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Let \ (Xᵢ, Yᵢ, ) \₈=₁^ be a memoryless correlated source with finite alphabets, and let us imagine that one person, encoder 1, observes only Xⁿ = X₁, , Xₙ and another person, encoder 2, observes only Yⁿ = Y₁, , Yₙ. The encoders can produce encoding functions fₙ (Xⁿ) and gₙ (Yⁿ) respectively, which are made available to the decoder. We determine the rate region in case the decoder is interested only in knowing Yⁿ = Y₁, , Yₙ (with small error probability). In Section H of the paper we give a characterization of the capacity region for degraded broadcast channels (DBC's), which was conjectured by Bergmans 11 and is somewhat sharper than the one obtained by Gallager 12.
Ahlswede et al. (Sat,) studied this question.