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- Characterizations of power indices based on null player free winning coalitionsPublication . Álvarez-Mozos, M.; Ferreira, Flávio; Alonso-Meijide, J. M.; Pinto, Alberto A.In this paper, we characterize two power indices introduced in [1] using two different modifications of the monotonicity property first stated by [2]. The sets of properties are easily comparable among them and with previous characterizations of other power indices.