This article introduces four criteria for characterizing social norms
in both cooperative and noncooperative games. The criteria are hybrids
of von Neumann and Morgenstern's notion of stability and Greenberg's
theory of social situations. When applied to the three-player prisoner
's dilemma, these criteria illustrate that Nash and strong Nash equili
brium behavior do not rule out the possibility of unilateral defection
as a social norm. We conclude with a new type of equilibrium behavior
that induces coalition building and leads to social norms that rule o
ut unilateral defection and allow for cooperation.