(a) Consider a \(2 \times n\) zero-sum game where the best response to every pure strategy is unique. Suppose that the top row and leftmost column define a pure-strategy

equilibrium of the game. Show that this equilibrium can be found by iterated elimination of strictly dominated strategies.

(b) Does the claim in (a) still hold if some pure strategy has more than one best response (and the game is therefore degenerate)?
(c) Give an example of a \(3 \times 3\) zero-sum game, where the best response to every pure strategy is unique, which has a pure-strategy equilibrium that cannot be found by iterated elimination of strictly dominated strategies.