Question: 2. Consider the two player game shown below where Player 1 has the strategies a and b and Player 2 has the strategies c and

2. Consider the two player game shown below where
2. Consider the two player game shown below where Player 1 has the strategies a and b and Player 2 has the strategies c and d. The value of a is positive, I E (0, 00). Player 2 Player 1 a 1, x - 2 4,2 b 2, 5 (a) Find all values of a such that player 1 has a strictly dominated strategy. State which strategy is strictly dominated. (b) Find all values of a such that player 2 has a strictly dominated strategy. State which strategy is strictly dominated. (c) For what values for a does neither player have a strictly dominated strategy. (d) Choose a value of a where one of the players has a weakly, but not strictly, dominated strategy. Write the normal form game for this value of a and determine the rational outcome of the game assuming no player plays a weakly dominated strategy. Remark: In parts (a) and (b) the dominated strategy may depend on the value of r. One strategy may be dominated for some values of z, while the other strategy is dominated for other some values of r. Be sure to indicate which strategy is dominated and for which values of

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