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Combinatorial Scoring games, with the property `extra pass moves for a player does no harm', are characterized. The characterization involves an order embedding of Conway's Normal-play games. Also, we give a theorem for comparing games with…

组合数学 · 数学 2015-05-11 Urban Larsson , Richard J. Nowakowski , Carlos P. Santos

Game semantics is a rich and successful class of denotational models for programming languages. Most game models feature a rather intuitive setup, yet surprisingly difficult proofs of such basic results as associativity of composition of…

计算机科学中的逻辑 · 计算机科学 2017-11-30 Clovis Eberhart , Tom Hirschowitz

Over the past decades, a great body of theoretical and mathematical work has been devoted to random-matrix descriptions of open quantum systems. In these notes, based on lectures delivered at the Les Houches Summer School "Stochastic…

无序系统与神经网络 · 物理学 2017-01-09 Henning Schomerus

Several authors have implied that the original inspiration for Parrondo's games was a physical system called a ``flashing Brownian ratchet''. The relationship seems to be intuitively clear but, surprisingly, has not yet been established…

统计力学 · 物理学 2012-11-19 Andrew Allison , Derek Abbott

Parrondo's paradox is about a paradoxical game and gambling where two probabilistic losing games can be combined to form a winning game. While the counter intuitive game is interesting in itself, it can be thought of a discrete version of…

物理与社会 · 物理学 2016-02-16 Abhijit Kar Gupta , Sourabh Banerjee

A protocol for considering decoherence in quantum games is presented. Results for two-player, two-strategy quantum games subject to decoherence are derived and some specific examples are given. Decoherence in other types of quantum games is…

量子物理 · 物理学 2009-11-10 Adrian P. Flitney , Derek Abbott

The paper develops a new technique to extract a characteristic subset from a random source that repeatedly samples from a set of elements. Here a characteristic subset is a set that when containing an element contains all elements that have…

离散数学 · 计算机科学 2017-04-28 Pascal Schweitzer

We study families of open chaotic maps that classically share the same asymptotic properties -- forward and backwards trapped sets, repeller dimensions, escape rate -- but differ in their short time behavior. When these maps are quantized…

量子物理 · 物理学 2013-01-31 Leonardo Ermann , Gabriel G. Carlo , Juan M. Pedrosa , Marcos Saraceno

A mated-CRT map is a random planar map obtained as a discretized mating of correlated continuum random trees. Mated-CRT maps provide a coarse-grained approximation of many other natural random planar map models (e.g., uniform triangulations…

概率论 · 数学 2019-05-28 Ewain Gwynne , Jason Miller , Scott Sheffield

I start by reviewing some basic properties of random graphs. I then consider the role of random walks in complex networks and show how they may be used to explain why so many long tailed distributions are found in real data sets. The key…

统计力学 · 物理学 2012-12-11 T. S. Evans

We consider a coalition formation setting where each agent belongs to one of the two types, and agents' preferences over coalitions are determined by the fraction of the agents of their own type in each coalition. This setting differs from…

计算机科学与博弈论 · 计算机科学 2019-03-04 Robert Bredereck , Edith Elkind , Ayumi Igarashi

Natural language has the universal properties of being compositional and grounded in reality. The emergence of linguistic properties is often investigated through simulations of emergent communication in referential games. However, these…

计算与语言 · 计算机科学 2024-07-26 Tom Kouwenhoven , Max Peeperkorn , Bram van Dijk , Tessa Verhoef

Classical mechanics obeys the intuitive logic that a physical event happens at a definite spatial point. Entanglement however, breaks this logic by enabling interactions without a specific location. In this work we study these…

量子物理 · 物理学 2020-12-14 A. J. Paige , Hyukjoon Kwon , Selwyn Simsek , Chris N. Self , Johnnie Gray , M. S. Kim

We analyse the strategy equilibrium of dilemma games considering a payoff matrix affected by small and random perturbations on the off-diagonal. Notably, a recent work [1] reported that, while cooperation is sustained by perturbations…

物理与社会 · 物理学 2020-07-01 Marco A. Amaral , Marco A. Javarone

Random walks have been intensively studied on regular and complex networks, which are used to represent pairwise interactions. Nonetheless, recent works have demonstrated that many real-world processes are better captured by higher-order…

物理与社会 · 物理学 2023-06-19 Pietro Traversa , Guilherme Ferraz de Arruda , Yamir Moreno

The game of SET is a popular card game in which the objective is to form Sets using cards from a special deck. In this paper we study single- and multi-round variations of this game from the computational complexity point of view and…

计算复杂性 · 计算机科学 2013-09-26 Michael Lampis , Valia Mitsou

Sequences whose terms are equal to the number of functions with specified properties are considered. Properties are based on the notion of derangements in a more general sense. Several sequences which generalize the standard notion of…

组合数学 · 数学 2007-05-23 Milan Janjić

An important feature of a dynamic game is its monitoring structure namely, what the players effectively see from the played actions. We consider games with arbitrary monitoring structures. One of the purposes of this paper is to know to…

信息论 · 计算机科学 2012-10-24 Maël Le Treust , Samson Lasaulce

Decoherence phenomenon has been widely studied in different types of quantum walks. In this work we show how to model decoherence inspired by percolation on staggered quantum walks. Two models of unitary noise are described: breaking…

量子物理 · 物理学 2022-07-20 R. A. M. Santos , F. L. Marquezino

Recent findings in multi-agent deep learning systems point towards the emergence of compositional languages. These claims are often made without exact analysis or testing of the language. In this work, we analyze the emergent language…

机器学习 · 计算机科学 2020-01-24 Bence Keresztury , Elia Bruni