The existence of generalized exchange characterized by unilateral resource
giving has been a puzzle when we assume rational actors, because free ridin
g can occur. This article first identifies pure-generalized exchange in whi
ch each actor gives resources to the recipient(s) of his choice. Then, it p
roposes the fairness-based selective-giving strategy. An actor adopting thi
s strategy selects a recipient whose behaviors satisfy her criterion of fai
rness, provided perfect information is given. The results of evolutionary s
imulation show that pure-generalized exchange can emerge among egoists with
out collective norms, even in societies in which individuals have informati
on only about their immediate neighbors.