My intuition says the natural thing would be to assume something about the experts not talking about each other (which probably means being independent, which sounds too strong). I feel like whenever they can talk about each other an example like this will exist. But not sure! Maybe you can have a relative endorsement definition that’s more like “modulo the other information I’m receiving about you from the environment, I treat the additional bits you’re giving me as the best information”.
My intuition says the natural thing would be to assume something about the experts not talking about each other (which probably means being independent, which sounds too strong). I feel like whenever they can talk about each other an example like this will exist. But not sure! Maybe you can have a relative endorsement definition that’s more like “modulo the other information I’m receiving about you from the environment, I treat the additional bits you’re giving me as the best information”.