Make it plentiful

Once someone tried allowing her children to choose their own foods, and after a month she was ready to give up.

It's only been a month. It might take more than that for them to get as much candy as they feel they've missed in five or seven years. You scarcified it and made it valuable. Let them gorge. They'll get over it. If you don't let them have it now, they will continue to crave it, sneak it, and pack it in. Make it plentiful, and that will make it less desireable.

Please read all of this: http://sandradodd.com/t/economics. It's by Pam Sorooshian, and is "Economics of Restricting TV Watching of Children." It will apply to food too.SandraDodd.com/eating/control
photo by Sandra Dodd, at someone else's house