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genpark-shapley-value-cooperative-game-allocator-skill

mcp
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SUMMARY

GenPark AI Agent Skill - Cooperative game theory Shapley value engine computing fair payoff allocations based on marginal coalition contributions.

README.md

GenPark Shapley Value Cooperative Game Allocator Skill

Cooperative game theory Shapley value engine computing fair payoff allocations.

Read more at GenPark and the GenPark MCP Catalog.

graph TD
    A[Agent Subsets S] --> M[Marginal Contribution v S+i - v S]
    M --> W[Combinatorial Weighting |S|! |N|-|S|-1! / |N|!]
    W --> S[Shapley Fair Payoff phi_i]
    S --> E[Satisfies Efficiency, Symmetry, Dummy Player & Additivity]
    style A fill:#e1f5fe
    style M fill:#fff9c4
    style W fill:#ffcdd2
    style S fill:#c8e6c9
    style E fill:#d1c4e9

Features

  • Exact Shapley value calculation across all coalition permutations.
  • Guaranteed satisfaction of axiomatic fairness criteria.
  • Pure Python standard library.

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