGs) are a crowdsourcing approach to solving computationally-intractable tasks using games. In this paper, we describe the need for generalizable HCG design knowledge that accommodates the needs of both players and…

Human-Computer Interaction · Computer Science 2017-06-13 Kristin Siu , Alexander Zook , Mark O. Riedl

Prior research has explored potential applications of video games in programming education to elicit computational thinking skills. However, existing approaches are often either too general, not taking into account the diversity of genres…

Multimedia · Computer Science 2024-07-08 Giulio Barbero , Marcello A. Gómez-Maureira , Felienne F. J. Hermans

All natural things process and transform information. They receive environmental information as input, and transform it into appropriate output responses. Much of science is dedicated to building models of such systems -- algorithmic…

Quantum Physics · Physics 2017-02-14 Jayne Thompson , Andrew J. P. Garner , Vlatko Vedral , Mile Gu

It was recently shown that a hidden variable model can be constructed for universal quantum computation with magic states on qubits. Here we show that this result can be extended, and a hidden variable model can be defined for quantum…

Quantum Physics · Physics 2024-05-01 Michael Zurel , Cihan Okay , Robert Raussendorf , Arne Heimendahl

This study employs gamified experiments to investigate and refine the Schelling Model of Segregation, a framework that demonstrates how individual preferences can lead to systemic segregation. Using a movement selection algorithm derived…

Physics and Society · Physics 2025-01-15 Aleix Nicolás Olivé , Luce Prignano , Dimitri Marinelli , Emanuele Cozzo

When users lack specific knowledge of various system parameters, their uncertainty may lead them to make undesirable deviations in their decision making. To alleviate this, an informed system operator may elect to signal information to…

Computer Science and Game Theory · Computer Science 2023-03-31 Bryce L. Ferguson , Philip N. Brown , Jason R. Marden

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

Decentralized team problems where players have asymmetric information about the state of the underlying stochastic system have been actively studied, but \emph{games} between such teams are less understood. We consider a general model of…

Multiagent Systems · Computer Science 2021-09-29 Dhruva Kartik , Ashutosh Nayyar , Urbashi Mitra

Multiplayer computer games play a big role in the ever-growing entertainment industry. Being competitive in this industry means releasing the best possible software, and reliability is a key feature to win the market. Computer games are…

Software Engineering · Computer Science 2019-04-22 Ruslan Rezin , Ilya Afanasyev , Manuel Mazzara , Victor Rivera

We develop a macro-model of information retrieval process using Game Theory as a mathematical theory of conflicts. We represent the participants of the Information Retrieval process as a game of two abstract players. The first player is the…

Information Retrieval · Computer Science 2009-05-21 George Parfionov , Romàn Zapatrin

Standard game theory assumes that the structure of the game is common knowledge among players. We relax this assumption by considering extensive games where agents may be unaware of the complete structure of the game. In particular, they…

Computer Science and Game Theory · Computer Science 2007-05-23 Joseph Y. Halpern , Leandro C. Rêgo
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