I think the restaurant with the iPad menus in Japan isn't doing it yet, but if I had a very forward thinking restauranteur friend I would offer to A/B test to victory. Increase average ticket by 10% and you print cash.
Seems like you have to A/B test over time and not offer different prices simultaneously or else you risk pissing people off.
You could also play around with sales tax where one menu has values of say $7.99 (tax not included) and another has $9 (tax included)