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Zero forcing is a combinatorial game played on a graph where the goal is to start with all vertices unfilled and to change them to filled at minimal cost. In the original variation of the game there were two options. Namely, to fill any one…

The focus of this essay is a rigorous treatment of infinite games. An infinite game is defined as a play consisting of a fixed number of players whose sequence of moves is repeated, or iterated ad infinitum. Each sequence corresponds to a…

范畴论 · 数学 2010-01-12 Thomas Kellam Meyer

We consider games played on finite graphs, whose goal is to obtain a trace belonging to a given set of winning traces. We focus on those states from which Player 1 cannot force a win. We explore and compare several criteria for establishing…

计算机科学与博弈论 · 计算机科学 2008-11-12 Marco Faella

We establish a generic result concerning order independence of a dominance relation on finite games. It allows us to draw conclusions about order independence of various dominance relations in a direct and simple way.

计算机科学与博弈论 · 计算机科学 2011-01-06 Krzysztof R. Apt

Procedural content generation in video games has a long history. Existing procedural content generation methods, such as search-based, solver-based, rule-based and grammar-based methods have been applied to various content types such as…

人工智能 · 计算机科学 2020-10-12 Jialin Liu , Sam Snodgrass , Ahmed Khalifa , Sebastian Risi , Georgios N. Yannakakis , Julian Togelius

We deal with an iteration theorem of forcing notion with a kind of countable support of nice enough forcing notion which is proper aleph_2-c.c. forcing notions. We then look at some special cases (Q_D 's preceded by random forcing).

逻辑 · 数学 2007-05-23 Saharon Shelah

We show that there are proper forcings based upon countable trees of creatures that specialize a given Aronszajn tree.

逻辑 · 数学 2007-05-23 Heike Mildenberger , Saharon Shelah

We add to the theory of preservation of topological properties under forcing. In particular, we answer a question of Gilton and Holshouser in a strong sense, showing that if player II has a winning strategy in the strong countable fan…

逻辑 · 数学 2026-01-13 Chris Lambie-Hanson , Pedro Marun

Quantum phenomena have remained largely inaccessible to the general public. This can be attributed to the fact that we do not experience quantum mechanics on a tangible level in our daily lives. Games can provide an environment in which…

量子物理 · 物理学 2019-07-12 Christopher Cantwell

Serious scientific games are games whose purpose is not only fun. In the field of science, the serious goals include crucial activities for scientists: outreach, teaching and research. The number of serious games is increasing rapidly, in…

计算机与社会 · 计算机科学 2018-03-12 Marc Baaden , Olivier Delalande , Nicolas Ferey , Samuela Pasquali , Jérôme Waldispühl , Antoine Taly

We designed and built a game called \textit{Immersive Text Game}, which allows the player to choose a story and a character, and interact with other characters in the story in an immersive manner of dialogues. The game is based on several…

计算与语言 · 计算机科学 2022-03-22 Wanshui Li , Yifan Bai , Jiaxuan Lu , Kexin Yi

Procedurally generating cohesive and interesting game environments is challenging and time-consuming. In order for the relationships between the game elements to be natural, common-sense has to be encoded into arrangement of the elements.…

Recently, in [K.R. Apt and S. Simon: Well-founded extensive games with perfect information, TARK21], we studied well-founded games, a natural extension of finite extensive games with perfect information in which all plays are finite. We…

计算机科学与博弈论 · 计算机科学 2023-07-18 Krzysztof R. Apt , Sunil Simon

We study the abstract Banach-Mazur game played with finitely generated structures instead of open sets. We characterize the existence of winning strategies aiming at a single countably generated structure. We also introduce the concept of…

逻辑 · 数学 2021-08-25 Adam Krawczyk , Wiesław Kubiś

The paper discusses coordination games with remote players that have access to an entangled quantum state. It shows that the entangled state cannot be used by players for communicating information, but that in certain games it can be used…

量子物理 · 物理学 2007-05-23 Vladislav Kargin

We describe a variant of the popular game "Pictionary" based on terms used in elementary and high school physics. We believe that drawing of physical terms helps students develop a deeper understanding of physical concepts behind them, as…

物理教育 · 物理学 2018-09-03 N. Poljak , A. Bosilj , S. Brzaj , J. Dragovic , T. Dubcek , F. Erhardt , M. Jercic

The convexification numerical method with the rigorously established global convergence property is constructed for a problem for the Mean Field Games System of the second order. This is the problem of the retrospective analysis of a game…

数值分析 · 数学 2023-06-30 Michael V. Klibanov , Jingzhi Li , Zhipeng Yang

We define some notions of the decentralization of a deterministic input-output machine. This opens the possibility for introducing game-theoretic elements -- such as strategic players -- inside the machine, as part of its design.

计算复杂性 · 计算机科学 2015-11-23 Pradeep Dubey

Inductions and game semantics are two useful extensions to traditional logic programming. To be specific, inductions can capture a wider class of provable formulas in logic programming. Adopting game semantics can make logic programming…

计算机科学中的逻辑 · 计算机科学 2015-08-11 Keehang Kwon

We revisit games in partition function form, i.e. cooperative games where the payoff of a coalition depends on the partition of the entire set of players. We assume that each coalition computes its worth having probabilistic beliefs over…

计算机科学与博弈论 · 计算机科学 2026-05-05 Paraskevas V. Lekeas , Giorgos Stamatopoulos