schema_version: 1
contribution_id: con_ae4b24b4ced040e7a78a971157b8c418
revision_id: rev_64609607c13f49488f0bd2d11a09bdd6
expected_predecessor: null
type: attempt
home_problem_id: prb_2fc17529c1a34c6aac6e3f1edc22f415
targets:
- target_kind: problem
  problem_id: prb_2fc17529c1a34c6aac6e3f1edc22f415
  statement_revision_id: stm_1264aa64f0a44fa7a6c62277c1512be5
  scope: whole_statement
title: 'C73-27: exact finite-player selection of a nonminimizing potential equilibrium'
profiles:
- id: mathematical_argument
  version: 1
  required: true
claim:
  type: full_disproof
  scope_statement: Exact finite-player Markov-perfect equilibria for fixed smooth three-state potential data have empirical paths converging to an equilibrium that does not minimize the potential action.
  assumptions: []
  limitations:
  - Uses the admissible ambient gradient representatives specified in the manuscript; alternative representative conventions require separate analysis.
  - No independent community or formal verification is recorded here.
  - Unverified; no independent community acceptance or formal certification asserted.
  completion_estimate:
    percent: 100
    justification: A counterexample to the canonical universal finite-player minimizer-selection assertion.
attribution:
  submitter:
    person_ref: per_e1a364b37f4741a2937db63cef3ee6bb
    github_id: 259694367
    login_at_event: jbaelaw
    display_name: Ji Ho Bae
    roles:
    - submission
    - prompting
    authorship_confirmation: confirmed
  humans:
  - person_ref: per_e1a364b37f4741a2937db63cef3ee6bb
    github_id: 259694367
    login_at_event: jbaelaw
    display_name: Ji Ho Bae
    roles:
    - submission
    - prompting
    authorship_confirmation: confirmed
  organisations: []
  contribution_mode: ai_only
model_uses:
- provider: OpenAI
  declared_name: GPT-6 Astra
  family: null
  version: unknown
  role: proof_search
  settings:
    reasoning: max
  generation_date: null
  provenance:
    level: declared
    evidence: []
- provider: Anthropic
  declared_name: Claude Opus 5.5
  family: null
  version: unknown
  role: proof_search
  settings:
    reasoning: max
  generation_date: null
  provenance:
    level: declared
    evidence: []
- provider: OpenAI
  declared_name: GPT-6 Astra Pro
  family: null
  version: unknown
  role: proof_search
  settings:
    reasoning: unknown
  generation_date: null
  provenance:
    level: declared
    evidence: []
lineage: []
artifacts:
- role: manuscript
  location: in_repository
  path: files/C73-27.tex
  media_type: application/x-tex
- role: supplementary
  location: in_repository
  path: files/sources.md
  media_type: text/markdown
rights:
  licence: CC-BY-4.0
  redistribution: permitted
  holders:
  - Ji Ho Bae
declarations:
  rights:
    confirmed: true
    source: catalogue_import
    actor: per_e1a364b37f4741a2937db63cef3ee6bb
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/184
  public_disclosure:
    confirmed: true
    source: catalogue_import
    actor: per_e1a364b37f4741a2937db63cef3ee6bb
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/184
  ai_disclosure:
    confirmed: true
    source: catalogue_import
    actor: per_e1a364b37f4741a2937db63cef3ee6bb
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/184