A potentially pleasant evening will become riven with disputes. The most forthright members of the group will attempt to persuade a majority of the rest that their particular choice is the best. Other people's choices will perforce be denigrated. Whatever choice is decided upon will not be able to please everyone. Perhaps a compromise will be reached that pleases no one. Some will go hungry, and be forced to pay for something they don't touch and pay again somewhere else. The risk will be run that if the one choice is bad, everyone will suffer.
There is a better way. Each person chooses what they want. Some will fare better than others, but if someone makes a really bad choice, one of the others will probably help them out by sharing some of theirs.
This analogy springs to mind whenever I see the state school system being debated. My own view of what makes for a good education is most likely very different from the next person's. In a free market, this wouldn't matter any more than if the person next to me in a restaurant was a vegetarian and I wanted to eat steak. We could agree to differ, and go away friends. I don't have to force him to partake and he doesn't need to convince me that meat is murder.