Ben and Sam are competing for the remaining spot on the national swim team.If one of these two swimmers hires a personal trainer,that swimmer will win the spot.If both swimmers hire a personal trainer,they have a 50% chance of winning the place on the team;if neither swimmer hires a personal trainer,they still have a 50% chance of winning the place.The table below shows the payoff matrix facing the swimmers.Whoever makes the team will earn $100,000 next year from product endorsements.
-Refer to the information above.The dominant strategy for Ben is ______,and the dominant strategy for Sam is _______.
A) to hire a trainer;to hire a trainer
B) to not hire a trainer;to not hire a trainer
C) to hire a trainer;to not hire a trainer
D) to not hire a trainer;to hire a trainer
E) unknown;unknown

Question

Ben and Sam are competing for the remaining spot on the national swim team.If one of these two swimmers hires a personal trainer,that swimmer will win the spot.If both swimmers hire a personal trainer,they have a 50% chance of winning the place on the team;if neither swimmer hires a personal trainer,they still have a 50% chance of winning the place.The table below shows the payoff matrix facing the swimmers.Whoever makes the team will earn $100,000 next year from product endorsements. 
-Refer to the information above.The dominant strategy for Ben is ______,and the dominant strategy for Sam is _______.
A) to hire a trainer;to hire a trainer 
B) to not hire a trainer;to not hire a trainer 
C) to hire a trainer;to not hire a trainer 
D) to not hire a trainer;to hire a trainer 
E) unknown;unknown

Quizplus · Accepted Answer

Ben's dominant strategy is to hire a trainer because it gives him a higher payoff regardless of Sam's strategy. Sam's dominant strategy is also to hire a trainer because it gives her a higher payoff regardless of Ben's strategy.

Ben and Sam Are Competing for the Remaining Spot on the National