Fair distributions for more participants than allocations

Soberón, Pablo

doi:10.1090/bproc/129

Fair distributions for more participants than allocations
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by Pablo Soberón HTML | PDF

Proc. Amer. Math. Soc. Ser. B 9 (2022), 404-414

Abstract:

We study the existence of fair distributions when we have more guests than pieces to allocate, focusing on envy-free distributions among those who receive a piece. The conditions on the demand from the guests can be weakened from those of classic cake-cutting and rent-splitting results of Stromquist, Woodall, and Su. We extend existing variations of the cake-cutting problem with secretive guests and those that resist the removal of any sufficiently small set of guests.

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