Two players engaged in the Prisoner's Dilemma have to choose between cooperation and defection, the pay-off of the players is determined by a weight w=(T,R,P,S). For deterministic strategies p"1,...,p"n we consider a societyS=S(u"i:p"i|i=1,...,n) formed by u=@?"i"="1^nu"i individuals playing at random the IPD with weight w. We introduce the concept of a w-successful society as one where all individuals have eventually a non-negative pay-off. We discuss success of individuals and societies by means of quadratic forms associated to the pay-off matrix of the given set of strategies.
['J.A. de la Peña', 'Nelia Tello']
The iterated Prisoner's Dilemma in societies of deterministic players