For generic finite games, the correlated equilibrium polytope is claimed to be affinely isomorphic to the polytope of the subgame on essential strategies, which is either full-dimensional or a singleton, but the proof contains a serious gap.
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On the dimensions of correlated equilibrium polytopes of generic games
For generic finite games, the correlated equilibrium polytope is claimed to be affinely isomorphic to the polytope of the subgame on essential strategies, which is either full-dimensional or a singleton, but the proof contains a serious gap.