In a One-Shot Game, If You Advertise and Your Rival

Essay

In a one-shot game, if you advertise and your rival advertises, you will each earn $5 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 $10 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.
a.Write the above game in normal form.
b.Do you have a dominant strategy?
c.Does your rival have a dominant strategy?
d.What is the Nash equilibrium for the one-shot game?
e.How much would you be willing to bribe your rival not to advertise?