A coalitional game with a coalitional structure b

Reference no: EM131333250

Let (N; v) be a coalitional game with a coalitional structure B.

Let k and l be two players who are members of different coalitions in B.

Prove that if k and l are symmetric players, i.e., v(S ∪ {k}) = v(S ∪ {l}) for every coalition S that does not contain either of them, then for every imputation x in the core of the game with coalitional structure B, one has xk = xl.

Reference no: EM131333250

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