Incomplete information games, local interaction games and random matching games are all special cases of a general class of interaction games (Morris (1997)). In this paper, we use this equivalence to present a uniﬁed treatment of arguments generating uniqueness in games with strategic complementarities by introducing heterogeneity in these diﬀerent settings. We also report on the relation between local and global heterogeneity, on the role of strategic multipliers and on puriﬁcation in the three types of interaction game.
Morris, Stephen and Shin, Hyun Song, "Heterogeneity and Uniqueness in Interaction Games" (2003). Cowles Foundation Discussion Papers. 1670.