Conservative Stable Standards of Behavior and φ-Stable Sets

Within Luo’s (2001, J. Math. Econ. 36, 95–109) framework of a general system, I establish an equivalence theorem for the conservative stable standard of behavior (CSSB for short) developed by J. Greenberg (“The Theory of Social Situation: An Alternative Game-Theoretic Approach,â€\x9D Cambridge University Press, 1990). It is shown that a standard of behavior for a situation is a CSSB if, and only if, its graph is a φ-stable set for the associated general system. Copyright Springer 2006