Find Nash equilibria of a normal-form game.

Source: R/solve_nfg_fcn.R

solve_nfg_fcn() finds the pair of best responses when payoff functions are provided as R functions.

solve_nfg_fcn(
  game,
  par_label = NULL,
  cons1 = NULL,
  cons2 = NULL,
  cons_common = NULL,
  precision = 1L,
  plot = TRUE,
  mark_NE = FALSE,
  quietly = FALSE,
  color_palette = "Set1"
)

Arguments

game

A "normal_form" class object created by normal_form().

par_label

A vector of parameter labels if the user define the game with functions as characters.

cons1

A named list of parameters contained in game$payoff$payoffs1 that should be treated as constants, if any.

cons2

A named list of parameters contained in game$payoff$payoffs2 that should be treated as constants, if any.

cons_common

A named list of parameters contained in game$payoff$payoffs1 and game$payoff$payoffs2 that should be treated as constants, if any. If cons1 and cons2 are exactly same, you can specify cons_common instead of specifying both cons1 and cons2.

precision

A natural number specifying the precision of numerical approximation. The value n approximately means that the approximation is correct up to the Nth decimal place. The default value is 1.

plot

A logical value to determine whether the figure of the best response correspondences will be displayed. Default is TRUE.

mark_NE

A logical value to control if the NE (if any) will be marked in the best response plot, which will be displayed (only displayed when plot = TRUE). Default is FALSE.

quietly

A logical value to determine if the equilibrium will be kept in the returned list without being printed on screen. Default is FALSE.

color_palette

A color palette to be used. Default is "Set1".

Value

A list containing the pair of the best response correspondence (NE) and the plot of best response correspondences.

See also

normal_form

Author

Yoshio Kamijo and Yuki Yanai yanai.yuki@kochi-tech.ac.jp