Art experts and intermediaries play a crucial role in art markets. Artworks are goods whose quality is difficult to determine. Therefore, it seems necessary to restrict competition in the market for art experts to a certain extent, but not too much, in order to provide high-quality know-how....

We provide a new interpretation of the potential of the Shapley value as the expected worth of some random partition of the player set. Using this insight, we advocate the potential as an index of power concentration in simple monotonic games.