 Sugden (1986) and Vanderschraaf (1998) argue that it is not crucial to the notion of convention that the corresponding equilibrium be a coordination equilibrium. Lewis’ key insight is that a convention is a pattern of mutually beneficial behavior which depends on the agents’ common knowledge that all follow this pattern, and no other. Vanderschraaf gives a more general definition of convention as a strict equilibrium together with common knowledge that all follow this equilibrium and that all would have followed a different equilibrium had their beliefs about each other been different. An example of this more general kind of convention is given below in the discussion of the Figure 3.1 example.