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In mathematics a game is a situation where there are multiple people with conflicting interests. Game theory is a field of applied mathematics which is divided into two fields. The first is classical game theory and the second is combinatorial game theory.

In combinatorial game theory, one deals with games such as Chess, checkers, and other two person games. The idea is that every possible move can be predicted and analyzed. Combinatorics is used to do this. A key element in combinatorial game theory is one player moves at a time.

In classical game theory, more than one player can make a move at the same time.

There are often hidden elements, unlike in combinatorial game theory.

Classical game theory is related to economics as well. In addition, there are a lot of psychological games studied

Mathematical game theory was founded by Émile Bore. John von Neumann is a very important mathematician who is credited with finding and proving much of game theory.

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