opencompletion.com/research/activity42-game-theory-201.yaml

default_max_attempts_per_step: 3
classifier_model: "MODEL_1"
feedback_model: "MODEL_1"
sections:
  - section_id: introduction
    title: Welcome to Game Theory 201
    steps:
      - step_id: welcome
        title: Beyond Pure Strategies
        content_blocks:
          - "# Game Theory 201: Mixed Strategies & Repeated Games 🎲🔄"
          - "**Building on Game Theory 101!**"
          - ""
          - "**You'll learn:**"
          - "✓ Mixed strategies (randomization)"
          - "✓ When and why to randomize"
          - "✓ Repeated games (shadow of the future)"
          - "✓ How cooperation emerges"
          - "✓ Tit-for-Tat and winning strategies"
        question: Ready to explore more advanced strategic concepts?
        tokens_for_ai: Accept positive as 'ready', language as 'set_language', else 'off_topic'
        buckets: [ready, set_language, off_topic]
        transitions:
          ready:
            next_section_and_step: mixed_strategies:step_1
          set_language:
            metadata_add: {language: "the-users-response"}
            counts_as_attempt: false
            next_section_and_step: introduction:welcome
          off_topic:
            counts_as_attempt: false
            next_section_and_step: introduction:welcome
  
  - section_id: mixed_strategies
    title: Mixed Strategies  
    steps:
      - step_id: step_1
        title: Randomization as Strategy
        content_blocks:
          - "## Mixed Strategies: The Power of Unpredictability 🎲"
          - ""
          - "**Pure vs Mixed Strategies:**"
          - "- Pure: Always play the same action"
          - "- Mixed: Randomize between actions with specific probabilities"
          - ""
          - "**Rock-Paper-Scissors:**"
          - "No pure strategy works - opponent can exploit patterns!"
          - "Solution: Randomize equally (1/3, 1/3, 1/3)"
          - ""
          - "**Penalty Kicks in Soccer:**"
          - "- Kicker: Left or Right?"
          - "- Goalie: Dive Left or Right?"
          - "- Must be unpredictable!"
          - "- Data shows pros randomize ~50/50"
          - ""
          - "**When to use mixed strategies:**"
          - "- No dominant pure strategy"
          - "- Opponent can exploit predictability"
          - "- Matching Pennies, Hide and Seek, Security games"
        question: In Rock-Paper-Scissors, why can't you always play Rock? What happens if you're predictable?
        tokens_for_ai: |
          Should recognize: predictability allows exploitation.
          If always Rock, opponent plays Paper and wins.
          Categorize: understands_exploitation, recognizes_problem, vague, set_language, off_topic
        buckets: [understands_exploitation, recognizes_problem, vague, set_language, off_topic]
        transitions:
          understands_exploitation:
            ai_feedback: {tokens_for_ai: "Perfect! Predictability = exploitation. Opponent plays Paper, you lose. Randomization prevents exploitation!"}
            metadata_add: {score: "n+2"}
            next_section_and_step: repeated_games:step_1
          recognizes_problem:
            ai_feedback: {tokens_for_ai: "Right! If you always play Rock, smart opponent plays Paper every time. Randomization is the solution!"}
            metadata_add: {score: "n+1"}
            next_section_and_step: repeated_games:step_1
          vague:
            ai_feedback: {tokens_for_ai: "If you always play Rock, opponent learns and always plays Paper. You lose every time! Must randomize."}
            next_section_and_step: repeated_games:step_1
          set_language:
            metadata_add: {language: "the-users-response"}
            counts_as_attempt: false
            next_section_and_step: mixed_strategies:step_1
          off_topic:
            next_section_and_step: mixed_strategies:step_1
  
  - section_id: repeated_games
    title: Repeated Games
    steps:
      - step_id: step_1
        title: The Shadow of the Future
        content_blocks:
          - "## Repeated Games: When Tomorrow Matters 🔄"
          - ""
          - "**One-shot vs Repeated:**"
          - "- One-shot PD: Defect dominates"
          - "- Repeated PD: Cooperation can emerge!"
          - ""
          - "**Why repetition changes everything:**"
          - "- Reputation matters"
          - "- Retaliation is possible"
          - "- Future gains can outweigh immediate temptation"
          - ""
          - "**Tit-for-Tat Strategy:**"
          - "1. Start with cooperation"
          - "2. Then copy opponent's previous move"
          - "- Nice (never defects first)"
          - "- Retaliatory (punishes defection)"
          - "- Forgiving (returns to cooperation)"
          - "- Clear (easy to understand)"
          - ""
          - "**Axelrod's Tournament:**"
          - "Tit-for-Tat won! Simplest, most effective."
          - "Beat complex strategies through cooperation + accountability"
        question: Why can cooperation emerge in repeated Prisoner's Dilemma but not in one-shot games?
        tokens_for_ai: |
          Key insight: future interactions create incentive to cooperate.
          Fear of retaliation, value of reputation, shadow of future.
          Categorize: excellent_understanding, identifies_repetition, partial, set_language, off_topic
        buckets: [excellent_understanding, identifies_repetition, partial, set_language, off_topic]
        transitions:
          excellent_understanding:
            ai_feedback: {tokens_for_ai: "Brilliant! Future interactions change incentives. Retaliation possible, reputation matters. Short-term gain < long-term cooperation!"}
            metadata_add: {score: "n+2", activity_completed: "true"}
          identifies_repetition:
            ai_feedback: {tokens_for_ai: "Exactly! Repeated games allow punishment and reward. Cooperation becomes rational when future matters!"}
            metadata_add: {score: "n+1", activity_completed: "true"}
          partial:
            ai_feedback: {tokens_for_ai: "Right direction! Key: future interactions create accountability. Can punish defectors, reward cooperators. Changes incentives!"}
            metadata_add: {activity_completed: "true"}
          set_language:
            metadata_add: {language: "the-users-response"}
            counts_as_attempt: false
            next_section_and_step: repeated_games:step_1
          off_topic:
            metadata_add: {activity_completed: "true"}