Question:
Find each playerâ€™s optimal strategy and the value of the two-
person zero-sum game in Table 32.
TABLE 32
246
315
Answer :
The table is given below.
Here the method is given below for the two-person sum-game.
1. Check for a saddle point. If the game has no saddle points the go on step 2.
2. Eliminate any of the row playerâ€™s dominated strategies. Looking at the
reduced matrix, eliminate any of the columns playerâ€™s dominated strategies.
Now eliminate any of the row playerâ€™s dominated strategies. Continue in the
same fashion until no more dominated strategies can be found.
3. If the game matrix is now
, solve the game graphically.

If one pure strategy is dominated by another, the player can ignore the dominated
strategy without losing any advantage. Removing dominated rows and columns
makes the game smaller and easier to analyze
The procedure for eliminating all dominated rows and column is called the
reduction by dominance and is carried out as follows.

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- Spring '17
- John DOe
- Game Theory, optimal strategy