Power and altruism - An evolutionary game theoretic analysis of acts producing power structure

In this paper, I clarify a process that produces power structure, under whi ch some people choose a cooperative act by altruistic motive and other peop le choose an uncooperative act by selfish motive. By using evolutionary gam e models, I prove the following propositions: 1) When it is assumed that pl ayers can choose their payoff functions under the condition that the probab ility of continuation of the game is low, altruistic players who choose a c ooperative act appear at a certain proportion, and the state is stable; 2) In that case, selfish players exploit altruistic players. Therefore, it is concluded that interactions with no constraints are able to produce power s tructure, and that selfish players exploit altruistic players in such power structure.