Thou shalt covet the average of thy neighbors' cakes

نویسندگان

چکیده

We prove an Ω(n2) lower bound on the query complexity of local proportionality in Robertson-Webb cake-cutting model. Local requires that each agent prefer their allocation to average neighbors' allocations some undirected social network. It is a weaker fairness notion than envy-freeness, which also has Ω(n2), and generally incomparable proportionality, Θ(nlog⁡n). This result separates from ordinary confirming intuition finding locally proportional more difficult computational problem.

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ژورنال

عنوان ژورنال: Information Processing Letters

سال: 2023

ISSN: ['1872-6119', '0020-0190']

DOI: https://doi.org/10.1016/j.ipl.2022.106341