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By the number of moves the game are divided into one-step and multistep. One-step game ends after one move of each player. For example, a matrix game is a one-step, since in this case, each player makes only one turn and then going on the distribution of prizes. Multistage games are divided into positional, stochastic, differential, such as duels, etc. In positional games may be a few players, each of which can sequentially in time to make some moves. Winnings are determined depending on the outcome of the game (the strategies). Such games are using certain methods are reduced to matrix games and can be solved inherent methods. If the game made the moves that lead to the selection of certain positions, and there is a certain probability of return to the previous position, then this game is stochastic.

If a multistage game is allowed to make moves continuously and subordinate behavior of players to certain conditions, described by differential equations, these games are differential. For example, in games like chase each object may move, subject to certain conditions, described by ordinary differential equations. The purpose of one object - to reach a certain area, another goal - to prevent the first to this area. Gain estimated a certain number of (function). Depending on the state of information distinguishes the game with complete information and incomplete information. If each during the game, each player knows what choices were made by the players before, then this is a game with complete information. Examples of such games are checkers and chess. If the game does not know everything about the previous elections, this is a game of incomplete information. Proved that every game with complete information has a solution in the form of a saddle point in pure strategies. For example, for a game of chess, this means that each player has a strategy, following which, the player either wins or the game will bring in a draw. The difficulty lies in finding such a strategy. There are other types of games that are not considered here. There are some other principles of classification of games.