Fairness and efficiency in cake-cutting with single-peaked preferences

Bhavook Bhardwaj, Rajnish Kumar, Josue Ortega*

*Corresponding author for this work

Research output: Contribution to journalArticle


We study the cake-cutting problem where agents have single-peaked preferences over the cake. We show that a recently proposed mechanism by Wang and Wu (2019) to obtain envy-free allocations can yield large welfare losses. Using a simplifying assumption, we characterize all Pareto optimal allocations, which have a simple structure: are peak-preserving and non-wasteful. Finally, we provide simple alternative mechanisms that Pareto dominate that of Wang–Wu and achieve envy-freeness or Pareto optimality.
Original languageEnglish
JournalEconomics Letters
Publication statusPublished - 06 Mar 2020


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