Your firm must decide whether or not to introduce a new product. If you introduce the
new product, your rival will have to decide whether or not to clone the new product. If
you don’t introduce the new product, you and your rival will earn $1 million each. If
you introduce the new product and your rival clones it, you will lose $5 million and
your rival will earn $20 million (you have spent a lot on research and development,
and your rival doesn’t have to make this investment to compete with its clone). If you
introduce the new product and your rival does not clone, you will make $100 million
and your rival will make $0.
a. Set up the extensive form (the decision tree and the outcomes) of this game.
b. Should you introduce the new product?
c. How would your answer change if your rival has “promised” not to clone your
product?
d. What would you do if patent law prevented your rival from cloning your product?