Answer: c. not advertise and earn $10,000.
Explanation:
According to GAME THEORY, the Dominant Strategy is one that if taken by an individual, results in the optimal move regardless of how the other player reacts.
In this scenario, NOT ADVERTISING is the Dominant Strategy. This is because if NONE of them advertise, they both make $10,000. If ONLY one advertises on TV and the other does not Advertise, the latter makes $5,000 regardless. If ONLY one advertises on Radio and the other does not Advertise, the latter makes $6,000. Thus, not advertising provides the Optimal scenario REGARDLESS of what the other does.
Let's say one decides to advertise on radio for instance. If that happens and the other also advertises, they will both earn $5,000. However, if one advertises on the radio and the other on TV, the former would only make $2,000. This figure is less than any figure from the NOT ADVERTISE strategy. So it is not the Dominant Strategy.
Now if both of them decide to follow their Dominant Strategy, they will both not Advertise and if both of them decide to abstain from advertising, it is stated that they will each make $10,000.
George will therefore make $10,000.