Galvin’s Setting: Neutral and Anonymous Predictors
The context originally studied by Galvin in the 1960s involved predictors for ω where (roughly speaking) the agents did not know where in line they were standing. This leads naturally to anonymous predictors, which must obey a certain symmetry with respect to agents. We also consider neutral predictors, which must obey a kind of symmetry with respect to colors (in the sense that any permutation of the set of colors must result in agents’ guesses being likewise permuted).
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