For sufficiently large n, agents with XOS valuations receive an α-APS allocation (hence α-MMS) with α > 1/4.
Sincejis picked after iterationk,B j⊆Sk+1 j,r andB i∩Bj⊆Bi∩Sk+1 j,r =∅
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On MMS, APS and XOS
For sufficiently large n, agents with XOS valuations receive an α-APS allocation (hence α-MMS) with α > 1/4.