What is the difference between sequential and parallel composition?

Sequential composition allows games to be played one after another where outcomes affect subsequent stages, while parallel composition models games played simultaneously.

Does this skill support specific programming languages?

While the logic is based on categorical semantics, it provides Haskell-like structures and Clojure integration for practical implementation in software projects.

How does the skill calculate Nash Equilibrium?

It uses fixed-point logic and best-response functions to identify states where no player can improve their utility by unilaterally changing their strategy.

What is an 'Open Game' in this skill?

An Open Game is a morphism in a symmetric monoidal category that defines forward play (strategies) and backward coplay (utilities), allowing games to be combined into larger systems.

Open Games Compositional Logic

Name: Open Games Compositional Logic
Author: plurigrid

byplurigrid

•

游戏开发

Models and composes complex strategic games using categorical Para/Optic structures and game theory semantics.

The Open Games Skill empowers developers to model, compose, and analyze strategic interactions through the lens of compositional game theory. By treating games as morphisms within a symmetric monoidal category, it provides a rigorous framework for sequential and parallel game composition. It utilizes Para and Optic structures to handle bidirectional data flow—where strategies move forward and utilities move backward—allowing for the automated calculation of Nash equilibria and the transportation of game logic through derivation chains in complex multi-agent systems.

主要功能

01Bidirectional data flow management using Para morphisms and Profunctor Optics

027 GitHub stars

03Compositional modeling of strategic games using sequential and parallel operators

04Nash Equilibrium detection via fixed-point logic and best-response analysis

05Standardized GF(3) triad support for categorical consistency across topoi

06Integration with Unworld for transporting game logic across derivation chains

使用场景

01Designing formal game-theoretic frameworks for blockchain and smart contract logic

02Modeling complex social and strategic dilemmas like the Prisoner's Dilemma at scale

03Simulating multi-agent economic systems and decentralized market mechanisms

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi open-games

For use in Claude.ai and ChatGPT

Download Skill