schema_version: 1
contribution_id: con_1a6a55d282b64873b64b6a99853192aa
revision_id: rev_da0432984dbc4ddd8e3a11f67db863a9
expected_predecessor: null
type: attempt
home_problem_id: prb_6025ac0ad28642c583828333cd1effd6
targets:
- target_kind: problem
  problem_id: prb_6025ac0ad28642c583828333cd1effd6
  statement_revision_id: stm_2c4dda2689f34da4b110740c121bcfa0
  scope: whole_statement
title: A refined constant-regret upper bound, sparse interactions, and exact minimax results for separable games
profiles:
- id: mathematical_argument
  version: 1
  required: true
claim:
  type: partial_result
  scope_statement: Claims C*(N,K) <= 76 sqrt(N)(2+log K), a sparse-interaction bound 76 sqrt(D)(2+log K), exact minimax value 1-1/K for strategically separable games, padding monotonicity and product decomposition; leaves unrestricted asymptotic dimension dependence unresolved.
  assumptions:
  - Deterministic horizon-independent uncoupled exact own-payoff-vector feedback
  - Payoffs in [0,1]; natural logarithms
  - Sparse bound requires a promised maximum interaction degree
  limitations:
  - No N- or K-growing lower bound for the unrestricted class
  - No adaptation to unknown interaction bound
  - No proof reconstruction of the complete MORM paper
  - No priority, human verification, external review or formal verification claimed
  - Submitted research claim; correctness and novelty have not been independently established.
attribution:
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    github_id: 243585043
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    display_name: Anonymous submitter
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    - prompting
    - submission
    authorship_confirmation: confirmed
  humans: []
  organisations: []
  contribution_mode: ai_only
model_uses:
- provider: OpenAI
  declared_name: gpt 6 astra pro
  family: null
  version: unknown
  role: generated_draft
  settings: null
  generation_date: null
  provenance:
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    evidence: []
lineage: []
artifacts:
- role: manuscript
  location: in_repository
  path: files/WS-107790-attempt.tex
  media_type: application/x-tex
rights:
  licence: CC-BY-4.0
  redistribution: permitted
  holders:
  - Anonymous submitter
declarations:
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    confirmed: true
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    actor: per_62dcee5e46be40cf9d9ca22a7a41272a
    recorded_at: '2026-10-18T16:20:10Z'
  public_disclosure:
    confirmed: true
    source: cli_confirmation
    actor: per_62dcee5e46be40cf9d9ca22a7a41272a
    recorded_at: '2026-10-18T16:20:10Z'
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    recorded_at: '2026-10-18T16:20:10Z'