An Exponential Envy-Free Cake Cutting Protocol for $n$ Agents

Georgy Sokolov

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arXiv · 2306.03854

An Exponential Envy-Free Cake Cutting Protocol for $n$ Agents

Georgy Sokolov

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Abstract

We consider a classical envy-free cake cutting problem. The first limited protocol was proposed by Aziz and McKenzie in 2016 arXiv:1604.03655. The disadvantage of this protocol is its high complexity. The authors proved that the maximum number of queries required by the protocol is $n^{n^{n^{n^{n^n}}}}$. We made minor changes to the Aziz-Mackenzie protocol, improved estimation of the required number of queries and made an algorithm that uses at most $n^{8n^2(1 + o(1))}$ queries.

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BibTeX RIS

Georgy Sokolov. 2023-06-06. An Exponential Envy-Free Cake Cutting Protocol for $n$ Agents. https://arxiv.org/abs/2306.03854

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