where the number on the left is the payoff to Player A, and the number on the ri

Question

where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B.

A) (1 point) Does player A have a dominant strategy, and if so what is it?

B) (1 point) Does player B have a dominant strategy and if so what is it?

C) (4 points) For each of the following say True if the strategy combination is a Nash equilibrium, and False if it is not a Nash equilibrium:

i) Player A plays Top and Player B plays Left

ii) Player A plays Bottom and Player B plays Left

iii) Player A plays Top and Player B plays Right

iv) Player A plays Bottom and Player B plays Right

D) (2 points) If each player plays her maximin strategy what will be the outcome of the game? (Give your answer in terms of the strategies each player chooses)

Explanation / Answer

1.

When B plays left, A chooses Top

When B plays right, A chooses Bottom

So, A has no dominant strategy

2.

When A plays Top left, B chooses Right

When A plays Bottom, B chooses Left

So, B has no dominant strategy

3.

Dominant strategy: none or False

4.

Under maximin strategy, Player A has dominant strategy of Top

Player B has dominant strategy of playing Left

So, final outcome in this case: (Top, Left)

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