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.