Re: Commentary on Solution to game #2
To expound on irchans's reply, to calculate optimal strategy you are assuming that your opponent knows the rules of the game, and that your opponent is attempting to maximize his or her expected game. Although this isn't a zero-sum game, it is a competitive game in the sense that one player's payoff is reduced by the other player "winning." Because of this, minimizing your opponent's expected gain is a vital part of computing your own optimal strategy.
Think of it like this: if you and I were playing the game, would strategy would you choose so as to minimize my expected gain no matter what strategy I chose?
heihojin
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