The implications of game theory models of the evolution of strategies of ex
change are explored with respect to the evolution of moral dispositions. I
argue that dispositions to practice tit for tat strategies could have evolv
ed, but the moral behaviours to which they give rise do not fare well on cr
iteria of morality. Inasmuch as the strategy implicit in the Golden Rule is
unconditional, it could not have evolved in environments containing strate
gies that exploit it. However dispositions to invoke conditional principles
such as those that prescribe that people cooperate with those they observe
cooperating and shun those they observe behaving selfishly, could have bee
n selected in some conditions and may have given rise to the evolution of i
ndirect reciprocity. The key to the evolution of morality is discrimination
in favour of cooperators and against cheaters and selfish individualists.
The limitations of game theory in the explanation of human morality are ack
nowledged.