Cournot Information Sharing under Demand Slope Uncertainty

Consider a model where two firms with differentiated products compete in quantities and own the same technology and are symmetrically informed about the random demand. Suppose that the slope of the demand curve facing the firm is unknown, especially which contains own-price effect and cross-effect, then we show that when both firms sufficiently gain posterior probabilities and only have prior beliefs, firms earn higher profit when they share information than not to share information regardless of whether the goods are substitutes or complements.