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.   I II III A 3 2 4 B 0 1 1 C 1 3 0 (a) Explain which of John’s strategies is dominated. The opponent now has the option of a fourth strategy, D, which results in none of John’s strategies being dominated. (b) Suggest possible values for the strategy D.

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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.

  I II III
A 3 2 4
B 0 1 1
C 1 3 0

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

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