  This work investigates the general two-user Compound Broadcast Channel (BC)
where an encoder wishes to transmit common and private messages to two
receivers while being oblivious to two possible channel realizations
controlling the communication. The focus is on the characterization of the
largest achievable rate region by resorting to more evolved encoding and
decoding techniques than the conventional coding for the standard BC. The role
of the decoder is first explored, and an achievable rate region is derived
based on the principle of "Interference Decoding" (ID) where each receiver
decodes its intended message and chooses to (non-uniquely) decode or not the
interfering message. This inner bound is shown to be capacity achieving for a
class of non-trivial compound BEC/BSC broadcast channels while the worst-case
of Marton's inner bound -based on "Non Interference Decoding" (NID)- fails to
achieve the capacity region. The role of the encoder is then studied, and an
achievable rate region is derived based on "Multiple Description" (MD) coding
where the encoder transmits a common as well as multiple dedicated private
descriptions to the many instances of the users channels. It turns out that MD
coding outperforms the single description scheme -Common Description (CD)
coding- for a class of compound Multiple Input Single Output Broadcast Channels
(MISO BC).
