// multi-utility computation suite · offline · instant · precise
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math.shapley-value-3player Calculator
Calculates Shapley values for a 3-player cooperative game, distributing the coalition's total value fairly based on each player's marginal contribution. The Shapley value is the unique fair attribution satisfying symmetry, efficiency, and dummy-player axioms — widely used in ML model interpretability.
Inputs
V 1
Reference formula or conversion factor shown for context.
V 2
Reference formula or conversion factor shown for context.
V 3
Reference formula or conversion factor shown for context.
V 12
Reference formula or conversion factor shown for context.
V 13
Reference formula or conversion factor shown for context.
V 23
Reference formula or conversion factor shown for context.
V 123
Reference formula or conversion factor shown for context.
Results
Shapley value φ₁
The computed numeric or monetary value.
Shapley value φ₂
The computed numeric or monetary value.
Shapley value φ₃
The computed numeric or monetary value.
sum check (= grand coalition)
A pass/fail verification against the applicable code, standard, or threshold.
φ = avg marginal contribution across all orderings