Bob
		new product	no new product
Alice	new	600, 700	1000, 500
no new product	400, 1000	800, 1200

Would the above be an example of a 2 player game that IS NOT a prisoner's dilemma game?

would I be correct in that A's dominant strategy is to introduce a new product no matter what B does.

B does not have a dominant strategy and will follow whatever A does. The Nash equilibrium is to introduce new products. Please add or correct what I have done.

The original question was: Devise a 2-player game (depicted on the matrix below) that is aNOTa Prisoner's Dilemma game where players each have 2 strategy decisions (that are different from one another). Name your players and indicate the strategies on the table. Explain the dominant and dominated strategies. Is there a Nash equilibrium? If so what is it? If not, explain why.