egttools.numerical.structure.factories.NetworkCoEvolutionaryPCHomophilic¶

class NetworkCoEvolutionaryPCHomophilic(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, game: egttools.numerical.numerical_.games.AbstractSpatialGame, topology: collections.abc.Mapping[SupportsInt | SupportsIndex, collections.abc.Sequence[SupportsInt | SupportsIndex]], nb_strategies: SupportsInt | SupportsIndex, beta: SupportsFloat | SupportsIndex, mu: SupportsFloat | SupportsIndex, rewiring_probability: SupportsFloat | SupportsIndex, cache_size: SupportsInt | SupportsIndex = 100000)¶

Bases: pybind11_object

Co-evolutionary network estimator: Pairwise Comparison updates + Homophilic rewiring.

When a rewiring event occurs, the focal node severs a link to a different-strategy neighbour and preferentially reconnects to a same-strategy non-neighbour. Models social polarisation (Borges et al. 2023).

Construct a NetworkCoEvolutionary estimator.

Parameters:

game (egttools.games.AbstractSpatialGame)
topology (dict[int, list[int]])
nb_strategies (int)
beta (float)
mu (float) – Mutation probability.
rewiring_probability (float) – Probability that a time step is a rewiring event rather than a strategy update.
cache_size (int, optional)

Methods

`beta`
`estimate_fixation_probability`	Estimate the fixation probability of a single invader in an otherwise resident population.
`estimate_strategy_distribution`	Estimate time-averaged strategy frequencies and edge homophily after the transitory period.
`initial_topology`
`mu`
`nb_strategies`
`population_size`
`rewiring_probability`
`run`	Run a single co-evolutionary trajectory and return aggregate strategy counts per generation.
`run_snapshots`	Run a co-evolutionary trajectory, calling callbacks at each snapshot.
`set_beta`
`set_mu`
`set_rewiring_probability`

__init__(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, game: egttools.numerical.numerical_.games.AbstractSpatialGame, topology: collections.abc.Mapping[SupportsInt | SupportsIndex, collections.abc.Sequence[SupportsInt | SupportsIndex]], nb_strategies: SupportsInt | SupportsIndex, beta: SupportsFloat | SupportsIndex, mu: SupportsFloat | SupportsIndex, rewiring_probability: SupportsFloat | SupportsIndex, cache_size: SupportsInt | SupportsIndex = 100000) → None¶

Construct a NetworkCoEvolutionary estimator.

Parameters:

game (egttools.games.AbstractSpatialGame)
topology (dict[int, list[int]])
nb_strategies (int)
beta (float)
mu (float) – Mutation probability.
rewiring_probability (float) – Probability that a time step is a rewiring event rather than a strategy update.
cache_size (int, optional)

__new__(**kwargs)¶

beta(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic) → float¶

estimate_fixation_probability(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, invader: SupportsInt | SupportsIndex, resident: SupportsInt | SupportsIndex, nb_runs: SupportsInt | SupportsIndex, nb_generations: SupportsInt | SupportsIndex) → float¶: Estimate the fixation probability of a single invader in an otherwise resident population.

estimate_strategy_distribution(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, nb_runs: SupportsInt | SupportsIndex, nb_generations: SupportsInt | SupportsIndex, transitory: SupportsInt | SupportsIndex, tolerance: SupportsFloat | SupportsIndex = 0.0, check_every: SupportsInt | SupportsIndex = 0) → tuple[Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]'], Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]'], float, float]¶

Estimate time-averaged strategy frequencies and edge homophily after the transitory period.

Returns:: (mean_frequencies, se_frequencies, mean_homophily, se_homophily)
Return type:: tuple[numpy.ndarray, numpy.ndarray, float, float]

initial_topology(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic) → list[list[int]]¶

mu(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic) → float¶

nb_strategies(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic) → int¶

population_size(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic) → int¶

rewiring_probability(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic) → float¶

run(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, nb_generations: SupportsInt | SupportsIndex, transitory: SupportsInt | SupportsIndex, init_state: Annotated[numpy.typing.ArrayLike, numpy.uint64, '[m, 1]']) → Annotated[numpy.typing.NDArray[numpy.uint64], '[m, n]']¶: Run a single co-evolutionary trajectory and return aggregate strategy counts per generation.

run_snapshots(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, nb_generations: SupportsInt | SupportsIndex, transitory: SupportsInt | SupportsIndex, snapshot_interval: SupportsInt | SupportsIndex, init_state: Annotated[numpy.typing.ArrayLike, numpy.uint64, '[m, 1]'], strategy_callback: object, topology_interval: SupportsInt | SupportsIndex = 0, topology_callback: object = None) → None¶

Run a co-evolutionary trajectory, calling callbacks at each snapshot.

Parameters:

strategy_callback (callable) – Called as strategy_callback(generation, population) every snapshot_interval gens.
topology_interval (int, optional) – Call topology_callback every this many generations (0 = never).
topology_callback (callable, optional) – Called as topology_callback(generation, adjacency_list).

set_beta(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, beta: SupportsFloat | SupportsIndex) → None¶

set_mu(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, mu: SupportsFloat | SupportsIndex) → None¶

set_rewiring_probability(self: egttools.numerical.numerical_.structure.NetworkCoEvolutionaryPCHomophilic, p: SupportsFloat | SupportsIndex) → None¶

__annotations__ = {}¶