This work considers the problem of communication from a single transmitter, over a network with colocated users, through an independent block Rayleigh fading channel. The colocation nature of the users allows cooperation, which increases the overall achievable rate, from the transmitter to the destined user. The transmitter is ignorant of the fading coefficients, while receivers have access to perfect channel state information (CSI). This gives rise to the broadcast approach used by the transmitter. The broadcast approach facilitates reliable transmission rates adapted to the actual channel conditions, designed to maximize average throughput. It also allows in our network setting to improve the cooperation between the colocated users. With the broadcast approach, users can decode something out of the message, with almost any fading realization. The better the channel quality, the more layers that can be decoded.Such an approach is useful when considering average rates, rather than outage vs. rate. The cooperation between the users is performed over an additive white Gaussian channels (AWGN), with a relaying power constraint, and unlimited bandwidth. One type of cooperation studied is the amplify-forward (AF) cooperation. Another is the Wyner-Ziv (WZ) compression and forwarding (CF) technique. And finally, decode and forward (DF) cooperation is investigated. In this paper, we extend these methods using the broadcast approach, for the case of relaxed decoding delay constraint. For this case a separated processing of the layers, which includes multi-session cooperation is shown to be beneficial. Further, closed form expressions for infinitely many AF sessions and recursive expressions for the more complex WZ are given. Numerical results for the various cooperation strategies demonstrate the efficiency of multi-session cooperation. Our results can be extended straightforwardly to a setting of a single transmitter sending common information for two cooperating users.