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Evolutionary game theory classically investigates which behavioral patterns are evolutionarily successful in a single game. More recently, a number of contributions have studied the evolution of preferences instead: which subjective…

计算机科学与博弈论 · 计算机科学 2015-05-27 Paolo Galeazzi , Michael Franke

We use the example of playing a 2-player game with entangled quantum objects to investigate the effect of quantum correlation. We find that for simple game scenarios it is classical correlation that is the central feature and that these…

量子物理 · 物理学 2013-05-21 Simon J. D. Phoenix , Faisal Shah Khan

In this paper we will discuss scoring play games. We will give the basic definitions for scoring play games, and show that they form a well defined set, with clear and distinct outcome classes under these definitions. We will also show that…

组合数学 · 数学 2012-11-08 Fraser Stewart

We investigate the expressive power of a Turing-complete logic based on game-theoretic semantics. By defining suitable fragments and variants of the logic, we obtain a range of natural characterizations for some fundamental families of…

逻辑 · 数学 2023-04-14 Antti Kuusisto

The chaos game representation (CGR) is an interesting method to visualize one-dimensional sequences. In this paper, we show how to construct a chaos game representation. The applications mentioned here are biological, in which CGR was able…

历史与综述 · 数学 2020-12-18 Eunice Y. S. Chan , Robert M. Corless

We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

计算机科学与博弈论 · 计算机科学 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

Turing patterns can be observed in reaction-diffusion systems where chemical species have different diffusion constants. In recent years, several studies investigated the effects of noise on Turing patterns and showed that the parameter…

计算物理 · 物理学 2013-10-30 Yang Cao , Radek Erban

We study a random game in which two players in turn play a fixed number of moves. For each move, there are two possible choices. To each possible outcome of the game we assign a winner in an i.i.d. fashion with a fixed parameter p. In the…

概率论 · 数学 2024-09-05 Natalia Cardona-Tobón , Anja Sturm , Jan M. Swart

In this paper we study the computational complexity of the game of Scrabble. We prove the PSPACE-completeness of a derandomized model of the game, answering an open question of Erik Demaine and Robert Hearn.

计算复杂性 · 计算机科学 2012-01-26 Michael Lampis , Valia Mitsou , Karolina Sołtys

Fragmentation processes are part of a broad class of models describing the evolution of a system of particles which split apart at random. These models are widely used in biology, materials science and nuclear physics, and their asymptotic…

概率论 · 数学 2020-07-23 Quan Shi , Alexander R. Watson

We analyze the game of go from the point of view of complex networks. We construct three different directed networks of increasing complexity, defining nodes as local patterns on plaquettes of increasing sizes, and links as actual…

物理与社会 · 物理学 2014-10-27 V. Kandiah , B. Georgeot , O. Giraud

The maintenance of cooperation in the presence of spatial restrictions has been studied extensively. It is well-established that the underlying graph topology can significantly influence the outcome of games on graphs. Maintenance of…

物理与社会 · 物理学 2021-10-27 Saptarshi Sinha , Deep Nath , Soumen Roy

We view random walks as the paths of foraging animals, perhaps searching for food or avoiding predators while forming a mental map of their surroundings. The formation of such maps requires them to memorise the locations they have visited.…

概率论 · 数学 2018-08-24 Michal Gnacik , Abdulrahman Alsolami , James Burridge

The fourfold research proposal regards in particular: critical oriented percolation; random walk limit laws; neural networks with long-range connections; the ant in a labyrinth.

概率论 · 数学 2015-11-06 Achillefs Tzioufas

Fingerprint labyrinthine patterns exhibit a level of structural complexity beyond simple stripe phases, combining local stripe order with a dense network of point-like defects. Unlike symmetry-breaking phases, where coarsening proceeds via…

软凝聚态物质 · 物理学 2026-01-23 Supriyo Ghosh , Vinicius Yu Okubo , Kotaro Shimizu , B. S. Shivaram , Hae Yong Kim , Gia-Wei Chern

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…

物理与社会 · 物理学 2025-01-15 Aleix Nicolás Olivé , Luce Prignano , Dimitri Marinelli , Emanuele Cozzo

We study some random interlaced configurations considering the eigenvalues of the main minors of Hermitian random matrices of the classical complex Lie algebras. We claim that these random configurations are determinantal and give their…

概率论 · 数学 2008-02-29 Manon Defosseux

This paper applies machine learning and the mathematics of chaos to the task of designing indoor rock-climbing routes. Chaotic variation has been used to great advantage on music and dance, but the challenges here are quite different,…

人工智能 · 计算机科学 2014-05-23 Caleb Phillips , Lee Becker , Elizabeth Bradley

We present a method for comparing point forecasts in a region of interest, such as the tails or centre of a variable's range. This method cannot be hedged, in contrast to conditionally selecting events to evaluate and then using a scoring…

应用统计 · 统计学 2022-02-16 Robert J. Taggart

Turing patterns, arising from the interplay between competing species of diffusive particles, has long been an important concept for describing non-equilibrium self-organization in nature, and has been extensively investigated in many…