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Moving on from simple zero-sum games, there are a bunch of directions in which we can go. So far, the games we've looked at are very restrictive. Beyond the zero-sum property, they're built on a set of fundamental properties which ultimately reduce to the idea that no player ever has an information advantage over any other player: the complete payoff matrix is known by all players; no player gets to see the other players strategy before selecting their own; and so on.

Moving on to more interesting games, we can relax those assumptions, and allow information to be hidden. Perhaps each player can see a different part of the payoff matrix. Perhaps they take turns, so that one player gets to see the others strategy before selecting his own. Perhaps the game isn't zero-sum.

Non-zero sum games turn out to be disappointing from a game theory point of view. Given a suitable set of restrictions, you can convert a non-zero-sum game to a zero-sum game with an additional player. In the cases where you can't do that, you're pretty much stuck - the mathematical tools that work well for analyzing zero-sum games often simply don't work once you relax the zero-sum requirement.

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