A transfer framework converts continuous cake-cutting and necklace-splitting theorems into EFk-type guarantees for indivisible items on a path, yielding new existence results for connected EF1cg allocations and consensus EFncg when bundle counts are prime powers.
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From Cake-Cutting and Necklace-Splitting to Fair Division of Indivisible Items
A transfer framework converts continuous cake-cutting and necklace-splitting theorems into EFk-type guarantees for indivisible items on a path, yielding new existence results for connected EF1cg allocations and consensus EFncg when bundle counts are prime powers.