nash

Compute Nash equilibrium strategies for Pokémon team selection using pkdx CLI.

54|111|Updated Apr 2, 2026
One-click install
npx skills add https://github.com/pkdxtools/pkdx --skill nash
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: nash
Source: https://github.com/pkdxtools/pkdx/tree/main/.claude/skills/nash
Command: npx skills add https://github.com/pkdxtools/pkdx --skill nash

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

This skill computes Nash equilibrium strategies for zero-sum Pokémon battles and supports meta-analysis through the pkdx select and meta-divergence tools.

Core Features & Use Cases

  • Finds mixed-strategy Nash equilibria for team selection and 3v3 matchups in Pokémon battles.
  • Integrates with pkdx select for optimal lineup optimization and with pkdx meta-divergence for meta-analytic insights across different builds.
  • Provides initialization, input formats, and outputs to enable reproducible evaluation.

Quick Start

Run pkdx nash solve with a payoff matrix or monocycle characters to obtain the equilibrium strategies.

Frequently Asked Questions about nash

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

FAQPage Schema
How do I compute Nash equilibrium strategies for Pokémon team selection?

To compute Nash equilibrium strategies for Pokémon team selection, run pkdx nash solve with a payoff matrix or monocycle characters to obtain the optimal mixed-strategy lineups for 3v3 matchups.

What is mixed-strategy Nash equilibrium used for in Pokémon metagame analysis?

Mixed-strategy Nash equilibrium is used in Pokémon metagame analysis to find optimal team lineups and calculate meta-divergence across different builds, ensuring reproducible evaluation of zero-sum battle matchups.

How do I optimize Pokémon lineups using payoff matrices?

You optimize Pokémon lineups by providing a payoff matrix to the pkdx select tool, which evaluates the data using payoff semantics to output the best equilibrium strategies for your team.

Can I analyze meta-divergence across different Pokémon team builds?

Yes, you can analyze meta-divergence across different Pokémon team builds using the pkdx meta-divergence tool, which provides meta-analytic insights to compare how builds diverge from the equilibrium.

Do I need a payoff matrix to run Nash equilibrium calculations for Pokémon battles?

Yes, you need a payoff matrix or monocycle characters to initialize the Nash equilibrium calculations, as the solver relies on payoff semantics to drive phase flows and evaluate zero-sum battle outcomes.

What are the limitations of using Nash equilibrium for Pokémon team matchups?

The Nash equilibrium approach is limited to zero-sum Pokémon battles and 3v3 matchups, relying strictly on theory references and payoff semantics without accounting for dynamic in-battle decision-making outside the initial team selection.