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A Value for n-Person Games

Authors: Lloyd S. Shapley

Published: 1953 (Other)

Source: Princeton University Press

Algorithm: Shapley Value

DOI: 10.1515/9781400829156-012

Summary

Defines the Shapley Value, a unique allocation rule for cooperative n-player games derived from four axioms: efficiency, symmetry, the null player property, and additivity. The Shapley value assigns each player a fair share of the total coalition value based on their marginal contributions across all possible orderings. It became the mathematical foundation for SHAP feature attribution in machine learning.

Abstract

Primary

Paper rand.org

Standard

DOI 10.1515/9781400829156-012

Alternate

degruyterbrill.com degruyterbrill.com

Tags

  • Game theory

  • Cooperative games

  • Shapley value

  • Fair allocation

  • Axiomatic game theory