  Learning from a partner who collects higher payoff is a frequently used
working hypothesis in evolutionary game theory. One of the alternative
dynamical rules is when the focal player prefers to follow the strategy choice
of the majority in the local neighborhood, which is often called as
conformity-driven strategy update. In this work we assume that both strategy
learning methods are present and compete for space within the framework of a
coevolutionary model. Our results reveal that the presence of payoff-driven
strategy learning method becomes exclusive for high succer's payoff and/or high
temptation values that represent a snowdrift game dilemma situation. In
general, however, the competition of the mentioned strategy learning methods
could be useful to enlarge the parameter space where only cooperators prevail.
This success of cooperation is based on the enforced coordination of cooperator
players which reveals the benefit of the latter strategy. Interestingly, the
payoff-based and the conformity-based cooperator players can form an effective
alliance against defectors that can also extend the parameter space of full
cooperator solution in the stag-hunt game region. Our work highlights that the
coevolution of strategies and individual features such as learning method can
provide novel type of pattern formation mechanism that cannot be observed in a
static model, hence remains hidden in traditional models.
