Game Theory is applied in many different fields. Now, what all those applications of game theory have in common is the abstract mathematical theory of game theory. Thus, Game Theory, as a subject of its own that formalizes the common ground of all those applications, is a mathematical theory, and I think it belongs to the Math.SE. Having a separate Game Theory SE would be like having a separate Calculus SE (maybe someday that will be necessary, but I don't think the Math.SE is that overcrowded yet.)
Applications of Game Theory to specific subjects, such as economics, should be discussed in the pertinent forums with the Tag 'Game Theory'. That's my humble opinion, anyway.
P.S.: However, I was told that there's no such thing as 'merging' different proposals in Area51. A moderator can confirm or correct me.