In this note we consider the cooperative linear quadratic control problem. That is, the problem where a number of players, all facing a (different) linear quadratic control problem, decide to cooperate in order to optimize their performance. It is well-known, when the performance criteria are positive definite, how one can determine the set of Pareto efficient equilibria for these games. In this note we generalize this result for indefinite criteria. (C) 2008 Elsevier Ltd. All rights reserved.