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A Discrete and Bounded Envy-free Cake Cutting Protocol for Four Agents
August 20, 2015 · Declared Dead · 🏛 Symposium on the Theory of Computing
"No code URL or promise found in abstract"
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Authors
Haris Aziz, Simon Mackenzie
arXiv ID
1508.05143
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.GT
Citations
72
Venue
Symposium on the Theory of Computing
Last Checked
2 months ago
Abstract
We consider the well-studied cake cutting problem in which the goal is to identify a fair allocation based on a minimal number of queries from the agents. The problem has attracted considerable attention within various branches of computer science, mathematics, and economics. Although, the elegant Selfridge-Conway envy-free protocol for three agents has been known since 1960, it has been a major open problem for the last fifty years to obtain a bounded envy-free protocol for more than three agents. We propose a discrete and bounded envy-free protocol for four agents.
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