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20 changes: 20 additions & 0 deletions simulations/agent_model.py
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import random

class Agent:

def __init__(self, liquidity):
self.liquidity = liquidity
self.rewards = 0

agents = [Agent(random.randint(10,100)) for _ in range(200)]

fee_pool = 5000

total_liquidity = sum(a.liquidity for a in agents)

for a in agents:
a.rewards = fee_pool * (a.liquidity / total_liquidity)

avg = sum(a.rewards for a in agents)/len(agents)

print("Average reward:", avg)
11 changes: 11 additions & 0 deletions simulations/liquidity_stress_test.py
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import random

liquidity = 100000

for day in range(30):

shock = random.uniform(-0.1,0.1)

liquidity = liquidity * (1 + shock)

print("Day",day,"Liquidity:",int(liquidity))
49 changes: 49 additions & 0 deletions simulations/pirc_agent_simulation.py
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import random

class Agent:

def __init__(self, id):

self.id = id
self.liquidity = random.uniform(10,1000)
self.activity = random.uniform(0,1)
self.rewards = 0


agents = []

for i in range(1000):
agents.append(Agent(i))


fee_pool = 50000


total_weight = 0

for a in agents:
weight = a.liquidity * (1 + a.activity)
total_weight += weight


for a in agents:

weight = a.liquidity * (1 + a.activity)

a.rewards = fee_pool * (weight / total_weight)


total_rewards = sum(a.rewards for a in agents)

avg_reward = total_rewards / len(agents)

top = max(a.rewards for a in agents)

low = min(a.rewards for a in agents)


print("Agents:", len(agents))
print("Total rewards:", int(total_rewards))
print("Average reward:", int(avg_reward))
print("Top reward:", int(top))
print("Lowest reward:", int(low))
42 changes: 42 additions & 0 deletions simulations/pirc_agent_simulation_advanced.py
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import random

class Agent:

def __init__(self, liquidity):
self.liquidity = liquidity
self.utility = 0

def transact(self):

volume = random.uniform(1, 10)
self.utility += volume

return volume


class Ecosystem:

def __init__(self, agents=100):

self.agents = [Agent(random.uniform(10,50)) for _ in range(agents)]
self.total_volume = 0

def step(self):

for a in self.agents:
self.total_volume += a.transact()

def simulate(self, steps=365):

for _ in range(steps):
self.step()

return self.total_volume


if __name__ == "__main__":

eco = Ecosystem()
volume = eco.simulate()

print("Total simulated ecosystem volume:", volume)
57 changes: 57 additions & 0 deletions simulations/pirc_economic_simulation.py
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import numpy as np
import matplotlib.pyplot as plt

years = 10
months = years * 12
t = np.arange(months)

# ---------- Liquidity Growth ----------
L_max = 100
k = 0.05
liquidity = L_max / (1 + np.exp(-k*(t-60)))

# ---------- Reward Emission ----------
initial_reward = 50
decay_rate = 0.01
reward = initial_reward * np.exp(-decay_rate*t)

# ---------- Ecosystem Supply ----------
base_supply = 1000
supply = base_supply + np.cumsum(reward)*0.1

# ---------- Utility Growth ----------
utility = np.log1p(t) * 10

# ---------- Plot Liquidity ----------
plt.figure()
plt.plot(t, liquidity)
plt.title("PiRC Liquidity Growth Projection (10 Years)")
plt.xlabel("Months")
plt.ylabel("Liquidity Index")
plt.savefig("results/liquidity_growth.png")

# ---------- Plot Reward ----------
plt.figure()
plt.plot(t, reward)
plt.title("Reward Emission Projection (10 Years)")
plt.xlabel("Months")
plt.ylabel("Reward Index")
plt.savefig("results/reward_emission.png")

# ---------- Plot Supply ----------
plt.figure()
plt.plot(t, supply)
plt.title("Ecosystem Supply Projection (10 Years)")
plt.xlabel("Months")
plt.ylabel("Supply Index")
plt.savefig("results/supply_projection.png")

# ---------- Plot Utility ----------
plt.figure()
plt.plot(t, utility)
plt.title("Utility Growth Projection")
plt.xlabel("Months")
plt.ylabel("Utility Index")
plt.savefig("results/utility_growth.png")

print("Simulation complete. Results saved in /results")
22 changes: 22 additions & 0 deletions simulations/scenario_analysis.md
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# Scenario Analysis

The simulation environment allows testing several scenarios.

Bull Scenario

• high economic activity
• increasing liquidity
• sustainable rewards

Neutral Scenario

• stable participation
• moderate liquidity growth

Bear Scenario

• low activity
• declining liquidity
• reduced rewards

Each scenario helps evaluate long-term protocol sustainability.
14 changes: 14 additions & 0 deletions simulations/simulation_overview.md
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# PiRC Simulation Framework

The PiRC repository includes simulation tools for modeling
economic behavior in the Pi ecosystem.

Simulation goals:

• test reward fairness
• analyze liquidity growth
• evaluate supply stability
• explore participation incentives

Agent-based simulations model individual participants
interacting with the protocol.
39 changes: 39 additions & 0 deletions simulator/README.md
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This README is designed to provide the Pi Core Team and independent auditors with a clear understanding of the mathematical rigor behind the PiRC-101 economic model. By documenting the simulation layer, you are proving that your $2.248M valuation isn't just a number—it's a calculated result of a stable system.
📄 File: simulator/README.md
PiRC-101 Economic Simulation Suite
This directory contains the Justice Engine Simulation Environment, a collection of tools designed to stress-test the PiRC-101 monetary protocol and demonstrate the stability of the Internal Purchasing Power Reference (IPPR).
🔬 Mathematical Framework
The simulation logic is built upon two primary mathematical invariants that ensure ecosystem solvency even during extreme market volatility.
1. The IPPR Formula
The simulator calculates the real-time internal value of 1 Mined Pi using the Sovereign Multiplier (QWF):
Where QWF = 10^7. This constant is the anchor for the $2,248,000 USD valuation based on the current market baseline of 0.2248.
2. The Reflexive Guardrail (\Phi)
To prevent systemic insolvency during "Black Swan" events, the simulator monitors the \Phi (Phi) Factor:
* If \Phi \geq 1: The system is fully collateralized; expansion is permitted.
* If \Phi < 1: The Justice Engine automatically "crushes" credit expansion to protect the internal purchasing power.
🛠 Core Components
1. stochastic_abm_simulator.py
An Agent-Based Model (ABM) that runs thousands of iterations to simulate Pioneer behavior, merchant settlement, and external market shocks.
* Scenarios: bull (Expansion), bear (Contraction), and black_swan (90% market crash).
* Output: Generates a deterministic report on system solvency.
2. live_oracle_dashboard.py
A Python-based emulator of the Multi-Source Medianized Oracle.
* Feature: Implements a 15% Volatility Circuit Breaker.
* Logic: Aggregates price signals and rejects outliers to maintain a stable IPPR feed.
3. dashboard.html
A lightweight, high-performance visualization tool used to demonstrate the Internal Purchasing Power to non-technical stakeholders and merchants.
🚀 How to Run
Execute a Full Stress Test
To verify the protocol's resilience against a market crash:
python3 simulator/stochastic_abm_simulator.py --scenario black_swan

Launch the Real-Time Oracle Feed
To observe the dynamic $2,248,000 USD valuation in a live-emulated environment:
python3 simulator/live_oracle_dashboard.py

Visual Demonstration
Simply open dashboard.html in any modern web browser to view the interactive IPPR valuation dashboard.
📊 Evaluation Criteria
Reviewers should focus on the Reflexive Invariant Output. The simulator is successful if the internal value of REF remains stable despite P_{market} fluctuations, provided that the \Phi guardrail is active.
Next Step for Execution

109 changes: 109 additions & 0 deletions simulator/abm_visualizer.py
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import random
import matplotlib.pyplot as plt

class Agent:
def __init__(self, behavior_type):
self.type = behavior_type
self.pi_balance = random.uniform(100, 5000)
self.ref_balance = 0

def decide_action(self, phi, liquidity_trend):
if self.type == "Opportunistic":
return "MINT_MAX" if 0.5 < phi < 0.9 else "HOLD"
elif self.type == "Defensive":
return "EXIT_ALL" if liquidity_trend == "DOWN" or phi < 0.4 else "HOLD"
elif self.type == "Steady":
return "MINT_PARTIAL"

class PiRC101_Visual_Sim:
def __init__(self, num_agents=200):
self.epoch = 0
self.pi_price = 0.314
self.liquidity = 10_000_000
self.ref_supply = 0
self.qwf = 10_000_000
self.gamma = 1.5
self.exit_cap = 0.001
self.agents = [Agent(random.choice(["Opportunistic", "Defensive", "Steady"])) for _ in range(num_agents)]

# Data trackers for plotting
self.history = {'epoch': [], 'phi': [], 'liquidity': [], 'ref_supply': []}

def get_phi(self):
if self.ref_supply == 0: return 1.0
ratio = (self.liquidity * self.exit_cap) / (self.ref_supply / self.qwf)
return 1.0 if ratio >= self.gamma else (ratio / self.gamma) ** 2

def run_epoch(self):
self.epoch += 1

# Simulate a prolonged bear market (Stress Test)
market_shift = random.uniform(-0.05, 0.02)
self.pi_price *= (1 + market_shift)
self.liquidity *= (1 + market_shift)
liquidity_trend = "DOWN" if market_shift < 0 else "UP"

phi = self.get_phi()
daily_exit_pool = self.liquidity * self.exit_cap
exit_requests = 0

for agent in self.agents:
action = agent.decide_action(phi, liquidity_trend)
if action == "MINT_MAX" and agent.pi_balance > 0:
minted = agent.pi_balance * self.pi_price * self.qwf * phi
self.ref_supply += minted
agent.ref_balance += minted
agent.pi_balance = 0
elif action == "MINT_PARTIAL" and agent.pi_balance > 10:
minted = 10 * self.pi_price * self.qwf * phi
self.ref_supply += minted
agent.ref_balance += minted
agent.pi_balance -= 10
elif action == "EXIT_ALL" and agent.ref_balance > 0:
exit_requests += agent.ref_balance

exit_cleared = min(exit_requests, daily_exit_pool * self.qwf)
self.ref_supply -= exit_cleared

if self.ref_supply < 0: self.ref_supply = 0

# Save data for plotting
self.history['epoch'].append(self.epoch)
self.history['phi'].append(phi)
self.history['liquidity'].append(self.liquidity)
self.history['ref_supply'].append(self.ref_supply)

# Run Simulation
sim = PiRC101_Visual_Sim(num_agents=200)
for _ in range(100): # Run for 100 days
sim.run_epoch()

# --- Plotting the Results ---
fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 8))

# Plot 1: System Solvency (Phi) over Time
ax1.plot(sim.history['epoch'], sim.history['phi'], color='red', linewidth=2, label='Phi (Throttling Coefficient)')
ax1.axhline(y=1.0, color='green', linestyle='--', label='Full Expansion (1.0)')
ax1.set_title('PiRC-101 Guardrail: Phi Reaction to 100-Day Market Stress')
ax1.set_ylabel('Phi Value')
ax1.legend()
ax1.grid(True)

# Plot 2: Liquidity vs REF Supply
ax2.plot(sim.history['epoch'], sim.history['liquidity'], color='blue', label='External Liquidity (USD)')
ax2.set_ylabel('Liquidity (USD)', color='blue')
ax2.tick_params(axis='y', labelcolor='blue')

ax3 = ax2.twinx()
ax3.plot(sim.history['epoch'], sim.history['ref_supply'], color='purple', linestyle='-', label='Total REF Supply')
ax3.set_ylabel('REF Supply', color='purple')
ax3.tick_params(axis='y', labelcolor='purple')

ax2.set_title('Macroeconomic Trends: Liquidity Depletion vs Credit Supply')
ax2.set_xlabel('Epoch (Days)')
ax2.grid(True)

plt.tight_layout()
plt.savefig('pirc101_stress_test_chart.png')
plt.show()
print("Simulation complete! Chart saved as 'pirc101_stress_test_chart.png'")
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