John enjoys playing two-player zero-sum games. The matrix below shows the losses to John in a particular
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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 ofJohn’s strategies being dominated.
(b) Suggest possible values for the strategy D.
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