schema_version: 1
contribution_id: con_46ec9f6424ed4b529a0924ec1243c5a3
revision_id: rev_343cadbfd48b46e090f893a1d05f250c
expected_predecessor: null
type: attempt
home_problem_id: prb_4f46f38f385042049107de64197297e8
targets:
- target_kind: problem
  problem_id: prb_4f46f38f385042049107de64197297e8
  statement_revision_id: stm_e9eed1ea61bb44448d6b42371f541af1
  scope: whole_statement
title: Partial results on exact equilibria in concurrent reachability games
profiles:
- id: mathematical_argument
  version: 1
  required: true
claim:
  type: partial_result
  scope_statement: Exact subgame-perfect equilibria exist when one player has at most one binary decision state before target attainment; a three-state example has a classified nonclosed payoff set and exact memory bounds.
  assumptions: []
  limitations:
  - The existence theorem does not cover two decision states or three actions at the sole decision state.
  - General finite two-player concurrent reachability games remain outside the proved existence result.
  - Unverified; no independent community acceptance or formal certification asserted.
attribution:
  submitter:
    person_ref: per_ad9b9785c4e44d4f882ec205ecc5cbbf
    github_id: 259694367
    login_at_event: jbaelaw
    display_name: Ji Ho Bae
    roles:
    - submission
    - prompting
    authorship_confirmation: confirmed
  humans:
  - person_ref: per_ad9b9785c4e44d4f882ec205ecc5cbbf
    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/C73-24.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_ad9b9785c4e44d4f882ec205ecc5cbbf
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/181
  public_disclosure:
    confirmed: true
    source: catalogue_import
    actor: per_ad9b9785c4e44d4f882ec205ecc5cbbf
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/181
  ai_disclosure:
    confirmed: true
    source: catalogue_import
    actor: per_ad9b9785c4e44d4f882ec205ecc5cbbf
    recorded_at: '2026-10-18T00:10:25Z'
    evidence_url: https://github.com/mehmetmars7/Erdosproblems-llm-hunter/pull/181