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Fair Division

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3 domain-specific abstractions whose origin domain is Fair Division.

  • Efficient envy-free division — A resource allocation that is both Pareto efficient and envy-free, so no feasible change benefits someone without harming another and no agent prefers another’s bundle to their own.
  • Fractional Pareto efficiency — A discrete allocation is fractionally Pareto-efficient when no feasible allocation, including fractional ones, can make every agent at least as well off and one strictly better off.
  • Radon–Nikodym set — The convex range of a vector measure formed from several agents' nonatomic valuations of measurable cake pieces, representing all simultaneously attainable value vectors.