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Two main procedures characterize the way in which social actors evaluate thequalities of the options in decision-making processes: they either seek toevaluate their intrinsic qualities (individual learners) or they rely on theopinion of the others (social learners). For the latter, social experimentshave suggested that the mathematical form of the probability of adopting anoption, called the conformity function, is symmetric in the adoption rate.However, the literature on decision making includes models where sociallearners employ either symmetric and non-symmetric conformity functions. Here,we generalize previous models and show analytically that when symmetricconformity functions are considered, the form of the probability distributionof the individual strategies (behaving as a social or an individual learner)does not matter: only the expected value of this distribution influences thedetermination of the steady state. Moreover, we show that a dynamics thatconsiders strategies as idiosyncratic properties of the agents and another thatallows them to change in time lead to the same result in the case of symmetricconformity functions, while the results differ in the case of non-symmetricones. This fact can inspire experiments that could shed light on the debateabout this point.

Symmetric conformity functions make decision-making processes independent of the distribution of learning strategies