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What and Who

Breaking the 3/4 Barrier for Approximate Maximin Share

Hannaneh Akrami
Max-Planck-Institut für Informatik - D1
AG1 Mittagsseminar (own work)
AG 1  
AG Audience
English

Date, Time and Location

Tuesday, 21 March 2023
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

We study the problem of allocating a set of m indivisible goods among n agents with additive valuations in a fair manner using the popular fairness notion of Maximin share (MMS). Maximin share of agent i (MMS_i) is the maximum value she can guarantee to have assuming that she divides the goods into n bundles and gets the minimum valued bundle. An alpha-MMS allocation is an allocation which gives all agents alpha times their Maximin share. It is known that 1-MMS allocations do not always exist and 3/4-MMS allocations always exist. Yet this factor has not been improved (by an additive constant) since the work of Ghodsi et al. in 2018. We improve the state-of-the-art by showing that (3/4+3/4220)-MMS allocations always exist.

Contact

Roohani Sharma
+49 681 9325 1116
--email hidden

Virtual Meeting Details

Zoom
527 278 8807
passcode not visible
logged in users only

Tags, Category, Keywords and additional notes

If you wish to attend the talk online but do not have the zoom password, contact Roohani Sharma at rsharma@mpi-inf.mpg.de.

Roohani Sharma, 03/20/2023 15:12
Roohani Sharma, 03/04/2023 15:18 -- Created document.