Three-agent fair division always admits a balanced EF1^c_g allocation, settling balanced EF1 for monotone valuations and extending to laminar matroid constraints.
and Markakis, Evangelos and Mossel, Elchanan and Saberi, Amin , title =
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Balanced Fair Division for Three Agents under General Valuations and Laminar Constraints
Three-agent fair division always admits a balanced EF1^c_g allocation, settling balanced EF1 for monotone valuations and extending to laminar matroid constraints.