In this paper, I discuss the problems of ``order in social situations'' using a computer simulation of iterated
N-person prisoners' dilemma game. It has been claimed that, in the case of the
2-person prisoners' dilemma,
repetition of games and
the reciprocal use of the ``tit-for-tat'' strategy promote the possibility of cooperation. However, in cases of
N-person prisoners' dilemma where
N is greater than 2, the logic does not work effectively. The most essential problem is so called ``sanctioning problems''. In this paper, firstly, I discuss the ``sanctioning problems'' which were introduced by Axelrod and Keohane in 1986. Based on the model formalized by Axelrod, I propose a new model, in which I added a mechanism of
players' payoff changes in the Axelrod's model. I call this mechanism
norm-internalization and call our model ``
norm-internalization game''. Second, by using the model, I investigated the relationship between agents' norm-internalization (payoff-alternation) and the possibilities of cooperation. The results of computer simulation indicated that unequal distribution of
cooperating norm and uniform distribution of
sanctioning norm are more effective in establishing cooperation. I discuss the mathematical features and the implications of the results on social science.
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