CLI tool for visualizing evolutionary game theory dynamics — replicator equations, fixed points, and phase portraits in your terminal
Project description
gamescape
Visualize evolutionary game theory dynamics in your terminal. Computes replicator equations, finds fixed points, classifies games, and renders ASCII phase portraits.
Install
pip install -e .
Usage
# Analyze a classic game
gamescape prisoners-dilemma
gamescape stag-hunt
gamescape hawk-dove
gamescape coordination
gamescape harmony
# Custom payoff matrix (CC, CD, DC, DD)
gamescape --matrix 3,0,5,1
# List available games
gamescape --list
# Disable colors
gamescape hawk-dove --no-color
What it shows
- Payoff matrix — the 2x2 symmetric game
- Classification — dominant-cooperate, dominant-defect, coordination, coexistence, bistable
- Fixed points — boundary and interior equilibria with stability (
@= stable,o= unstable) - Phase flow — 1D flow line showing direction of replicator dynamics
- Trajectories — x(t) plot from 5 initial conditions converging to attractors
Example output
Classification: coexistence
Fixed Points:
o x=0.0000 (all-D, unstable)
@ x=0.2857 (interior, stable)
o x=1.0000 (all-C, unstable)
Phase Flow:
all-D |o>>>>>>>>>>>>>>>>@<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<o| all-C
As a library
from gamescape.dynamics import PayoffMatrix, find_fixed_points, classify_game, trajectory
game = PayoffMatrix(a=3, b=0, c=5, d=1) # Prisoner's Dilemma
print(classify_game(game)) # "dominant-defect"
for fp in find_fixed_points(game):
print(f"x={fp.x:.2f} stable={fp.stable} ({fp.label})")
traj = trajectory(game, x0=0.5) # simulate from x=0.5
Tests
pip install -e ".[dev]"
pytest tests/ -v
License
MIT
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