Pith Number

pith:ZP7UZNOE

pith:2026:ZP7UZNOEWYGC3D7DAGUIKICKBU

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Strategic Gaussian Signaling under Linear Sensitivity Mismatch

Hassan Munif, Samson Lasaulce, Vineeth Satheeskumar Varma

In Stackelberg Gaussian signaling with linear sensitivity mismatch, the encoder transmits information only along the negative-eigenvalue directions of the mismatch matrix in the noiseless case.

arxiv:2602.19292 v2 · 2026-02-22 · cs.GT · cs.IT · cs.SY · eess.SY · math.IT

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Claims

C1strongest claim

In the noiseless case, the equilibrium admits a spectral characterization: the encoder transmits information only along eigenspaces associated with the negative eigenvalues of a mismatch matrix. In the noisy regime, we derive analytical thresholds for informative signaling, showing that communication collapses if the sensitivity mismatch or transmission cost exceeds a channel-dependent threshold.

C2weakest assumption

The analysis assumes a linear sensitivity mismatch between encoder and decoder preferences together with jointly Gaussian state and noise; if the mismatch is nonlinear or the distributions are non-Gaussian the derived spectral and threshold characterizations need not hold.

C3one line summary

In Stackelberg Gaussian signaling with linear sensitivity mismatch, equilibria feature transmission only along negative-eigenvalue eigenspaces in noiseless cases and collapse if mismatch or transmission cost exceeds channel-dependent thresholds in noisy cases.

References

17 extracted · 17 resolved · 0 Pith anchors

[1] Akyol, E., Langbort, C., and Ba¸ sar, T. (2015). Privacy constrained information processing. InProc. 54th IEEE Conf. Decis. Control (CDC), 4511–4516 2015

[2] Akyol, E., Langbort, C., and Ba¸ sar, T. (2017). Information-theoretic approach to strategic communica- tion as a hierarchical game.Proc. IEEE, 105, 205–218 2017

[3] Cover, T.M. and Thomas, J.A. (1999).Elements of Information Theory. John Wiley & Sons 1999

[4] Crawford, V.P. and Sobel, J. (1982). Strategic information transmission.Econometrica, 50(6), 1431–1451 1982

[5] Farokhi, F., Teixeira, A.M.H., and Langbort, C. (2017). Estimation with strategic sensors.IEEE Trans. Autom. Control, 62(2), 724–739 2017

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-17T23:39:16.025482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbff4cb5c4b60c2d8fe301a885204a0d051cd6fea069da607d16e87236527497

Aliases

arxiv: 2602.19292 · arxiv_version: 2602.19292v2 · doi: 10.48550/arxiv.2602.19292 · pith_short_12: ZP7UZNOEWYGC · pith_short_16: ZP7UZNOEWYGC3D7D · pith_short_8: ZP7UZNOE

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZP7UZNOEWYGC3D7DAGUIKICKBU \
  | 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: cbff4cb5c4b60c2d8fe301a885204a0d051cd6fea069da607d16e87236527497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d8982678878d66c69045411182216d039d39456a91f42b51f790eb31b58cc7",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.SY",
      "eess.SY",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-02-22T17:59:27Z",
    "title_canon_sha256": "4ceb5d7b812a86f26559e7c4cfb7f3af6533058bf3bc06bb676aa54eca341ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.19292",
    "kind": "arxiv",
    "version": 2
  }
}