Question

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 55% 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 45% 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

=

Answer 1