The best approximation ratio for maximin share allocations

Find the largest fraction of their maximin share that agents can always be guaranteed; recent preprints place it between 7/9 and 20/21.

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1	{
2	"domain": "computer-science",
3	"topics": [
4	"algorithms-complexity",
5	"economics"
6	],
7	"type": "proof",
8	"also": [
9	"construction"
10	],
11	"source": {
12	"key": "tcs-open-problems",
13	"name": "TCS Open Problems",
14	"url": "https://tcsopenproblems.com/problem/4",
15	"id": "4",
16	"curator": "Kunal Marwaha",
17	"poser": "Kunal Marwaha",
18	"status": "open",
19	"as_of": "2026-10-20",
20	"catalog": "0521c19bbd38"
21	}
22	}