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On the structure of Pareto optimal cake partitions

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Publication:1567188
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DOI10.1016/S0304-4068(99)00028-2zbMath1016.91019MaRDI QIDQ1567188

Julius B. Barbanel

Publication date: 5 June 2000

Published in: Journal of Mathematical Economics (Search for Journal in Brave)


zbMATH Keywords

fair division


Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Fundamental topics (basic mathematics, methodology; applicable to economics in general) (91B02)


Related Items (4)

Two-person cake cutting: the optimal number of cuts ⋮ Allocation rules for land division ⋮ On the geometry of cake division ⋮ Bounds for \(\alpha\)-optimal partitioning of a measurable space based on several efficient partitions




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Fair division of a measurable space
  • Two applications of a theorem of Dvoretsky, Wald, and Wolfovits to cake division
  • Super envy-free cake division and independence of measures
  • Partition ratios, Pareto optimal cake division and related notions
  • How to Cut A Cake Fairly




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