From Unequal Chance to a Coin Game Dance: Variants of Penney's Game
Isha Agarwal, Matvey Borodin, Aidan Duncan, Kaylee Ji, Tanya, Khovanova, Shane Lee, Boyan Litchev, Anshul Rastogi, Garima Rastogi, Andrew, Zhao
TL;DR
This paper explores various modifications of Penney's game to create more balanced and fair versions, analyzing their properties and outcomes.
Contribution
It introduces new variants of Penney's game designed to improve fairness and analyzes their strategic and probabilistic characteristics.
Findings
Some variants achieve more equitable winning probabilities.
Certain modifications alter the game's strategic complexity.
The analysis provides insights into game fairness and design.
Abstract
We introduce and analyze several variations of Penney's game aimed to find a more equitable game.
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Taxonomy
TopicsAlgorithms and Data Compression · Data Mining Algorithms and Applications · Advanced Database Systems and Queries