Pith Number

pith:2H4OUNNI

pith:2026:2H4OUNNIJS2CT7XUDRWGBN4B7V

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Consistency, unanimity, and the Borda rule in social ranking

Rachel Ruell\'e, Stefano Moretti, Takahiro Suzuki

A specific Borda-type social ranking solution is characterized by weak consistency, closeness to unanimity on linear symmetric domains, neutrality, and independence of perfunctory participation.

arxiv:2605.18228 v1 · 2026-05-18 · econ.TH

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\pithnumber{2H4OUNNIJS2CT7XUDRWGBN4B7V}

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Among several possible definitions of the Borda rule as an SRS, we characterize one of such solutions by (a weak version of) consistency, closeness to unanimity (under the linear and symmetric domain), neutrality, and independence of perfunctory participation.

C2weakest assumption

The paper relies on restricting the closeness-to-unanimity property to the linear and symmetric domain; if this domain restriction is dropped or if a different notion of closeness to unanimity is used, the characterization of the specific Borda-type SRS may no longer hold.

C3one line summary

The authors characterize a new Borda-type social ranking solution (SRS) that satisfies weak consistency, closeness to unanimity under linear symmetric domains, neutrality, and independence of perfunctory participation.

References

298 extracted · 298 resolved · 3 Pith anchors

[1] and Gimel'farb, Georgy and Wilson, Mark C

[2] Merlin, V. and Tataru, M. and Valognes, F. , doi =. J Math Econ , keywords =

[3] Journal of Public Economic Theory , number =

[4] Majority Judgment , pages =

[5] and Fishburn, Peter C

Receipt and verification

First computed	2026-05-20T00:05:51.435439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1f8ea35a84cb429fef41c6c60b781fd6d5d1a8e44a98d7ff3640d209086452a

Aliases

arxiv: 2605.18228 · arxiv_version: 2605.18228v1 · doi: 10.48550/arxiv.2605.18228 · pith_short_12: 2H4OUNNIJS2C · pith_short_16: 2H4OUNNIJS2CT7XU · pith_short_8: 2H4OUNNI

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2H4OUNNIJS2CT7XUDRWGBN4B7V \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d1f8ea35a84cb429fef41c6c60b781fd6d5d1a8e44a98d7ff3640d209086452a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af213ec15821d2c5f1a3086c5163b1049c9c5b2c29b1785d183e3a19575a0d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-05-18T11:19:46Z",
    "title_canon_sha256": "6843e5e91569d1e8d66147f940ce92bb1f8a311e697ef548b7f871687f8b1b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18228",
    "kind": "arxiv",
    "version": 1
  }
}