Pith Number

pith:665MZ7UY

pith:2026:665MZ7UYSDCXV4VIQM7PKBS7MX

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A Truthful Multiunit Profit-Optimal Mechanism for Synthesizing Social Laws

Chongjun Wang, Jian Huang, Jun Wu

The PO-ASL mechanism synthesizes social laws that maximize expected profit while remaining incentive-compatible and individually rational.

arxiv:2605.16853 v1 · 2026-05-16 · cs.GT

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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

We present the PO-ASL mechanism, which is incentive-compatible, individually rational, and maximizes expected profit.

C2weakest assumption

Any valuation respecting alternating bisimulation can be compactly expressed as a feature set of ATL formulae (the representation lemma invoked to enable the reduction from payment determination to allocation determination).

C3one line summary

Presents the PO-ASL mechanism that synthesizes profit-optimal social laws for strategic agents by compactly representing ATL valuations, reducing payments to allocation, and solving the resulting FP^NP-complete problem with integer linear programming.

References

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[1] T. ˚Agotnes, W. van der Hoek, M. Tennenholtz, and M. Wooldridge. Power in normative systems. InProceedings of AAMAS-09, pages 145–152, 2009 2009

[2] T. ˚Agotnes, W. van der Hoek, and M. Wooldridge. Robust normative systems. InProceedings of AAMAS-08, pages 747–754, 2008 2008

[3] T. ˚Agotnes and M. Wooldridge. Optimal social laws. InProceedings of AAMAS-10, pages 667–674, 2010 2010

[4] Rodriguez-Aguilar, Carles Sierra, and Michael Wooldridge 2007

[5] Normative system games 2007

Formal links

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Receipt and verification

First computed	2026-05-20T00:03:26.314210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7baccfe9890c57af2a8833ef5065f65c8d108338dee09f3f5dbc21faec93a21

Aliases

arxiv: 2605.16853 · arxiv_version: 2605.16853v1 · doi: 10.48550/arxiv.2605.16853 · pith_short_12: 665MZ7UYSDCX · pith_short_16: 665MZ7UYSDCXV4VI · pith_short_8: 665MZ7UY

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/665MZ7UYSDCXV4VIQM7PKBS7MX \
  | 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: f7baccfe9890c57af2a8833ef5065f65c8d108338dee09f3f5dbc21faec93a21

Canonical record JSON

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    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-05-16T07:36:08Z",
    "title_canon_sha256": "b5856def92f83de2f3d7506d5a303b2ca0736193ff2f7adf42c607d0ec09d3b6"
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  "source": {
    "id": "2605.16853",
    "kind": "arxiv",
    "version": 1
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}