Pith Number

pith:Y67QXTGR

pith:2026:Y67QXTGRXMNEN7RYN2NYUWNVES

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Distributionally Robust Nash Equilibrium Seeking with Partial Observations and Distributed Communication

Nirabhra Mandal, Sonia Mart\'inez

Stochastic games admit a nonempty set of distributionally robust Nash equilibria close to standard ones, which inertial dynamics can seek when amicable supergradients exist.

arxiv:2605.15534 v1 · 2026-05-15 · math.OC · cs.GT · cs.SY · eess.SY

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Claims

C1strongest claim

We provide conditions under which the game has a non-empty set of distributionally robust Nash equilibria (DRoNE) and then characterize the closeness of the DRoNE set to the Nash equilibria (NE) of the associated stochastic game. We then propose an inertial, supported, better response, ascending supergradient dynamics ISBRAG that seeks the DRoNE's when the distributionally robust game possesses what we term as amicable supergradients.

C2weakest assumption

The distributionally robust game possesses amicable supergradients (abstract, paragraph on ISBRAG proposal); if this technical property fails, the proposed dynamics are not guaranteed to seek the DRoNE set.

C3one line summary

Provides conditions for non-empty DRoNE sets, characterizes their distance to stochastic NE, and proposes inertial better-response dynamics (ISBRAG) plus a distributed version (d-ISBRAG) for seeking them with partial observations.

References

56 extracted · 56 resolved · 0 Pith anchors

[1] T. Basar. Lecture notes on non-cooperative game theory. Game Theory Module of the Graduate Program in Network Mathematics, pages 3–6, 2010 2010

[2] Narahari.Game theory and mechanism design, volume 4 2014

[3] J. R. Marden, G. Arslan, and J. S. Shamma. Cooperative control and potential games.IEEE Transactions on Systems, Man, & Cybernetics. Part B: Cybernetics, 39(6):1393–1407, 2009 2009

[4] M. Zhu and S. Martínez. Distributed coverage games for energy-aware mobile sensor networks.SIAM Journal on Control and Optimization, 51(1):1–27, 2013 2013

[5] Y. Pan and L. Pavel. Games with coupled propagated constraints in optical networks with multi-link topologies. Automatica, 45(4):871–880, 2009 2009

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:03.877348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7bf0bccd1bb1a46fe386e9b8a59b5248805e1542f2c430ca5d998fda468c154

Aliases

arxiv: 2605.15534 · arxiv_version: 2605.15534v1 · doi: 10.48550/arxiv.2605.15534 · pith_short_12: Y67QXTGRXMNE · pith_short_16: Y67QXTGRXMNEN7RY · pith_short_8: Y67QXTGR

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y67QXTGRXMNEN7RYN2NYUWNVES \
  | 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: c7bf0bccd1bb1a46fe386e9b8a59b5248805e1542f2c430ca5d998fda468c154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0850162c47a137651186d259155ed32d7db29c83fe80f917bb624000f42b36d1",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-15T02:11:32Z",
    "title_canon_sha256": "10afd5966851b5d1adb5ead69159df660371e860f851dad946c40e282dd98c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15534",
    "kind": "arxiv",
    "version": 1
  }
}