Consider the following experiment involving two people, the Proposer and the Responder. The experimenter gives the Proposer some money, and asks him to decide, how much of it he should give to the Responder. If the Responder accepts the proposal, he gets what the Proposer decided to give him, and the Proposer is left with the rest. If the Responder rejects the proposal, the Proposer returns the money to the experimenter, and they both get nothing. Game theory tells us that the Responder should always accept, since he is getting free money, even if it is much less than the free money the Proposer is getting, and the Proposer should give as little as possible to the Responder, since he is going to accept no matter what. However, this is not what actually happens. Proposers in Pittsburgh give an average of 45% of the money to the responders, who reject 22% of all offers. Among Peruvian Indians who practice slash-and-burn agriculture, proposers give an average of 26%, and responders reject 5% of all offers. Among Indonesian whale hunters, the numbers are 58% and 20%. One study found that among American college students, economics majors offer 7% less and demand 7% more than other majors, but other studies had different results. Women tend to offer more to good-looking men than to ugly men. Third graders offer 30% on average, and fifth graders 50%. I wonder whether this experiment can distinguish between Democrats and Republicans.
There are more experiments like this described in this book, and in each people do not behave at all like game theory says they should.