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
73 lines
3.6 KiB
YAML
73 lines
3.6 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 501
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steps:
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- step_id: welcome
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title: Design the Game
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content_blocks:
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- "# Game Theory 501: Mechanism Design 🏗️"
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- "**Reverse game theory: Design the game itself!**"
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- "✓ Mechanism design (reverse game theory)"
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- "✓ Auction theory"
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- "✓ Voting theory"
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- "✓ Incentive compatibility"
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question: Ready to learn how to design strategic systems?
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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: "mechanism_design: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: mechanism_design
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title: Designing Strategic Systems
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steps:
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- step_id: step_1
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title: Incentive Engineering
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content_blocks:
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- "## Mechanism Design: Engineering Incentives 🎯"
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- ""
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- "**The challenge:**"
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- "Design rules so self-interested players produce desired outcomes"
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- ""
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- "**Revelation Principle:**"
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- "Focus on mechanisms where truth-telling is optimal"
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- "'Incentive compatible' mechanisms"
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- ""
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- "**Vickrey Auction (2nd-price sealed-bid):**"
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- "- Everyone submits sealed bid"
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- "- Highest bidder wins"
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- "- Pays 2nd-highest bid"
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- ""
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- "**Why brilliant:**"
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- "- Dominant strategy: Bid your true value!"
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- "- Overbidding risks paying too much"
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- "- Underbidding risks losing when you'd profit"
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- "- Truthful bidding is optimal"
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- ""
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- "**Applications:**"
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- "- eBay (proxy bidding)"
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- "- Google AdWords"
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- "- Organ donation matching"
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- "- Spectrum auctions"
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question: In a Vickrey auction, why is bidding your true value the dominant strategy?
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tokens_for_ai: |
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Key insight: You pay 2nd price, not your bid.
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Overbidding risks paying more than value.
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Underbidding risks losing profitable wins.
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True value bidding is optimal.
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Categorize: excellent_explanation, understands_truthful, partial, set_language, off_topic
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buckets: [excellent_explanation, understands_truthful, partial, set_language, off_topic]
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transitions:
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excellent_explanation:
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ai_feedback: {tokens_for_ai: "Perfect! Since you pay 2nd price, not your bid, bidding true value is dominant. Can't improve by lying! This is mechanism design genius!"}
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metadata_add: {score: "n+2", activity_completed: "true"}
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understands_truthful:
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ai_feedback: {tokens_for_ai: "Exactly! Paying 2nd price means truthful bidding is optimal. Over/under bidding can only hurt you. Brilliant design!"}
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metadata_add: {score: "n+1", activity_completed: "true"}
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partial:
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ai_feedback: {tokens_for_ai: "Right idea! Key: you pay 2nd price. Bidding true value dominates - lying can't help, might hurt. This is mechanism design!"}
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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: "mechanism_design:step_1"}
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off_topic: {metadata_add: {activity_completed: "true"}}
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