Not exactly....

What I've been doing for almost 8 years now is having each member of our family (there are 4 of us) choose dinner 6 days for "their" week. We either go out or do fast food on Saturday. I started this when my daughter was 8 and my son was 5. They're very good at it now!! I have some nutritional rules but other than that, they're pretty much free to choose what they want. It gives everyone an opportunity to have the foods that they like. Not exactly what you were asking about but it's an idea you might be able to run with.