With non-signaling assistance, a channel with non-causal CSIT has the same capacity as if the receiver also knew the state, and broadcast channels behave as if the other user's message were receiver side information.
Revisiting Common Randomness, No-signaling and Information Structure in Decentralized Control
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abstract
This work revisits the no-signaling condition for decentralized information structures. We produce examples to show that within the no-signaling polytope exist strategies that cannot be achieved by passive common randomness but instead require agents to either share their observations with a mediator or communicate directly with each other. This poses a question mark on whether the no-signaling condition truly captures the decentralized information structure in the strictest sense.
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Virtual Signaling of CSIT via Non-Signaling Assistance
With non-signaling assistance, a channel with non-causal CSIT has the same capacity as if the receiver also knew the state, and broadcast channels behave as if the other user's message were receiver side information.