Chapter 5.5, Problem 42E

Game Theory: Marketing Your company’s new portable phone/music player/browser/bottle washer, the Run-Man, will compete against the established market leader, the iNod, in a saturated market. (Thus, for each device you sell, one fewer iNod is sold.) You are planning to launch the RunMan with a traveling road show, concentrating on two cities: New York and Boston. The makers of the iNod will do the same to try to maintain their sales. If, on a given day, you both go to New York, you will lose 1,000 units in sales to the iNod. If you both go to Boston, you will lose 750 units in sales. On the other hand, if you go to New York and your competitor to Boston, you will gain 1,500 units in sales from them. If you go to Boston and they to New York, you will gain 500 units in sales. What percentage of time should you spend in New York and what percentage in Boston, and how do you expect your sales to be affected?