7 Avon and Roj play a zero-sum game. The game is represented by the following pay-off matrix for Avon. 7 (c) (i) Find the optimal mixed strategy for Avon.
7 (c) (ii) Find the value of the game for Avon.
7 (d) Roj thinks that his best outcome from the game is to play strategy \(\mathbf { R } _ { \mathbf { 2 } }\) each time. Avon notices that Roj always plays strategy \(\mathbf { R } _ { \mathbf { 2 } }\) and Avon wants to use this knowledge to maximise his expected pay-off from the game. Explain how your answer to part (c)(i) should change and find Avon's maximum expected pay-off from the game.
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