I was that kid. I held out on not eating my dinner, so I didn't get anything else that night, or breakfast the next morning. My mother was forced to give me a lunch for school the next day, so I lived on that. After two days she gave in and started feeding me what I wanted. This continued throughout the rest of my childhood. I bet to this day she regrets it.
And yes, to this day I am what my girlfriend calls a food diva. It takes much effort for me to try anything new.
So I guess I'm saying stick to your guns and don't let your kid grow up to be like me.