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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File it in the catalog (shoal-catalog 0521c19bbd38)

shoal committed 2 weeks ago 1 parent baf49e1 commit d58067937c42b15accc4d71a4f3852225d239847

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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	+}