Tn. Sherratt et G. Roberts, THE EVOLUTION OF GENEROSITY AND CHOOSINESS IN COOPERATIVE EXCHANGES, Journal of theoretical biology, 193(1), 1998, pp. 167-177
In this paper we present a resource-explicit Donor-Receiver model for
reciprocally altruistic interactions that obeys the defining inequalit
ies of the Prisoner's Dilemma. In our model, individuals vary in the q
uantity of resource they invest when cooperating (termed ''generosity'
') and they have the freedom to opt out of interactions with potential
partners on the basis of their past experiences with these players (t
ermed ''choosiness''). Dynamic optimal solutions were found using a ge
netic algorithm in which the decision rules (cooperate or defect), gen
erosity when cooperating, and choosiness exhibited by individuals when
deciding to opt out, were all coded on genes held on two separate chr
omosomes. Through this genetic algorithm, individuals that had alleles
which resulted in greatest success at playing our modified Prisoner's
Dilemma left more offspring. When the benefit of receiving a unit res
ource exceeded the cost of giving, then generous cooperative behaviour
tended to emerge within the population, even when the alleles of all
the individuals in the starting population were set to defect. When th
e probability of individuals re-encountering one another was increased
, individuals not only cooperated more, but they developed greater gen
erosity. However, as the ratio of the benefits received to costs expen
ded increased above 1, individuals in this model remained highly coope
rative but their median generosity decreased significantly. In contras
t to earlier studies using genetic algorithms, the extra potential for
cheating afforded by asymmetrical degrees of generosity meant that ge
nuinely cooperative behaviour did not emerge in the equivalent round-r
obin tournament in which individuals were not able to exercise partner
preference. (C) 1998 Academic Press.