It is known that if a capacity is convex then the Dempster-Shafer rule for the capacity is equivalent to the maximum likelihood rule for the core of the capacity. This paper shows that the converse is also true that is, a capacity must be convex if these two rules are equivalent.

It is known that if a capacity is convex then the Dempster-Shafer rule for the capacity is equivalent to the maximum likelihood rule for the core of the capacity. This paper shows that the converse is also true that is, a capacity must be convex if these two rules are equivalent.

This note considers Bayesian games with a continuum of players, symmetric quadratic payoff functions, and normally distributed signals. It shows that a recent result on the existence and uniqueness of equilibrium is implied by a classical theorem on teams by Radner (1962, Ann. Math. Stat. 33).