game-theory

game-theory is a skill for Claude Code, Codex from hamzabellouch/agent-skills. It costs 23 tokens per session (192 once invoked), scanned A, original, MIT.

A guide to mathematical models of strategic situations in which people or computer-controlled agents affect one another's results. It covers equilibria, dominant and mixed strategies, cooperative games, and fair division of shared payoffs.

In plain words
What is it for?
Use it to study negotiation, competition, cooperation, mechanism design, and agent behaviour. Its methods include backward induction, minimax reasoning, and best-response analysis.
Why use it?
It helps analyse situations where choosing the best action depends on what others may do. It also distinguishes a stable set of choices from an outcome that is simply efficient or fair.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit Use it to study negotiation, competition, cooperation, mechanism design, and agent behaviour. Its methods include backward induction, minimax reasoning, and best-response analysis.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/hamzabellouch/agent-skills/game-theory
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add hamzabellouch/agent-skills --skill game-theory
Clone the repo
git clone --depth 1 https://github.com/hamzabellouch/agent-skills

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for game-theory

README.md
[![agentmods](https://agentmods.dev/badge/skills/hamzabellouch/agent-skills/game-theory/github.svg)](https://agentmods.dev/skills/hamzabellouch/agent-skills/game-theory)
Your own site
<a href="https://agentmods.dev/skills/hamzabellouch/agent-skills/game-theory"><img src="https://agentmods.dev/badge/skills/hamzabellouch/agent-skills/game-theory/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for game-theory

Your own site · 80×15
<a href="https://agentmods.dev/skills/hamzabellouch/agent-skills/game-theory"><img src="https://agentmods.dev/badge/skills/hamzabellouch/agent-skills/game-theory.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 23 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 192 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00023 $0.00192
Opus 5.5 $0.00009 $0.00077
Sonnet 5.5 $0.00005 $0.00038
Haiku 4.5 $0.00002 $0.00019

Measured 7d ago against content hash c3b1131d88f7, method: parsed. Prices are Anthropic first-party input rates as of 2026-10-07, from the pricing page.

Security

Grade A, and why

game-theory scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 7d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

Math/Optimization_and_Game_Theory/game-theory/SKILL.md · 38 lines

What it actually says

Game Theory

Domain

Strategic interaction between rational agents.

Core Concepts

  • Normal-form and extensive-form games
  • Nash equilibrium
  • Dominant strategies
  • Mixed strategies
  • Cooperative games, Shapley value

Key Methods

  • Backward induction
  • Minimax theorem
  • Best-response dynamics
  • Mechanism design

Canonical Examples

  • Prisoner's dilemma: (Defect, Defect) is unique NE.
  • Matching pennies: mixed NE with p=1/2.
  • Shapley value for fair coalition payoff.

Common Pitfalls

  • Assuming unique equilibrium
  • Ignoring information asymmetry
  • Confusing Pareto optimality with NE

Optimization, Probability, Economics

Files

What ships with it

1 file beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 7d ago First seen · 38 lines · 23 tokens per session scan A c3b1131d88f7

Subscribe to this mod's changes

game-theory is a skill published in the GitHub repository hamzabellouch/agent-skills (8 stars, last pushed today), licensed MIT. It adds 23 tokens to every session and 192 once invoked, about $0.0001 per session on Opus 5.5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-10-10.

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