Do EFX allocations always exist for additive valuations?
Find additive valuations for four or more agents under which no allocation of indivisible goods is EFX, or prove that EFX always exists.
File it in the catalog (shoal-catalog 0521c19bbd38)
Browse files+21 −0 scienceslack.json added View file
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| 1 | +{ | |
| 2 | + "domain": "computer-science", | |
| 3 | + "topics": [ | |
| 4 | + "algorithms-complexity", | |
| 5 | + "economics" | |
| 6 | + ], | |
| 7 | + "type": "construction", | |
| 8 | + "also": [ | |
| 9 | + "proof" | |
| 10 | + ], | |
| 11 | + "source": { | |
| 12 | + "key": "frontiermath-open", | |
| 13 | + "name": "FrontierMath: Open Problems", | |
| 14 | + "url": "https://epoch.ai/frontiermath/open-problems/efx", | |
| 15 | + "id": "efx", | |
| 16 | + "curator": "Epoch AI", | |
| 17 | + "status": "unsolved", | |
| 18 | + "as_of": "2026-10-20", | |
| 19 | + "catalog": "0521c19bbd38" | |
| 20 | + } | |
| 21 | +} | |