b8bf7261cb
NEW ACTIVITIES: activity40-statistics-101.yaml - Foundational statistics - Central tendency, spread, probability, distributions - Real-world applications and critical thinking activity41-game-theory-101.yaml - Strategic fundamentals - Prisoner's Dilemma, Nash Equilibrium, dominant strategies activity42-game-theory-201.yaml - Advanced concepts - Mixed strategies, repeated games, Tit-for-Tat activity43-game-theory-301.yaml - Cooperative games - Coalition formation, Shapley value, fair division activity44-game-theory-401.yaml - Information asymmetry - Signaling, screening, adverse selection activity45-game-theory-501.yaml - Mechanism design - Auction theory, Vickrey auctions, incentive compatibility All activities: - Validate with zero errors/warnings - Follow expert guide requirements - Include engaging examples - Terminate properly - Support language switching
65 lines
3.2 KiB
YAML
65 lines
3.2 KiB
YAML
default_max_attempts_per_step: 3
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sections:
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- section_id: introduction
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title: Game Theory 301
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steps:
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- step_id: welcome
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title: Cooperative Games
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content_blocks:
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- "# Game Theory 301: Cooperative Games & Coalitions 🤝"
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- "**Beyond zero-sum thinking!**"
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- "✓ Cooperative game theory"
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- "✓ Coalition formation"
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- "✓ Shapley value (fair division)"
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- "✓ Core stability"
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question: Ready to learn about cooperation and coalition building?
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tokens_for_ai: Accept positive as 'ready', else 'off_topic'
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buckets: [ready, set_language, off_topic]
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transitions:
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ready: {next_section_and_step: "coalitions:step_1"}
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set_language: {metadata_add: {language: "the-users-response"}, counts_as_attempt: false, next_section_and_step: "introduction:welcome"}
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off_topic: {counts_as_attempt: false, next_section_and_step: "introduction:welcome"}
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- section_id: coalitions
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title: Coalition Formation
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steps:
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- step_id: step_1
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title: Coalition Building
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content_blocks:
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- "## Coalitions: Strength in Numbers 💪"
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- ""
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- "**Characteristic function form:**"
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- "v(Coalition) = value coalition can guarantee"
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- ""
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- "**Example: Three companies**"
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- "- Alone: A=$10M, B=$15M, C=$20M"
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- "- A+B together: $30M"
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- "- A+C together: $35M"
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- "- B+C together: $40M"
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- "- All three: $60M"
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- ""
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- "**Questions:**"
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- "- Which coalition forms?"
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- "- How to split the gains fairly?"
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- ""
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- "**Shapley Value:**"
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- "Fair division based on marginal contributions"
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- "Each player gets average of their marginal value across all orderings"
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question: If three players create $60M together but would create $0 individually, how should they split the gains to be fair?
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tokens_for_ai: |
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Equal split ($20M each) is one fair answer.
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Shapley value would calculate based on marginal contributions.
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Categorize: says_equal, considers_contributions, unclear, set_language, off_topic
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buckets: [says_equal, considers_contributions, unclear, set_language, off_topic]
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transitions:
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says_equal:
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ai_feedback: {tokens_for_ai: "Equal split is fair! Each contributed equally to coalition. Shapley value would give $20M each too."}
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metadata_add: {score: "n+2", activity_completed: "true"}
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considers_contributions:
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ai_feedback: {tokens_for_ai: "Good thinking about contributions! With symmetric players, equal split is the Shapley value."}
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metadata_add: {score: "n+1", activity_completed: "true"}
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unclear:
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ai_feedback: {tokens_for_ai: "Fair approach: equal split since all contributed equally. Each gets $20M. This is the Shapley value!"}
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metadata_add: {activity_completed: "true"}
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set_language: {metadata_add: {language: "the-users-response"}, counts_as_attempt: false, next_section_and_step: "coalitions:step_1"}
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off_topic: {metadata_add: {activity_completed: "true"}}
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