brd

class quantecon.game_theory.brd.BRD(payoff_matrix, N)

Bases: object

Class representing the best response dynamics model.

Parameters:

payoff_matrixarray_like(float, ndim=2)

The payoff matrix of the symmetric two-player game.

Nscalar(int)

The number of players.

Attributes:

Nscalar(int)

The number of players.

num_actionsscalar(int)

The number of actions.

playerPlayer

Player instance in the model.

Methods

play(action, action_dist, **options)	Return a new action distribution.
time_series(ts_length[, init_action_dist])	Return a time series of action distributions.

play(action, action_dist, **options)

Return a new action distribution.

Parameters:

actionscalar(int)

Pure action of player who takes action.

action_distndarray(int)

The initial action distribution of players.

**optionsKeyword arguments passed to the best response method.

Returns:

ndarray(int)

New action distribution.

time_series(ts_length, init_action_dist=None, **options)

Return a time series of action distributions. The order of player who takes a action is randomly choosed.

Parameters:

ts_lengthscalar(int)

The length of time series.

init_action_distarray_like(int), optional(default=None)

The initial action distribution. If None, determined randomly.

**optionsKeyword arguments passed to the best response method and

other methods.

Returns:

ndarray(int)

The array representing time series of action distributions.

class quantecon.game_theory.brd.KMR(payoff_matrix, N, epsilon=0.1)

Bases: BRD

Class representing the Kandori-Mailath-Rob model.

Parameters:

payoff_matrixarray_like(float, ndim=2)

The payoff matrix of the symmetric two-player game.

Nscalar(int)

The number of players.

epsilonscalar(float), default=0.1

The probability of strategy flips.

Attributes:

Nscalar(int)

See parameters.

num_actionsscalar(int)

The number of actions.

playerPlayer

Player instance in the model.

epsilonscalar(float)

See parameters.

Methods

play(action, action_dist, **options)	See play in BRD.
time_series(ts_length[, init_action_dist])	Return a time series of action distributions.

play(action, action_dist, **options)

See play in BRD.

class quantecon.game_theory.brd.SamplingBRD(payoff_matrix, N, k=2)

Bases: BRD

Class representing the sampling BRD model.

Parameters:

payoff_matrixarray_like(float, ndim=2)

The payoff matrix of the symmetric two-player game.

Nscalar(int)

The number of players.

kscalar(int), default=2

Sample size.

Attributes:

Nscalar(int)

See parameters.

num_actionsscalar(int)

The number of actions.

playerPlayer

Player instance in the model.

kscalar(int), default=2

See parameters.

Methods

play(action, action_dist, **options)	See play in BRD.
time_series(ts_length[, init_action_dist])	Return a time series of action distributions.

play(action, action_dist, **options)

See play in BRD.