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 | +} | |