Cited By
View all- Bertram NLai THsu J(2024)Verifying Cake-Cutting, FasterComputer Aided Verification10.1007/978-3-031-65630-9_6(109-129)Online publication date: 25-Jul-2024
Cutting the Cake: A Language for Fair Division
Article No.: 179, Pages 1779 - 1800
Abstract
The fair division literature in economics considers how to divide resources between multiple agents such that the allocation is envy-free: each agent receives their favorite piece. Researchers have developed a variety of fair division protocols for the most standard setting, where the agents want to split a single item, however, the protocols are highly intricate and the proofs of envy-freeness involve tedious case analysis.
We propose Slice, a domain specific language for fair-division. Programs in our language can be converted to logical formulas encoding envy-freeness and other target properties. Then, the constraints can be dispatched to automated solvers. We prove that our constraint generation procedure is sound and complete. We also report on a prototype implementation of Slice, which we have used to automatically check envy-freeness for several protocols from the fair division literature.
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Published: 06 June 2023
Published in PACMPL Volume 7, Issue PLDI
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View all- Bertram NLai THsu J(2024)Verifying Cake-Cutting, FasterComputer Aided Verification10.1007/978-3-031-65630-9_6(109-129)Online publication date: 25-Jul-2024
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