normal_form | R Documentation |
normal_form()
defines a normal-form game and
creates an object of "normal_form" class.
normal_form(
players = NULL,
s1 = NULL,
s2 = NULL,
payoffs1 = NULL,
payoffs2 = NULL,
cells = NULL,
discretize = FALSE,
discrete_points = c(6, 6),
symmetric = FALSE,
byrow = FALSE,
pars = NULL,
par1_lim = NULL,
par2_lim = NULL,
cons1 = NULL,
cons2 = NULL,
cons_common = NULL
)
players |
A character vector of the name (label) for the players. |
s1 |
A character vector of pure strategies for Player 1 (row player). Required only when the player has discrete-choice strategies. |
s2 |
A character vector of pure strategies for Player 2 (column player). Required only when the player has discrete-choice strategies. |
payoffs1 |
The payoff of Player1. This argument can be specified in three different ways. First, it can be a numeric vector of payoffs. Second, it can be a character string of the payoff function (e.g., payoffs1 = "x^2 - y"). Third, it can be an R function of payoff. |
payoffs2 |
The payoff of Player 2. See the explanation of
|
cells |
A list of vectors to specify the payoff for each cell. Each element of the list should be a numeric vector of two players' payoffs. |
discretize |
A logical value. Set this |
discrete_points |
A numeric vector of length 2 to set how many discrete
points should be used to discretize the game defined by payoff functions.
Default is |
symmetric |
A logical value. Set this |
byrow |
A logical value. If |
pars |
A character vector of parameters that are selected by players 1
and 2, respectively. Only used when |
par1_lim |
A numeric vector of length 2, which defines the range of parameters from which Player 1 chooses her strategy. |
par2_lim |
A numeric vector of length 2, which defines the range of parameters from which Player 2 chooses his strategy. |
cons1 |
A named list of parameters contained in |
cons2 |
A named list of parameters contained in |
cons_common |
A named list of parameters contained in |
Creates an object of "normal_form" class, which can be passed to functions in order to find solutions of the game.
An object of "normal_form" class, which defines a normal-form (or strategic-form) game.
Yoshio Kamijo and Yuki Yanai yanai.yuki@kochi-tech.ac.jp
game1 <- normal_form(
s1 = c("T", "B"),
s2 = c("L", "R"),
payoffs1 = c(4, 2, 3, 1),
payoffs2 = c(4, 3, 2, 1),
players = c("Row Player", "Column Player"))
game1b <- normal_form(
s1 = c("T", "B"),
s2 = c("L", "R"),
cells = list(c(4, 4),
c(2, 3),
c(3, 2),
c(1, 1)),
players = c("Row Player", "Column Player"))
game2 <- normal_form(
players = c("A", "B"),
payoffs1 = "-x1^2 + (28 - x2) * x1",
payoffs2 = "-x2^2 + (28 - x1) * x2",
par1_lim = c(0, 30),
par2_lim = c(0, 30),
pars = c("x1", "x2"))
fx <- function(x, y, a, b) -x^a + (b - y) * x
fy <- function(x, y, s, t) -y^s + (t - x) * y
game3 <- normal_form(
payoffs1 = fx,
payoffs2 = fy,
pars = c('x', 'y'),
par1_lim = c(0, 30),
par2_lim = c(0, 30))
## Not run:
## This throws an error because payoffs1 and payoffs2 are in different forms.
game4 <- normal_form(
payoffs1 = fx,
payoffs2 = "-y^2 + (28 - x) * y",
pars = c('x', 'y'),
par1_lim = c(0, 30),
par2_lim = c(0, 30)
)
## End(Not run)
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