03-22-2006, 08:07 AM
Pokemon has been one of my interests for years. I am currently training for the JAA tournament in May. One of the reasons why it interests me is the mathematics of the rules. I am working on ways of describing pokemon mathematically; using set theory and game theory. I've still made little progress, but so far I've found that pokemon can be best described as a combinatorial game with some classic elements.
A combinatorial game is a game with no chance elements, no hidden information, and players take turns. A classical game has chance elements, hidden information, and players move at the same time. Given that pokemon relays more on stragity, I think it's more of a combinatorial game (even if there are minor chance elements (there not a big deal without DT), and players might not know there opponants moves).
Also, pokemon can be described as two sets (stats, and moves), but I am still studying set theory.
I don't know precisely what my team will look like, but I have ideas.
A combinatorial game is a game with no chance elements, no hidden information, and players take turns. A classical game has chance elements, hidden information, and players move at the same time. Given that pokemon relays more on stragity, I think it's more of a combinatorial game (even if there are minor chance elements (there not a big deal without DT), and players might not know there opponants moves).
Also, pokemon can be described as two sets (stats, and moves), but I am still studying set theory.
I don't know precisely what my team will look like, but I have ideas.