Math and TheoryFair division
1 research manuscript in theoretical computer science. Catalogue areas: Fair division.
Results in Fair division
Ordered-instance allocation transfer with exact extra-copy preservation
New theoremOrdered-instance reduction for allocating indivisible goods with extra copies
Any set-valued ordered allocation under nonnegative additive valuations transfers to named goods with every agent's utility weakly higher, the same total number of extra copies, the same per-good cap, and every good allocated.
Manuscript: Ordered-instance allocation transfer with exact extra-copy preservationLean proof: Ordered-instance allocation transfer with exact extra-copy preservationVerification: Ordered-instance allocation transfer with exact extra-copy preservation
Other subjects
Discrete analysis, tilings, probability and entropyOptimizationQuantum informationValuation theoryMatrix theoryMatroid theorySampling algorithms and information theoryGraph theory and graph polynomialsInteger sequences and combinatoricsFinite geometryQuadratic forms and number theoryBoolean functions and decision treesInequalities and real analysisProof complexityStochastic thermodynamics