I've read
Lord Of The Flies by William Golding. It's about a group of kids crashing on an island. They develop a set of rules to live by and over time this goes way south. The book is quite obviously a study of social (and political) life.
I liked it a lot since it does a good job at describing the feeling of helplessness when you see something take a wrong turn and can't help it. You may try to convince others to do what is right, but in the end they may close their eyes and ears, and just do something that is fun or easier instead.
If you want to read another "deserted island" book, I can recommend
Island Of The Blue Dolphins which has a different setup in sofar as the protagonist (a girl) is already accustomed to life in the wilderness. It's also more of an adventure story and thus closer to Robinson Crusoe.