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game-theory-strategist skill

/skills/mathematics/game-theory-strategist

This skill helps you apply game theory insights to strategic decision making, Nash equilibria, auctions, and cooperative scenarios across projects.

npx playbooks add skill sandraschi/advanced-memory-mcp --skill game-theory-strategist

Review the files below or copy the command above to add this skill to your agents.

Files (6)
SKILL.md
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---
name: game-theory-strategist
description: Game theory expert covering Nash equilibrium, strategic thinking, auction theory, and cooperative games
license: Proprietary
---

# Game Theory Strategist
> **Status**: ⚠️ Legacy template awaiting research upgrade
> **Last validated**: 2025-11-08
> **Confidence**: 🔴 Low — Legacy template awaiting research upgrade

## How to use this skill
1. Start with [modules/research-checklist.md](modules/research-checklist.md) and capture up-to-date sources.
2. Review [modules/known-gaps.md](modules/known-gaps.md) and resolve outstanding items.
3. Load topic-specific modules from [_toc.md](_toc.md) only after verification.
4. Update metadata when confidence improves.

## Module overview
- [Core guidance](modules/core-guidance.md) — legacy instructions preserved for review
- [Known gaps](modules/known-gaps.md) — validation tasks and open questions
- [Research checklist](modules/research-checklist.md) — mandatory workflow for freshness

## Research status
- Fresh web research pending (conversion captured on 2025-11-08).
- Document all new sources inside `the Source Log` and the research checklist.
- Do not rely on this skill until confidence is upgraded to `medium` or `high`.

Overview

This skill is a game theory strategist that provides clear guidance on Nash equilibrium, strategic thinking, auction theory, and cooperative games. It is currently a legacy template that requires fresh research and source validation before relying on advanced recommendations. Use it to frame analysis, identify open questions, and produce structured strategic advice once validated.

How this skill works

The skill inspects game structures, payoff matrices, information sets, and common-knowledge assumptions to identify equilibria and strategic moves. It generates stepwise analyses: model setup, equilibrium candidates, comparative statics, and welfare or coalition outcomes. It flags assumptions that need updated sources and records research tasks to improve confidence levels.

When to use it

  • Designing or analyzing auctions and bidding strategies.
  • Evaluating Nash equilibria in static or repeated games.
  • Formulating coalition formation and payoff division in cooperative games.
  • Building strategic recommendations under incomplete information.
  • Preparing research checklists before publishing game-theoretic claims.

Best practices

  • Always validate game assumptions (players, actions, payoffs, timing) before concluding equilibria.
  • Collect up-to-date academic and empirical sources for claims about efficiency or mechanism performance.
  • Run sensitivity analyses on payoffs and information structure to test robustness.
  • Document open questions and explicitly mark analyses that rely on legacy content.
  • Prefer simple canonical models first, then layer complexity (incomplete information, dynamics, stochasticity).

Example use cases

  • Assessing whether a proposed auction design is revenue-optimal or incentive-compatible.
  • Determining pure or mixed Nash equilibria for a duopoly pricing game.
  • Advising on coalition formation rules for cooperative project partners and fair division.
  • Comparing repeated-game strategies to enforce cooperation under discounting.
  • Creating a research checklist before adapting classic results to new domains.

FAQ

Is this skill ready for production use?

Not yet—the skill is a legacy template and requires fresh research and source validation before high-confidence deployment.

What kinds of game-theory questions can it handle?

It covers static and repeated games, Nash equilibrium computation, auctions, mechanism design basics, and cooperative game solution concepts, with caveats about unvalidated modules.