Abstract:

We introduce two ways of comparing two information structures, say I and J. First, I is richer than J when for every compact game G, all correlated equilibrium distributions of G induced by J are also induced by I. Second, J is faithfully reproducible from I when all the players can compute from their information in the I "new information" that reproduces what they could have from J. We prove that I is richer than J if and only if J is faithfully reproducible from I.

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