Mathematics of Forgiveness

This study was aimed at determining the integration rule--summation or averaging--underlying the forgiveness schema. The main reason for distinguishing between these structures is that they have very different practical implications regarding the influence of various factors specific to each case on the propensity to forgive. In a summative model, the impact of the different factors and the direction of the effects are constant. For example, the presence of apologies always is a positive element even when these apologies assume a very weak form. By contrast, in an averaging model, the apologies can be a positive or a negative element depending on the current level of propensity to forgive and the form of the apologies. Two experiments were conducted using the functional theory of cognition framework. Experiment 1 applied the missing information test. Experiment 2 applied the credibility of information test. In both experiments, clear evidence favored a summative rule for judging willingness to forgive from circumstantial information such as presence or absence of intent, presence or absence of apologies, and degree of cancellation of consequences.