Pith Number

pith:CWXOXQAF

pith:2026:CWXOXQAFEYQ4B6S3BI43KZDNZH

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Solution Sets for Inverse Infinite-Horizon Linear-Quadratic Descriptor Differential Games

Aaditya Kumar, Puduru Viswanadha Reddy

The set of all cost functions that make an observed feedback strategy profile a Nash equilibrium in infinite-horizon linear-quadratic descriptor differential games is rectangular and convex.

arxiv:2604.27460 v2 · 2026-04-30 · math.OC · cs.SY · eess.SY

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\usepackage{pith}
\pithnumber{CWXOXQAFEYQ4B6S3BI43KZDNZH}

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4 Citations 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

We characterize the solution set, show that it is rectangular and convex, and provide an algorithm to compute an admissible realization.

C2weakest assumption

The observed feedback strategy profile is a feedback Nash equilibrium of the infinite-horizon linear-quadratic descriptor game for some quadratic cost functions.

C3one line summary

The solution set of cost functions rationalizing observed strategies as feedback Nash equilibria in infinite-horizon LQ descriptor games is rectangular and convex.

Receipt and verification

First computed	2026-05-20T00:04:33.134055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15aeebc0052621c0fa5b0a39b5646dc9c80a2dda5f5c24825376b93c324e75f0

Aliases

arxiv: 2604.27460 · arxiv_version: 2604.27460v2 · doi: 10.48550/arxiv.2604.27460 · pith_short_12: CWXOXQAFEYQ4 · pith_short_16: CWXOXQAFEYQ4B6S3 · pith_short_8: CWXOXQAF

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CWXOXQAFEYQ4B6S3BI43KZDNZH \
  | 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: 15aeebc0052621c0fa5b0a39b5646dc9c80a2dda5f5c24825376b93c324e75f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d971fcb19ecacfa9d8588f0387fee98bf77c8fe5bdd659d0b9106d619a21a0",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-04-30T06:00:48Z",
    "title_canon_sha256": "3eb7df0378cff55822516456987661d1e8f7b122333b995773500a8f88dd27a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.27460",
    "kind": "arxiv",
    "version": 2
  }
}