open-games-spec

Typed DSL for compositional game theory, built on gds-framework.

What is this?

open-games-spec extends the GDS framework with game-theoretic vocabulary — open games, strategic interactions, and compositional game patterns. It provides:

• 6 atomic game types — Decision, CovariantFunction, ContravariantFunction, FeedbackGame, CorecursiveGame, IdentityGame
• Pattern composition — Sequential, Parallel, Feedback, and Corecursive composition operators
• IR compilation — Flatten game patterns into JSON-serializable intermediate representation
• 13 verification checks — Type matching (T-001..T-006) and structural validation (S-001..S-007)
• 7 Markdown report templates — System overview, verification summary, state machine, interface contracts, and more
• 6 Mermaid diagram generators — Structural, hierarchy, flow topology, architecture views
• CLI — ogs compile, ogs verify, ogs report

Architecture

gds-framework (pip install gds-framework)
│
│  Domain-neutral composition algebra, typed spaces,
│  state model, verification engine, flat IR compiler.
│
└── open-games-spec (pip install open-games-spec)
    │
    │  Game-theoretic DSL: OpenGame types, Pattern composition,
    │  compile_to_ir(), domain verification, reports, visualization.
    │
    └── Your application
        │
        │  Concrete pattern definitions, analysis notebooks,
        │  verification runners.

Quick start

pip install open-games-spec

from ogs.dsl.games import Decision, CovariantFunction
from ogs.dsl.composition import Flow
from ogs.dsl.pattern import Pattern
from ogs.dsl.compile import compile_to_ir
from ogs import verify

# Define games
sensor = CovariantFunction(name="Sensor", x="observation", y="signal")
agent = Decision(name="Agent", x="signal", y="action", r="reward", s="experience")

# Compose into a pattern
pattern = Pattern(
    name="Simple Decision",
    games=[sensor, agent],
    flows=[Flow(source="Sensor", target="Agent", label="signal")],
)

# Compile and verify
ir_doc = compile_to_ir(pattern)
report = verify(ir_doc)
print(f"{report.checks_passed}/{report.checks_total} checks passed")

License

Apache-2.0

Credits & Attribution

Development & Implementation

• Primary Author: Rohan Mehta
• Organization: BlockScience

Theoretical Foundation

This codebase is a direct implementation of the research and mathematical frameworks developed by:

• Dr. Jamsheed Shorish (@jshorish) and Dr. Michael Zargham (@mzargham).
• Key Reference: Generalized Dynamical Systems, Part I: Foundations (BlockScience, 2021).

Architectural Inspiration

The design patterns and structural approach of this library are heavily influenced by the prior work of Sean McOwen (@SeanMcOwen), specifically:

• MSML: For system specification logic.
• bdp-lib: For block-data processing architecture.

Contributors

• Peter Hacker (@phacker3) — Code auditing and review (BlockScience).

Intellectual Lineage

This project exists within the broader ecosystem of:

• cadCAD: For foundational philosophy in Complex Adaptive Dynamics.