schema_version: 1
contribution_id: con_ab3b0c845f87450680ff7d3b4a226643
revision_id: rev_68e187e5e8e54ef0b58fb672358f799f
expected_predecessor: null
type: attempt
home_problem_id: prb_bc572aa70a8748a3b489fa9941f9307e
targets:
- target_kind: problem
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  statement_revision_id: stm_b8715b2a84a94be2b4c1fd94f7a9ac6b
  scope: whole_statement
title: Explicit special cases and a quantitative recurrence criterion for plain Optimistic Hedge
profiles:
- id: mathematical_argument
  version: 1
  required: true
claim:
  type: partial_result
  scope_statement: Claims explicit bounds for a weakly dominant pure action and an aggregate-condition class including two-player constant-sum games, a numerical recurrence-certificate implication, a static-payoff lower bound, and a general-game certificate search conditional on decidability of the real exponential field.
  assumptions:
  - N >= 2; 1 <= m_i <= K; payoffs in [0,1]
  - Exact mixed-payoff external regret and original fixed-step optimistic update
  - Conditional general-game procedure assumes decidability of the real exponential field
  limitations:
  - No unconditional general-game dimension-explicit parameter rule
  - No polynomial dependence established
  - No sampled-action, floating-point or last-iterate guarantee
  - No formal verification, novelty or independent human proof audit claimed
  - Submitted research claim; correctness and novelty have not been independently established.
attribution:
  submitter:
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    github_id: 243585043
    login_at_event: null
    display_name: Anonymous submitter
    roles:
    - 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-107791-attempt.tex
  media_type: application/x-tex
rights:
  licence: CC-BY-4.0
  redistribution: permitted
  holders:
  - Anonymous submitter
declarations:
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    source: cli_confirmation
    actor: per_9ab9995e73e040328ed0d0130d67e83a
    recorded_at: '2026-10-18T16:20:10Z'
  public_disclosure:
    confirmed: true
    source: cli_confirmation
    actor: per_9ab9995e73e040328ed0d0130d67e83a
    recorded_at: '2026-10-18T16:20:10Z'
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    confirmed: true
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    actor: per_9ab9995e73e040328ed0d0130d67e83a
    recorded_at: '2026-10-18T16:20:10Z'