  Many emerging problems involve teams of agents taking part in a game. Such
problems require a stochastic analysis with regard to the correlation
structures among the agents belonging to a given team. In the context of
Standard Borel spaces, this paper makes the following contributions for two
teams of finitely many agents taking part in a zero-sum game: (i) An existence
result will be presented for saddle-point equilibria in zero-sum games
involving teams against teams when common randomness is assumed to be available
in each team with an analysis on conditions for compactness of strategic team
measures to be presented. (ii) Blackwell's ordering of information structures
is generalized to $n$-player teams with standard Borel spaces, where correlated
garbling of information structures is introduced as a key attribute; (iii)
building on this result Blackwell's ordering of information structures is
established for team-against-team zero-sum game problems. (iv) Finally,
continuity of the equilibrium value of team-against-team zero-sum game problems
in the space of information structures under total variation is established.
