game theory
Posts tagged "game theory"
2 posts
Solving Terni Lapilli: A 2000-Year-Old Game
I investigate how it's possible to apply optimisation techniques and group theory to the ancient game of Terni Lapilli. Terni Lapilli is a version of tic-tac-toe, and like tic-tac-toe it's possible to model optimal decision making. I used this analysis to explore various areas of mathematics I hadn't encountered yet, like group theory.
From Naval Warfare to the Grimdark
I adapted a naval combat model to Warhammer 40k and built interactive calculators using iterative expected values, Markov chains, and Monte Carlo simulation. Monte Carlo wins for accuracy, but Markov chains reveal the probability distributions that expected values hide.