avoidance leads to two particular results in the analysis of Nash networks: (1) Nash networks are not always connected; (2) Nash … networks do not exist under some parameters. Since disconnectedness is reminiscent of a common feature of real-world network …, the model may explain why real-world networks may exhibit this feature even when there is no heterogeneity among agents …

(increasing) in commitments for same (different) identity. We study conditions under which these choices allow for networks with … multiple identities. We find that whether the choice of identity itself gives any utility or not, there will be Nash networks … featuring multiple identities. Moreover, if the choice of identity directly adds utility, networks with multiple identities will …