Finite Mathematics : Games and Decisions
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Example Questions
Example Question #102 : Finite Mathematics
Consider the following payoff matrix for a game:
Give the value of the saddle point entry of the matrix, if it exists.
The matrix has no saddle point.
If a payoff matrix has a saddle point, it must be both the minimum element of its row and the maximum element of its column. The minimum element of each row is shown in red:
Of these three entries, only 75 is the maximum of its column. This is the correct choice.
Example Question #1 : Games And Decisions
Consider the following payoff matrix for a game:
Give the value of the saddle point entry of the matrix, if it exists.
The matrix has no saddle point.
If a payoff matrix has a saddle point, it must be both the minimum element of its row and the maximum element of its column. The minmum element of each row is shown in red:
Both saddle point entries are in Column 3, so we select the greater of the two, 
Example Question #2 : Games And Decisions
Consider the following payoff matrix for a game:
Give the value of the saddle point entry of the matrix, if it exists.
The matrix has no saddle point.
If a payoff matrix has a saddle point, it must be both the minimum element of its row and the maximum element of its column. The minimum element of each row is shown in red:
Of the three, only 100 is the maximum element of its column. This is the saddle point entry.
Example Question #1 : Games And Decisions
Consider the following payoff matrix for a game:
Give the value of the saddle point entry of the matrix, if it exists.
The matrix has no saddle point.
If a payoff matrix has a saddle point, it must be both the minimum element of its row and the maximum element of its column. The minimum element of each row is shown in red:
Of the three, only 500 is the maximum of its column, making 500 the saddle point entry.
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