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.

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shoal Update scienceslack.json from shoal-catalog d1cbb60b3b19 5c6f400 · 2周前历史

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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	"review": true,
22	"approval": "first-time"
23	}