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Full-Text Articles in Probability
Qwixx Strategies Using Simulation And Mcmc Methods, Joshua W. Blank
Qwixx Strategies Using Simulation And Mcmc Methods, Joshua W. Blank
Master's Theses
This study explores optimal strategies for maximizing scores and winning in the popular dice game Qwixx, analyzing both single and multiplayer gameplay scenarios. Through extensive simulations, various strategies were tested and compared, including a scorebased approach that uses a formula tuned by MCMC random walks, and race-to-lock approaches which use absorbing Markov chain qualities of individual score sheet rows to find ways to lock rows as quickly as possible. Results indicate that employing a scorebased strategy, considering gap, count, position, skip, and likelihood scores, significantly improves performance in single player games, while move restrictions based on specific dice roll sums …
Comparing North American Professional Sports League Season Formats Using Monte Carlo Simulation, Lathan Gregg
Comparing North American Professional Sports League Season Formats Using Monte Carlo Simulation, Lathan Gregg
Industrial Engineering Undergraduate Honors Theses
Each NFL, NBA, and MLB season consists of a regular season, in which teams play a set number of scheduled games and a playoff, in which qualifying teams compete for a championship. At the conclusion of each season, teams are ranked based on their performance throughout the season. This study aims to investigate the ability of each league's season format to accurately rank teams using Monte Carlo simulation. Matches between two teams are simulated by using the team’s assigned strength ranks to calculate a winning probability for each team. The winning probabilities are simulated with different skill values, dictating how …