Homogeneous group games are supported only by irreducible representations whose interaction depth is bounded by the minority group size, constraining symmetric linear values and recovering the Shapley value uniquely for two groups under standard axioms.
Hern\' a ndez-Lamoneda, R
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Induced Representations in Cooperative Games with Homogeneous Groups of Players
Homogeneous group games are supported only by irreducible representations whose interaction depth is bounded by the minority group size, constraining symmetric linear values and recovering the Shapley value uniquely for two groups under standard axioms.