Mathematics & Computer Science

Playing Colorful Tic-tac-toe

Troy Wiegand, Butler University

Document Type

Poster Presentation

Location

Indianapolis, IN

Start Date

13-4-2018 8:30 AM

End Date

13-4-2018 10:00 AM

Description

This project is an analysis through Zermelo’s Algorithm and other Game Theory techniques of a variant of Tic-tac-toe created by Dr. Jeremiah P. Farrell. The objective was to map, via the game tree, every possible move in Colorful Tic-tac-toe, assuming rational play. Mathematically prove that the first player has a strategy to win always.

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Apr 13th, 8:30 AM Apr 13th, 10:00 AM

Playing Colorful Tic-tac-toe

Indianapolis, IN

This project is an analysis through Zermelo’s Algorithm and other Game Theory techniques of a variant of Tic-tac-toe created by Dr. Jeremiah P. Farrell. The objective was to map, via the game tree, every possible move in Colorful Tic-tac-toe, assuming rational play. Mathematically prove that the first player has a strategy to win always.