sim_fict: Simulates fictitious plays of a game
In yukiyanai/rgamer: rgamer: Learn Game Theory Using R

sim_fict

R Documentation

Simulates fictitious plays of a game

Description

sim_fict() simulates a fictitious play of a game

Usage

sim_fict(
  game,
  n_samples = 1,
  n_periods = 50,
  lambda = 1,
  init = NULL,
  sigma = 0,
  plot_range_y = NULL,
  plot_id = 1
)

Arguments

`game`	An object of `normal_form` class defined by `normal_form()`.
`n_samples`	A positive integer specifying the number of samples to be simulated.
`n_periods`	A positive integer specifying how many times the game is played.
`lambda`	A positive real value representing the players' sensitivity to expected utilities. As `lambda` gets larger, a small difference in expected utility makes a big difference in choice probability.
`init`	A list of initial levels of beliefs. The length of the list must be two. Each element must be a vector of values between 0 and 1 representing a player's belief. If `init = NULL`, which is default, initial beliefs will be randomly assigned.
`sigma`	A non-negative value determining the level of noise adherent to evaluation of payoffs.
`plot_range_y`	Choose the range of vertical axis for plots. Available choices are `"fixed"`, `"full"` and `"free"`. If `plot_range_y = "free"`, the range of y-axis depends on simulation results. If `plot_range_y = "full"`, The range defined in `game` is used for each player, which can be different between players. With `"fixed"`, the same y-axis is used for both players.
`plot_id`	An integer between 1 and n_samples to specify for which sample, playing history should be displayed. If `plot_id = NULL`, plot_B and plot_P will be NULL.

Details

Simulate fictitious plays of a normal-form game defined by normal_form().

Value

A list containing (1) a data frames of strategies chosen by each player, (2) a single long data frame of (1)'s data frames combined, (3) a list of each player's belief about the opponent's behavior (data frames), (4) a list of probability of each strategy being chosen (data frames), and (5) three plots of simulation result.