Description Usage Arguments Value Related Functions Author(s) References Examples
Create a list containing
all information about a specified apex game:
A coalition can only win (and hence obtain the value 1)
if it
a) contains both the apex player and one additional player
or
b) contains all players except for the apex player.
Any non-winning coalitions obtain the value 0.
Note that apex games are always simple games.
1 | apexGame(n, apexPlayer)
|
n |
represents the number of players |
apexPlayer |
specifies the number of the apex player |
A list with three elements representing the apex game (n, apexPlayer, Game vector v)
apexGameValue, apexGameVector
Jochen Staudacher jochen.staudacher@hs-kempten.de
Johannes Anwander anwander.johannes@gmail.com
Peters H. (2015) Game Theory: A Multi-Leveled Approach, 2nd Edition, Springer, pp. 164–165
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | library(CoopGame)
apexGameVector(n=3,apexPlayer=2)
library(CoopGame)
#Example with four players, apex player is number 3
(vv<-apexGame(n=4,apexPlayer=3))
#$n
#[1] 4
#$apexPlayer
#[1] 4
#$v
# [1] 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1
|
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