Eliciting Fairness in N-Player Network Games through Degree-Based Role Assignment

Figure 8

Dynamics of fairness on two stars, centered in hub nodes and , characterized by values of proposals and . In Box 1, we present the total fitness of and ( and , respectively), assuming that is high and hubs play as Proposers. In Box 2, we present the total fitness, assuming that is low and hubs play as Responders. In both cases, we assume that proposals are always accepted. Assuming that is a fairer node (), we can conclude that is likely to be imitated for low and is likely to be imitated for high .