Problem: In a one-shot game, if you advertise and your rival advertises, you will earn $7 million and your rival will earn $2 million in profits. If neither of you advertise, your rival will make $4 million and you will make $2 million. If you advertise and your rival does not, you will make $8 million and your rival will make $3 million. If your rival advertises and you do not, you will make $1 million and your rival will make $3 million.
Here are my questions:
- What is the above game in normal form?
- Is there a dominant strategy? If yes, what is it?
- Does the rival have a dominant strategy? If yes, what is it?
- What is the Nash equilibrium for the one-shot game?