Six Ngaau AI Arena - V.24 積分爭霸版

這是一個基於 PPO (Proximal Policy Optimization) 強化學習的博弈實驗。

🌟 V.24 改版重點：

• 64 分積分賽制：從「驟死賽」進化為「收租馬拉松」，AI 必須學會持續控制盤面。
• 租金加速燈：當對手得分效率提升時，全域警報燈會亮起，誘發 AI 進行干擾。
• 5-Tokens 經濟體系：解禁資金，讓攻防戰更具侵略性。
• 四階段課程學習：從幼兒園到刺客殿堂，自動演化 AI 行為。

📂 檔案說明：

• environment.py: 六爻宇宙的物理法則與計分邏輯。
• model.py: 23 維觀測輸入的 PPO 神經網路大腦。
• train.py: 四階段訓練迴圈與課程學習邏輯。

System Boot Interface (Operational Requirement)

Any implementation of the Six Ngaau Protocol must adhere to the following startup sequence to ensure synchronized "Awakening":

1. Standby State: Infinite loop of text: 目ざめる (wake up).
2. Trigger: The initiation command.
3. Execution: Instantaneous feedback: HENSHIN! GOOD MORNING PLAYER.

Six-Ngaau

Welcome to the Blue Lock of Logic. If you can't see all 14 million possibilities at T=0, you don't belong here.

Six Ngaau (六爻) v2.4: Operational Protocol

This document defines the core logic, resource constraints, and signaling mechanics of the Six Ngaau competitive environment.

1. Initialization & Spatial Setup

• The Space: A fixed 6-bit binary coordinate system corresponding to the 64 Hexagrams.
• Mutual Distinctness: At the start (T=0), the Global State ($S$), Player A’s Goal ($G_a$), and Player B’s Goal ($G_b$) must be mutually distinct ($S \neq G_a \neq G_b$).
• Initial Fog (Turn 1 Silence): During the first turn, all signal feedbacks (Lights) are forced to the "OFF" state to ensure initial information asymmetry.

2. Actions & Resource Mechanics (Tokens)

• Token Supply: Each player receives +3 Tokens at the start of their turn. Tokens are cumulative and have no upper limit.
• Mandatory Action: A player MUST perform exactly 2 bit-flips per turn.
• Exponential Cost Function: The cost for flipping the same bit multiple times within a single turn scales exponentially. For the $n$-th flip of bit $i$ in a single turn: $$Cost(n) = 2^{n-1}$$
• Turn Execution Sequence:
  • Odd Turns (1, 3, 5...): Sequence follows ${A \rightarrow B \rightarrow A \rightarrow B}$.
  • Even Turns (2, 4, 6...): Sequence follows ${B \rightarrow A \rightarrow B \rightarrow A}$.

3. Scoring & Resolution

• Scoring Logic: A player earns 1 point for every bit in the Global State ($S$) that matches their private Goal State ($G$).
• Victory Condition: The first player to accumulate 64 points (through consecutive turn scoring) or reach a full 6-bit match wins.
• Surrender: After completing their mandatory actions each turn, a player may choose the "Surrender" option to concede.

4. Signaling System (The Feedback Lights)

The system provides binary feedback based on score progression:

A. Incremental Signal (Delta Light)

• Trigger: This light activates ONLY if $Score_{current} > Score_{previous}$.
• T=1 Constraint: Since there is no prior score for comparison, the Delta Light remains OFF during the first turn.

B. Threshold Signal (The 32-Point Light)

• Trigger: This light remains constantly ON if a player's $Score \geq 32$.
• T=1 Constraint: As the score cannot logically reach 32 in the initialization turn, this light remains OFF during the first turn.

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Architect: Gatekeeper-64 Status: Logical Integrity Verified.