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a single decision maker seeks to select an optimal decision alternative after considering the possible outcomes of one or more chance events.
two or more decision makers are called players, and they compete as adversaries against each other. Each player selects a strategy independently without knowing in advance the strategy of the other player or players. The combination of the competing strategies provides the value of the game to the players.
Whenever the maximum of the row minimums equals the minimum of the column maximums, the players cannot improve their outcomes by changing strategies.
Optimal solution for mixed strategy
optimal solution for each player is to randomly select among the alternative strategies.
A dominated strategy exists if
another strategy is at least as good regardless of what the opponent does.
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