Question: John enjoys playing two-player zero-sum games. The matrix below shows the losses to John in a particular two-player zero-sum game. His strategies are denoted by

John enjoys playing two-player zero-sum games. The matrix below shows the losses to John in a particular two-player zero-sum game. His strategies are denoted by I, II, and III, whereas the strategies for his opponent are denoted by A, B, and C.

                

 IIIIII
A324
B011
C130

 

(a) Explain which of John’s strategies is dominated. The opponent now has the option of a fourth strategy, D, which results in none ofJohn’s strategies being dominated.
 (b) Suggest possible values for the strategy D.

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