Method for controlling power in a mobile network, said method comprising, for each server station s, where s = 1,..., A, belonging to a group of A server stations, where A ≥ 2, each emitting with a power P s b, where b = 1,..., B, within B sub-bands of frequencies, with B ≥ 1, the following steps: a) reception, from mobile terminals served by said server station s, of measurements of radio parameters performed by these mobile terminals, these measurements comprising, for each of these mobile terminals: • the average gain between the server station s and this mobile terminal, • the average gain between another server station t and this mobile terminal, • the power received by this mobile terminal from the server station s in a sub-band of frequencies b, and • the total power of the interference and noise at this mobile terminal, b) calculation of at least one predetermined value V s, t b, where b ∈ [1,..., B] and t ∈ [1,..., A], representative of the quantity ∂ ρ ̅ s ∂ P t b, where ρ s is the load of the server station s defined over a predetermined period T, said load ρ s depending on the intensities of traffic arriving in the geographical area D s served by the server station s and on the data rates delivered by this server station, by means of said measurements that have been fed back by said mobile terminals, and of the fading function modelling the impact of the gain fluctuations on the data rate for the radio system in question, c) transmission, to at least one other server station t, or a device associated with this server station t, of the respective value V s, t b, and reception, from at least said server station t or from said associated device, of the analogous value V t, s b, d) calculation, by means of at least said value V t, s b, of the derivatives ∂ U ∂ P s b, where U is a predetermined utility function for said network, said utility function U = U ( ρ 1,..., ρ A) being an increasing function of the loads P t of the server stations of said group and the partial derivatives ∂ U ∂ ρ ̅ t of which are known to each of these server stations, and e) updating of the transmission powers P s b so as to reduce the value of said utility function U. a) reception, from mobile terminals served by said server station s, of measurements of radio parameters performed by these mobile terminals, these measurements comprising, for each of these mobile terminals: • the average gain between the server station s and this mobile terminal, • the average gain between another server station t and this mobile terminal, • the power received by this mobile terminal from the server station s in a sub-band of frequencies b, and • the total power of the interference and noise at this mobile terminal, • the average gain between the server station s and this mobile terminal, • the average gain between another server station t and this mobile terminal, • the power received by this mobile terminal from the server station s in a sub-band of frequencies b, and • the total power of the interference and noise at this mobile terminal, b) calculation of at least one predetermined value V s, t b, where b ∈ [1,..., B] and t ∈ [1,..., A], representative of the quantity ∂ ρ ̅ s ∂ P t b, where ρ s is the load of the server station s defined over a predetermined period T, said load ρ s depending on the intensities of traffic arriving in the geographical area D s served by the server station s and on the data rates delivered by this server station, by means of said measurements that have been fed back by said mobile terminals, and of the fading function modelling the impact of the gain fluctuations on the data rate for the radio system in question, c) transmission, to at least one other server station t, or a device associated with this server station t, of the respective value V s, t b, and reception, from at least said server station t or from said associated device, of the analogous value V t, s b, d) calculation, by means of at least said value V t, s b, of the derivatives ∂ U ∂ P s b, where U is a predetermined utility function for said network, said utility function U = U ( ρ 1,..., ρ A) being an increasing function of the loads P t of the server stations of said group and the partial derivatives ∂ U ∂ ρ ̅ t of which are known to each of these server stations, and e) updating of the transmission powers P s b so as to reduce the value of said utility function U.