ix-game

Analyze strategic interactions in game theory, including Nash equilibria and auctions.

Updated Mar 12, 2026

Search Tags:#game theory #strategic analysis #auctions #mechanism design #evolutionary dynamics

Ready to run

npx skills add https://github.com/GuitarAlchemist/ix --skill ix-game

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: ix-game
Source: https://github.com/GuitarAlchemist/ix/tree/main/.claude/skills/ix-game
Command: npx skills add https://github.com/GuitarAlchemist/ix --skill ix-game

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) components.

What problem does it solve?

This Skill helps users analyze strategic interactions between rational agents in competitive and cooperative scenarios.

Core Features & Use Cases

Nash Equilibria: Enumerate, analyze, and find dominant strategies.
Cooperative Games: Compute Shapley value, Banzhaf index, and core membership.
Auctions: Support various auction types including first-price, second-price, English, Dutch, and all-pay.
Evolutionary Dynamics: Model replicator dynamics, ESS detection, and Hawk-Dove, Rock-Paper-Scissors games.
Mechanism Design: Design VCG mechanisms and Myerson optimal reserve.
Mean Field: Analyze large-population game dynamics and logit equilibrium.
Use Case: Design a bidding strategy for an auction by using the auction capabilities.

Quick Start

Analyze the strategic interactions in a game by using the ix-game skill.

Frequently Asked Questions about ix-game

High-intent search queries and answers about installing and using this skill.

FAQPage Schema

How do I compute Nash equilibria for strategic interactions in game theory?▼

To compute Nash equilibria for strategic interactions, this Skill enumerates equilibria, analyzes dominant strategies, and identifies stable outcomes for rational agents in competitive scenarios. It handles both pure and mixed strategy profiles.

Can I calculate the Shapley value for cooperative games?▼

Yes, you can calculate the Shapley value for cooperative games to ensure fair allocations. This Skill computes Shapley values, Banzhaf power indices, and core membership to analyze cooperative scenarios and distribute payoffs fairly among agents.

What is the best way to design a bidding strategy for an auction?▼

The best way to design a bidding strategy for an auction is to model various auction types including first-price, second-price, English, Dutch, and all-pay formats. This Skill analyzes bidding scenarios to compute optimal strategies for competitive auctions.

How do evolutionary dynamics work in modeling large-population games?▼

Evolutionary dynamics in large-population games work by modeling replicator dynamics and detecting Evolutionarily Stable Strategies (ESS). This Skill analyzes Hawk-Dove and Rock-Paper-Scissors games, plus mean field logit equilibria for large-scale interactions.

Does this support mechanism design for VCG mechanisms and Myerson optimal reserve?▼

Yes, this supports mechanism design by implementing VCG mechanisms and computing Myerson optimal reserve prices. It allows you to design strategic mechanisms that achieve desired outcomes and compute fair allocations in cooperative scenarios.

When should I not use game theory analysis for strategic interactions?▼

You should not use game theory analysis when agents behave irrationally or when payoff structures cannot be quantified. This Skill assumes rational agents and requires defined payoff matrices or utility functions to compute equilibria and design mechanisms accurately.