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

Zero-Sum Games involving Teams against Teams: Existence of Equilibria, and Comparison and Regularity in Information