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In a recent breakthrough paper [M. Braverman, A. Garg, D. Pankratov, and O.Weinstein, From information to exact communication, STOC'13] Braverman et al.developed a local characterization for the zero-error information complexity inthe two party model, and used it to compute the exact internal and externalinformation complexity of the 2-bit AND function, which was then applied todetermine the exact asymptotic of randomized communication complexity of theset disjointness problem.  In this article, we extend their results on AND function to the multi-partynumber-in-hand model by proving that the generalization of their protocol hasoptimal internal and external information cost for certain distributions. Ourproof has new components, and in particular it fixes some minor gaps in theproof of Braverman et al.

Information complexity of the AND function in the two-Party, and multiparty settings