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Now some readers may be thinking, "Woah, woah, woah, wait a second. Jessie would never betray James, and James would never betray Jessie." It’s true, there could be outside influences that this model does not account for. Game Theory only works when the players are driven to optimize their rewards and win. In the real world, as players in tournaments are usually motivated to win, Game Theory is an excellent model for the decision process of competitors.
Let’s say you and a friend are arguing over what movie you should watch tonight, so each of you whip out your DSes and decide to battle to see who picks the flick. You gotta win. Your friend is horrible at picking movies, and you don’t want to sit for two hours watching something boring. The stakes are high.
It's turn one, and you throw out a super beastly Tyranitar with Earthquake, Pursuit, Brick Break, and Dragon Claw. Your friend throws out an Alakazam. You know from experience that this Alakazam has Psychic, Hidden Power (Fire 70), Shadow Ball, and Shock Wave. The other Pokémon on your team are Gyarados and Spiritomb. The other
pokemon on your opponent’s team are Salamence and Weavile.
Setting up a matrix of base powers (STAB, Pursuit’s effect on switching, weaknesses and resistances included) to represent this turn we get: