PRIMES STEP Plays Games
Pratik Alladi, Neel Bhalla, Tanya Khovanova, Nathan Sheffield, Eddie, Song, William Sun, Andrew The, Alan Wang, Naor Wiesel, and Kevin Zhang Kevin, Zhao
TL;DR
This paper explores the creation and analysis of combinatorial impartial games invented by middle school students, focusing on their structure, strategies, and key properties.
Contribution
It introduces new student-invented games on graphs, piles, and grids, along with their winning positions and optimal strategies.
Findings
Identified winning positions for several games
Developed optimal strategies for gameplay
Discovered interesting combinatorial properties
Abstract
A group of students in 7-9 grades are inventing combinatorial impartial games. The games are played on graphs, piles, and grids. We found winning positions, optimal strategies, and other interesting facts about the games.
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