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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
The relations between players have a great influence on how a player chooses his strategy in games. By using numerical values denoting the relations between players a novel game model was put forward in this study. A player will choose strategy on the basis of his subjective payoffs, which can be calculated from the new game model. Either of cooperative or non-cooperative games are specific cases of it. A new type of games called hostile game as well as how relations between players reflect one’s attitude to others was studied. A good case in point is prisoners’ dilemma, which is analyzed in terms of the new method.