Abstract
Following the problem of the {-k}-reconstruction proposed by M. Pouzet, given a decomposable tournament T on a set V with n >= 9 elements, we describe the tournaments T' on V such that for each subset X with n - 3 elements of V. the subtournaments T'[X] and T[X] are isomorphic. (C) 2012 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.