Toward Representing Social Interaction Principles of Power Conduct in a Game Context Julio Clempner and Jesœs Medel Centro de Investigacin en Computacin (CIC), IPN Apartado Postal 75-476, C.P. 07738 Mexico City, Mexico Alin Crsteanu Centro de Investigacin y de Estudios Avanzados del IPN (Cinvestav) Apartado Postal 14-740, C.P. 07360 Mexico City, Mexico Abstract : - This paper presents a new approach to the Machiavellianism (manipulation) interac- tion social behavior theory, based on game models. Machiavellian players are those who employ Machiavellian tactics, immorality and views in order to achieve their goals. In the game, the tac- tics and the immorality are represented by quasi-concave functions, and the views are represented by a quasi-convex function. Every function establishes by itself a preference relationship. Under the closure of the three ordering functions, a new order in R 3 -space is generated, representing the Machiavellianism preference relationship. The Machiavellian players interaction behavior is analyzed using the deterministic, non-iterated prisoners dilemma game. Key words : - Machiavellianism, game theory, Prisoners dilemma, cooperation 1 Introduction In recent years there has been a growing interest in interaction social model theory, which tries to understand, predict, manipulate and control the behavior of real world entities (people, organiza- tions, government, companies, etc.). However, everyone that goes aboard this kind of interac- tion models must consider the behavior obser- vations of the fteenth-century philosopher and politician, Niccolo Machiavelli ([11], [12], [13]). Machiavellis primary contribution are his painfully honest observations about human na- ture. He highlights the natural laws that gov- ern how e/ective leaders exercise power over the human resources and creates a new moral sys- tem, deeply rooted in Roman virtue (and vice). He develops his proposal against the conceptions of the Judeo-Christian self-contained moral sys- tems. His ethical system works both as a limit of human possibilities and as the source of hu- man virtue. Machiavelli says that human na- ture is aggressive, and only to some extent able to be manipulated. In this sense, Machiavelli observes that under competitive conditions the human being pursues his/her main goals with increasing levels of ruthlessness. It is important to note that Machiavelli showed consideration for moral individuals, and recognized that there exist individuals able to sacrice their own self-interest in order improve the interests of others. However, he did question the regular occurrence of self-sacrice and ideal altruism behavior in the real world. A Machiavellian individual ([4]) is one who employs aggressive, manipulative, exploit- ing and devious moves in order to achieve per- sonal and organizational objectives. Theses moves are undertaken according to perceived feasibility with secondary consideration to the feelings, needs and/or rights of others. Machiavellianism has been used to catego- 1