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from __future__ import annotations
from dataclasses import dataclass
from typing import Iterator
import networkx as nx
import numpy as np
from .metrics import NullTest, assortativity_null, summarize_metrics
from .networks import build_network
@dataclass(frozen=True)
class SimulationConfig:
n_agents: int = 100
network: str = "Small World"
initial_opinion: str = "Random"
stubborn_fraction: float = 0.05
stubborn_mode: str = "Split extremes"
misinformation_exposure: float = 0.25
misinformation_strength: float = 0.35
misinformation_direction: float = 1.0
confirmation_bias: float = 0.45
social_influence: float = 0.45
noise: float = 0.02
steps: int = 120
seed: int = 42
average_degree: int = 8
# Adaptive network (v1.2). rewiring_rate = 0 reproduces v1.1 exactly.
rewiring_rate: float = 0.0
rewiring_tolerance: float = 0.5
class OpinionSimulation:
"""Synchronous continuous-opinion simulation on a (optionally adaptive) social graph.
Each step has two phases:
1. Opinion update (all adaptive agents simultaneously), using the
distance-weighted neighbourhood target described in the README.
2. Optional homophilic rewiring. Each adaptive agent, with probability
``rewiring_rate``, inspects one uniformly chosen neighbour. If their
opinion distance exceeds ``rewiring_tolerance`` the tie is dropped and
replaced with a tie to a uniformly chosen non-neighbour within the
tolerance (Holme & Newman, 2006). The number of edges and the
initiating agent's degree are conserved; ties are never removed from an
agent of degree one.
Opinion noise and rewiring draw from independent random streams, so
turning rewiring on does not perturb the noise sequence.
"""
def __init__(self, config: SimulationConfig):
self.config = config
self._validate()
self.rng = np.random.default_rng(config.seed)
self.rewire_rng = np.random.default_rng([config.seed, 20260927])
self.graph: nx.Graph = build_network(
config.network, config.n_agents, config.seed, config.average_degree
)
self.initial_graph: nx.Graph = self.graph.copy()
self.graph_version = 0
self.rewired_ties = 0
self.opinions = self._initialize_opinions()
self.stubborn_mask = self._choose_mask(config.stubborn_fraction)
self._apply_stubborn_mode()
self.initial_opinions = self.opinions.copy()
self.misinformation_mask = self._choose_mask(config.misinformation_exposure, ~self.stubborn_mask)
self._adaptive = np.flatnonzero(~self.stubborn_mask)
self._rebuild_edge_cache()
self.history: list[np.ndarray] = [self.opinions.copy()]
self.metric_history: list[dict[str, float]] = [self.metrics(step=0)]
# ── setup ──────────────────────────────────────────────────────────────
def _validate(self) -> None:
config = self.config
if not 4 <= int(config.n_agents) <= 5000:
raise ValueError("n_agents must be between 4 and 5000")
for name in (
"stubborn_fraction",
"misinformation_exposure",
"misinformation_strength",
"confirmation_bias",
"social_influence",
"rewiring_rate",
):
value = float(getattr(config, name))
if not 0.0 <= value <= 1.0:
raise ValueError(f"{name} must be in [0, 1]")
if not 0.0 < config.rewiring_tolerance <= 2.0:
raise ValueError("rewiring_tolerance must be in (0, 2]")
if not 0.0 <= config.noise <= 0.2:
raise ValueError("noise must be in [0, 0.2]")
if config.steps < 1:
raise ValueError("steps must be >= 1")
if config.misinformation_direction not in (-1.0, 1.0):
raise ValueError("misinformation_direction must be -1 or +1")
def _initialize_opinions(self) -> np.ndarray:
mode = self.config.initial_opinion.lower()
n_agents = self.config.n_agents
if mode == "random":
values = self.rng.uniform(-1.0, 1.0, size=n_agents)
elif mode == "neutral":
values = self.rng.normal(0.0, 0.16, size=n_agents)
elif mode == "polarized":
signs = self.rng.choice([-1.0, 1.0], size=n_agents)
values = signs * self.rng.normal(0.72, 0.13, size=n_agents)
else:
raise ValueError(f"Unknown initial opinion mode: {self.config.initial_opinion}")
return np.clip(values, -1.0, 1.0).astype(np.float64)
def _choose_mask(self, fraction: float, eligible: np.ndarray | None = None) -> np.ndarray:
n_agents = self.config.n_agents
mask = np.zeros(n_agents, dtype=bool)
if fraction <= 0:
return mask
candidates = np.arange(n_agents) if eligible is None else np.flatnonzero(eligible)
count = min(len(candidates), int(round(fraction * n_agents)))
if count > 0:
picked = self.rng.choice(candidates, size=count, replace=False)
mask[picked] = True
return mask
def _apply_stubborn_mode(self) -> None:
indices = np.flatnonzero(self.stubborn_mask)
if indices.size == 0:
return
mode = self.config.stubborn_mode.lower()
if mode == "keep initial":
return
if mode == "positive (+1)":
self.opinions[indices] = 1.0
elif mode == "negative (-1)":
self.opinions[indices] = -1.0
elif mode == "split extremes":
shuffled = self.rng.permutation(indices)
split = len(shuffled) // 2
self.opinions[shuffled[:split]] = -1.0
self.opinions[shuffled[split:]] = 1.0
else:
raise ValueError(f"Unknown stubborn mode: {self.config.stubborn_mode}")
def _rebuild_edge_cache(self) -> None:
edges = np.asarray(self.graph.edges(), dtype=np.intp).reshape(-1, 2)
self._src = np.concatenate((edges[:, 0], edges[:, 1]))
self._dst = np.concatenate((edges[:, 1], edges[:, 0]))
self._degree = np.bincount(self._src, minlength=self.config.n_agents)
# ── diagnostics ────────────────────────────────────────────────────────
def metrics(self, step: int | None = None) -> dict[str, float]:
values = summarize_metrics(self.graph, self.opinions, self.config.confirmation_bias)
values["step"] = float(len(self.history) - 1 if step is None else step)
values["rewired_ties"] = float(self.rewired_ties)
return values
def null_test(self, n_permutations: int = 200) -> NullTest:
"""Permutation test of the current opinion clustering on the current graph."""
return assortativity_null(
self.graph, self.opinions, n_permutations=n_permutations, seed=self.config.seed + 7919
)
# ── dynamics ───────────────────────────────────────────────────────────
def _opinion_update(self) -> np.ndarray:
cfg = self.config
old = self.opinions
n = cfg.n_agents
beta = 6.0 * cfg.confirmation_bias
neighbour_values = old[self._dst]
weights = np.exp(-beta * np.abs(old[self._src] - neighbour_values))
total = np.bincount(self._src, weights=weights, minlength=n)
weighted = np.bincount(self._src, weights=weights * neighbour_values, minlength=n)
has_target = (self._degree > 0) & (total > 1e-12)
social_target = np.where(has_target, weighted / np.where(has_target, total, 1.0), old)
delta = cfg.social_influence * (social_target - old)
if cfg.misinformation_strength > 0:
push = 0.22 * cfg.misinformation_strength * (cfg.misinformation_direction - old)
delta = delta + np.where(self.misinformation_mask, push, 0.0)
if cfg.noise > 0 and self._adaptive.size:
delta[self._adaptive] += self.rng.normal(0.0, cfg.noise, size=self._adaptive.size)
new = np.clip(old + delta, -1.0, 1.0)
new[self.stubborn_mask] = old[self.stubborn_mask]
return new
def _rewire(self) -> int:
cfg = self.config
if cfg.rewiring_rate <= 0 or self._adaptive.size == 0:
return 0
rng = self.rewire_rng
x = self.opinions
tol = cfg.rewiring_tolerance
movers = self._adaptive[rng.random(self._adaptive.size) < cfg.rewiring_rate]
rng.shuffle(movers)
changed = 0
for i in movers:
i = int(i)
neighbours = list(self.graph.neighbors(i))
if not neighbours:
continue
j = neighbours[int(rng.integers(len(neighbours)))]
if abs(x[i] - x[j]) <= tol or self.graph.degree(j) <= 1:
continue
close = np.flatnonzero(np.abs(x - x[i]) <= tol)
if close.size <= 1:
continue
blocked = set(neighbours)
blocked.add(i)
candidates = [int(k) for k in close if int(k) not in blocked]
if not candidates:
continue
k = candidates[int(rng.integers(len(candidates)))]
self.graph.remove_edge(i, j)
self.graph.add_edge(i, k)
changed += 1
if changed:
self.rewired_ties += changed
self.graph_version += 1
self._rebuild_edge_cache()
return changed
def step(self) -> np.ndarray:
self.opinions = self._opinion_update()
self._rewire()
self.history.append(self.opinions.copy())
self.metric_history.append(self.metrics(step=len(self.history) - 1))
return self.opinions
def run(self, steps: int | None = None) -> np.ndarray:
for _ in range(self.config.steps if steps is None else steps):
self.step()
return self.opinions.copy()
def stream(self, update_every: int = 5) -> Iterator[int]:
update_every = max(1, int(update_every))
for step in range(1, self.config.steps + 1):
self.step()
if step % update_every == 0 or step == self.config.steps:
yield step
@property
def history_array(self) -> np.ndarray:
return np.vstack(self.history)