Pith Number

pith:4E7ME22C

pith:2026:4E7ME22CVRXKYU37FFKEAO2PWC

not attested not anchored not stored refs pending

On Data-based Nash Equilibria in LQ Nonzero-sum Differential Games

Matthias A. M\"uller, Victor G. Lopez

Data from persistently excited multiagent trajectories yields Nash equilibrium strategies for linear-quadratic nonzero-sum differential games equivalently to model-based methods.

arxiv:2601.11320 v2 · 2026-01-16 · eess.SY · cs.SY

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\pithnumber{4E7ME22CVRXKYU37FFKEAO2PWC}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

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

It is shown that the proposed data-based solutions of these games are equivalent to known model-based procedures.

C2weakest assumption

The collected data must be persistently excited, and in the stochastic case each player must be able to design a suitable state observer from its own noisy output measurements.

C3one line summary

Data-based solutions for Nash equilibria in LQ nonzero-sum differential games are derived and shown equivalent to model-based methods using persistently excited data for both deterministic and stochastic cases.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:16.628972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e13ec26b42ac6eac537f2954403b4fb0a5d04b78dad9e4eb79a1acf69527df50

Aliases

arxiv: 2601.11320 · arxiv_version: 2601.11320v2 · doi: 10.48550/arxiv.2601.11320 · pith_short_12: 4E7ME22CVRXK · pith_short_16: 4E7ME22CVRXKYU37 · pith_short_8: 4E7ME22C

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4E7ME22CVRXKYU37FFKEAO2PWC \
  | 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: e13ec26b42ac6eac537f2954403b4fb0a5d04b78dad9e4eb79a1acf69527df50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31d327fab4e6d162beef40e1945d3006b7bf66cb7a0b5843522b88eea3f65845",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-01-16T14:15:52Z",
    "title_canon_sha256": "a3d38b2c28b4abb98f31316b4fca9d31978a6fa1c997bcdb581f0a2b1d64d072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.11320",
    "kind": "arxiv",
    "version": 2
  }
}