Test The Principle Of Maximum Entropy In Game Experiments:Two Instances

The principle of maximum entropy proposed by Jaynes as a general reasoning methods, attracting more and more attention, have been widely applied to physics, ecology, and communication science, social economics, and other related disciplines. In this paper, in the lab experiments of social economics games, the maximum entropy principle was tested for the first time. The paper is divided into five parts. The first chapter briefly introduces the game theory. Its history, classification, common model and experimental economics are illustrated respectively. The second chapter illustrates development of the concept of entropy in physics and information theory, noted that the consistency of the meaning in the course of evolution. Then, we explained the meaning of maximum entropy principle, and emphasized that the maximum entropy principle applies not only to statistical physics, but also applies to other disciplines reasoning process, i.e., the maximum entropy principle is a kind of reasoning method and the content of the statistical physics only is the application of its special case. In the third chapter, we tested the maximum entropy principle through the laboratory experiments data of human social economics both on the big game level and small group level respectively, and the data suggest that at least in two person constant sum game on the game level, the experiment and theory are accord with each other very well. In the fourth chapter, we discussed two examples of games which are not constant sum. Finally, in chapter five as the conclusion we summarized the contents above, and give the possible research project in future.