On the capacity of some uncoordinated multiple-access channels

We consider uncoordinated multiple-access. Here, a number of transmitter-receiver pairs operate independently over a common channel and regard the transmissions of the remaining users as random noise. It is shown, that for the uncoordinated binary adder channel, the capacity is upper bounded by 1/ln 2 bits/transmission and does not grow logarithmically with the number of users as it does in the coordinated case. An asymptotic lower bound for the capacity is given. Further examples of uncoordinated channels are studied