Abstract. This paper presents new results on the game theoretical analysis of optimal communications strategies over a sensor network model. Our model involves one single Gaussian source observed by many sensors, subject to additive independent Gaussian observation noise. Sensors communicate with the receiver over an additive Gaussian multiple access channel. The aim of the receiver is to reconstruct the underlying source with minimum mean squared error. The scenario of interest here is one where some of the sensors act as adversary (jammer): they aim to maximize distortion. While our recent prior work solved the case where either all or none of the sensors coordinate (use randomized strategies), the focus of this work is the setting where only a subset of the transmitter and/or jammer sensors can coordinate. We show that the solution crucially depends on the ratio of the number of transmitter sensors that can coordinate to the ones that cannot. If this ratio is larger than a fixed th...