Bella Robinson and Steve Carson are running for a seat in the U.S. Senate. If both candidates campaign only in the major cities of the state, then Robinson is expected to get 60% of the votes; if both candidates campaign in only rural areas, then Robinson is expected get 45% of the votes; if Robinson campaigns exclusively in the city and Carson campaigns exclusively in the rural areas, then Robinson is expected to get 30% of the votes; finally, if Robinson campaigns exclusively in the rural areas and Carson campaigns exclusively in the city, then Robinson is expected to get 35% of the votes.
(a) Construct the payoff matrix for the game. (Enter each percentage as a decimal.)
Carson  
City Rural  
Robinson  City Rural 

Is the game strictly determined?
YesNo
(b) Find the optimal strategy for both Robinson (row) and Carson
(column).
P  = 

Q  = 

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