The only way to “win” at the pizza game is to play by your own rules (actually, any game). By that, I mean that you gotta decide who you are and build a brand and identity and relationships based on that brand identity.
It is a stronger foundation to be something as oneself than in comparison with someone or something else. Like bodegahwy said, using your resources to compare yourself to a competitor, especially on price of all things, gives a message that is hard to compete on. If you are all about pricing, then it is an effective strategy . . . if not, then doing that comparison thing will confuse the message that bodegahwy mentioned.
Effective marketing appears to be, from all the collected experience here, about getting an effective message together to attract customers and hammering it day in and day out in all sorts of forms and fashions. Stick to that message unless and until it is time to modify the message. Most of us here are committed to marketing our service and product along with any unique selling points (USP). Especially in connection with the big corporate delivery machine chains . . . if you start talking price, you end up reinforcing their marketing campaigns, and they may eventually hop on board and cream you at it. Ask j_r0kk sometime what it’s like to run up against a marketing juggernaut who knows how to drive pricing into the collective consciousness.