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We study the prediction and classification of Wordle solution words. After cleaning the public results log, we fit an ARIMA model to forecast the daily volume of reported outcomes through March 1, 2023. For each solution word, we compute…

Numerical Analysis · Mathematics 2025-08-13 Haidong Xin , Fang Wu , Zhitong Zhou

In a guessing game, players guess the value of a random real number selected using some probability density function. The winner may be determined in various ways; for example, a winner can be a player whose guess is closest in magnitude to…

Computer Science and Game Theory · Computer Science 2016-07-11 Anthony Mendes , Kent E. Morrison

"Guess Who?" is a popular two player game where players ask "Yes"/"No" questions to search for their opponent's secret identity from a pool of possible candidates. This is modeled as a simple stochastic game. Using this model, the optimal…

Probability · Mathematics 2025-11-24 Mihai Nica

In this paper, we describe adaptation of a simple word guessing game that occupied the hearts and minds of people around the world. There are versions for all three Baltic countries and even several versions of each. We specifically pay…

Computation and Language · Computer Science 2022-10-05 Matīss Rikters , Sanita Reinsone

This paper proposes an optimization algorithm based on how human fight and learn from each duelist. Since this algorithm is based on population, the proposed algorithm starts with an initial set of duelists. The duel is to determine the…

Neural and Evolutionary Computing · Computer Science 2015-12-03 Totok Ruki Biyanto , Henokh Yernias Fibrianto , Gunawan Nugroho , Erny Listijorini , Titik Budiati , Hairul Huda

We introduce a new virtual environment for simulating a card game known as "Big 2". This is a four-player game of imperfect information with a relatively complicated action space (being allowed to play 1,2,3,4 or 5 card combinations from an…

Machine Learning · Computer Science 2018-09-03 Henry Charlesworth

I consider the natural infinitary variations of the games Wordle and Mastermind, as well as their game-theoretic variations Absurdle and Madstermind, considering these games with infinitely long words and infinite color sequences and…

Logic · Mathematics 2023-09-06 Joel David Hamkins

It is well known that in games with imperfect information, such as poker, bluffing with some probability can be a component of the optimal strategy. However, as far as we know, nobody has ever exhibited a Scrabble position in which the…

History and Overview · Mathematics 2025-09-16 Nick Ballard , Timothy Y. Chow

One of the most important ways to experience communication and interact with the systems is by handling the prediction of the most likely words to happen after typing letters or words. It is helpful for people with disabilities due to…

Neural and Evolutionary Computing · Computer Science 2022-01-27 Hozan K. Hamarashid , Soran A. Saeed , Tarik A. Rashid

Although board games and video games have been studied for decades in artificial intelligence research, challenging word games remain relatively unexplored. Word games are not as constrained as games like chess or poker. Instead, word game…

Computation and Language · Computer Science 2021-05-14 Divya Koyyalagunta , Anna Sun , Rachel Lea Draelos , Cynthia Rudin

The game of Hangman is a classical asymmetric two player game in which one player, the setter, chooses a secret word from a language, that the other player, the guesser, tries to discover through single letter matching queries, answered by…

Computational Complexity · Computer Science 2020-05-05 Jérémy Barbay , Bernardo Subercaseaux

We consider a two-player search game on a tree $T$. One vertex (unknown to the players) is randomly selected as the target. The players alternately guess vertices. If a guess $v$ is not the target, then both players are informed in which…

Probability · Mathematics 2022-02-07 Ravi B. Boppana , Joel Brewster Lewis

Humans are spectacular reinforcement learners, constantly learning from and adjusting to experience and feedback. Unfortunately, this doesn't necessarily mean humans are fast learners. When tasks are challenging, learning can become…

Machine Learning · Computer Science 2022-12-16 Mark A. Rucker , Layne T. Watson , Matthew S. Gerber , Laura E. Barnes

Text password has served as the most popular method for user authentication so far, and is not likely to be totally replaced in foreseeable future. Password authentication offers several desirable properties (e.g., low-cost, highly…

Cryptography and Security · Computer Science 2022-12-27 Lam Tran , Thuc Nguyen , Changho Seo , Hyunil Kim , Deokjai Choi

Werewolf is a popular party game throughout the world, and research on its significance has progressed in recent years. The Werewolf game is based on conversation, and in order to win, participants must use all of their cognitive abilities.…

Machine Learning · Computer Science 2022-05-23 Mohiuddeen Khan , Claus Aranha

The problem addressed concerns the determination of the average number of successive attempts of guessing a word of a certain length consisting of letters with given probabilities of occurrence. Both first- and second-order approximations…

Information Theory · Computer Science 2015-06-19 Kerstin Andersson

Consider a card guessing game with complete feedback in which a deck of $n$ cards ordered $1,\dots, n$ is riffle-shuffled once. With the goal to maximize the number of correct guesses, a player guesses cards from the top of the deck one at…

Combinatorics · Mathematics 2022-07-22 Tipaluck Krityakierne , Thotsaporn Aek Thanatipanonda

We developed a system able to automatically solve logical puzzles in natural language. Our solution is composed by a parser and an inference module. The parser translates the text into first order logic (FOL), while the MACE4 model finder…

Computation and Language · Computer Science 2021-10-04 Adrian Groza , Cristian Nitu

We consider a card guessing game with complete feedback. An ordered deck of $n$ cards labeled $1$ up to $n$ is riffle-shuffled exactly one time. Given a value $p\in(0{,}1)\setminus\{\frac12\}$, the riffle shuffle is assumed to be…

Combinatorics · Mathematics 2026-02-13 Markus Kuba

We present tournament results and several powerful strategies for the Iterated Prisoner's Dilemma created using reinforcement learning techniques (evolutionary and particle swarm algorithms). These strategies are trained to perform well…

Computer Science and Game Theory · Computer Science 2018-02-07 Marc Harper , Vincent Knight , Martin Jones , Georgios Koutsovoulos , Nikoleta E. Glynatsi , Owen Campbell