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Quantum computers that process information by harnessing the remarkable power of quantum mechanics are increasingly being put to practical use. In the future, their impact will be felt in numerous fields, including in online casino games.…

Quantum Physics · Physics 2021-11-08 Yushi Mura , Hiroki Wada

In an introductory paper on dollar game played on a graph, Matt Baker wrote the following: ``The total number of borrowing moves required to win the game when playing the 'borrowing binge strategy' is independent of which borrowing moves…

Combinatorics · Mathematics 2023-08-25 Marine Cases-Thomas

We introduce a new family of one-player games, involving the movement of coins from one configuration to another. Moves are restricted so that a coin can be placed only in a position that is adjacent to at least two other coins. The goal of…

Discrete Mathematics · Computer Science 2007-05-23 Erik D. Demaine , Martin L. Demaine , Helena A. Verrill

Qubit Touchdown is a two-player, competitive board game that was developed to introduce students to quantum computing. A quantum computer is a new kind of computer that is based on the laws of quantum physics, and it can solve certain…

Physics Education · Physics 2025-06-17 Kristina Armbruster , Gintaras Duda , Thomas G. Wong

We present a pilot study on crea.blender, a novel co-creative game designed for large-scale, systematic assessment of distinct constructs of human creativity. Co-creative systems are systems in which humans and computers (often with Machine…

We provide an algorithm to find the value and an optimal strategy of the solitaire variant of the Ten Thousand dice game in the framework of Markov Control Processes. Once an optimal critical threshold is found, the set of non-stopping…

Optimization and Control · Mathematics 2014-05-30 Fabián Crocce , Ernesto Mordecki

We propose a class of two person perfect information games based on weighted graphs. One of these games can be described in terms of a round pizza which is cut radially into pieces of varying size. The two players alternately take pieces…

Combinatorics · Mathematics 2015-11-12 Daniel E. Brown , Lawrence G. Brown

The problem of finding the $k$ most critical nodes, referred to as the $top\text{-}k$ problem, is a very important one in several contexts such as information diffusion and preference aggregation in social networks, clustering of data…

Social and Information Networks · Computer Science 2017-02-08 Swapnil Dhamal , Akanksha Meghlan , Y. Narahari

We present an analysis of a coin-tossing problem posed by Daniel Litt which has generated some popular interest. We demonstrate a recursive identity which leads to relatively simple formulas for the excess number of wins for one player over…

Combinatorics · Mathematics 2025-12-09 Bruce Levin

Security questions are one of the techniques used to recover passwords. The main limitation of security questions is that users find strong answers difficult to remember. This leads users to trade-off security for the convenience of an…

Cryptography and Security · Computer Science 2017-09-26 Nicholas Micallef , Nalin Asanka Gamagedara Arachchilage

Click-Through Rate prediction aims to predict the ratio of clicks to impressions of a specific link. This is a challenging task since (1) there are usually categorical features, and the inputs will be extremely high-dimensional if one-hot…

Machine Learning · Computer Science 2021-06-30 Qiuqiang Lin , Chuanhou Gao

We investigate a discrete search game called the Multiple Caching Game where the searcher's aim is to find all of a set of $d$ treasures hidden in $n$ locations. Allowed queries are sets of locations of size $k$, and the searcher wins if in…

Optimization and Control · Mathematics 2025-09-03 Áron Jánosik , Csenge Miklós , Dániel G. Simon , Kristóf Zólomy

We consider a random walk in an i.i.d. random environment on Z that is perturbed by cookies of strength 1. The number of cookies per site is assumed to be i.i.d. Results on the speed of the random walk are obtained. Our main tool is the…

Probability · Mathematics 2015-01-19 Elisabeth Bauernschubert

People are remarkably capable of generating their own goals, beginning with child's play and continuing into adulthood. Despite considerable empirical and computational work on goals and goal-oriented behavior, models are still far from…

Artificial Intelligence · Computer Science 2025-05-20 Guy Davidson , Graham Todd , Julian Togelius , Todd M. Gureckis , Brenden M. Lake

Wordle is a single-player word-based game where the objective is to guess the 5-letter word in a maximum of 6 tries. The game was released to the public in October 2021 and has since gained popularity with people competing against each…

Data Structures and Algorithms · Computer Science 2023-05-25 Aditya Lahiri , Naigam Shah , Shivaank Agarwal , Vignesh Nandakumar

The locker puzzle is a game played by multiple players against a referee. It has been previously shown that the best strategy that exists cannot succeed with probability greater than 1-ln2 \approx 0.31, no matter how many players are…

Quantum Physics · Physics 2012-02-22 David Avis , Anne Broadbent

This paper deals with sliding games, which are a variant of the better known pushpush game. On a given structure (grid, torus...), a robot can move in a specific set of directions, and stops when it hits a block or boundary of the…

Combinatorics · Mathematics 2015-07-03 Paul Dorbec , Eric Duchêne , André Fabbri , Julien Moncel , Aline Parreau , Eric Sopena

Connect Four is a two-player game where each player attempts to be the first to create a sequence of four of their pieces, arranged horizontally, vertically, or diagonally, by dropping pieces into the columns of a grid of width seven and…

Combinatorics · Mathematics 2025-02-18 Robert Steele , Daniel B. Larremore

The Maker-Breaker domination game is a positional game played on a graph by two players called Dominator and Staller. The players alternately select a vertex of the graph that has not yet been chosen. Dominator wins if at some point the…

Combinatorics · Mathematics 2024-06-24 Guillaume Bagan , Eric Duchêne , Valentin Gledel , Tuomo Lehtilä , Aline Parreau

We consider a class of self-interacting random walks in deterministic or random environments, known as excited random walks or cookie walks, on the d-dimensional integer lattice. The main purpose of this paper is two-fold: to give a survey…

Probability · Mathematics 2013-05-15 Elena Kosygina , Martin P. W. Zerner