A bounded and envy-free cake cutting algorithm

Author:

Aziz Haris1,Mackenzie Simon2

Affiliation:

1. UNSW Sydney, Australia

2. CSIRO Data61, Sydney, Australia

Abstract

We consider the well-studied cake cutting problem in which the goal is to find an envy-free allocation of a divisible resource based on queries from agents. The problem has received attention in mathematics, economics, and computer science. It has been a major open problem whether there exists a discrete and bounded envy-free protocol. We report on our algorithm that resolved the open problem.

Publisher

Association for Computing Machinery (ACM)

Subject

General Computer Science

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Envy-Free Cake-Cutting for Four Agents;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

2. Thou shalt covet the average of thy neighbors' cakes;Information Processing Letters;2023-02

3. Cutting the Cake into Crumbs: Verifying Envy-Free Cake-Cutting Protocols Using Bounded Integer Arithmetic;Lecture Notes in Computer Science;2023

4. Crises, Risks and Sacrifices;The Rise of Artificial Intelligence and Big Data in Pandemic Society;2022

5. Playing Divide-and-Choose Given Uncertain Preferences;SSRN Electronic Journal;2022

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