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arXiv · 1705.02946

The Query Complexity of Cake Cutting

Simina Brânzei·Noam Nisan
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Abstract

We study the query complexity of cake cutting and give lower and upper bounds for computing approximately envy-free, perfect, and equitable allocations with the minimum number of cuts. The lower bounds are tight for computing connected envy-free allocations among n=3 players and for computing perfect and equitable allocations with minimum number of cuts between n=2 players. We also formalize moving knife procedures and show that a large subclass of this family, which captures all the known moving knife procedures, can be simulated efficiently with arbitrarily small error in the Robertson-Webb query model.

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Simina Brânzei, Noam Nisan. 2018-07-13. The Query Complexity of Cake Cutting. https://arxiv.org/abs/1705.02946

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