Description Usage Arguments Value Author(s) References Examples
View source: R/GamePropertySuperadditivity.R
Checks if a TU game with n players is superadditive.
In a superadditive game for any two disjoint coalitions
S
and T
the value of the union of
S
and T
is always greater or equal
the sum of the values of S
and T
.
In other words, the members of any two disjoint
coalitions S
and T
will never be
discouraged from collaborating.
1 |
v |
Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players |
TRUE
if the game is superadditive, else FALSE
.
Alexandra Tiukkel
Jochen Staudacher jochen.staudacher@hs-kempten.de
Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, p. 10
Peters H. (2015) Game Theory: A Multi-Leveled Approach, 2nd Edition, Springer, p. 295
Maschler M., Solan E. and Zamir S. (2013) Game Theory, Cambridge University Press, p. 671
Narahari Y. (2015) Game Theory and Mechanism Design, World Scientific Publishing, p. 408
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | library(CoopGame)
isSuperadditiveGame(c(0,0,0,1,1,1,2))
#Example of a superadditive game
library(CoopGame)
v1=c(0,0,0,40,50,20,100)
isSuperadditiveGame(v1)
#Example of a game that is not superadditive
library(CoopGame)
v2=c(0,0,0,40,30,130,100)
isSuperadditiveGame(v2)
#Another example of a superadditive game
library(CoopGame)
v3=c(1,1,1,1, 2,2,2,2,2,2, 3,3,3,3, 4)
isSuperadditiveGame(v3)
|
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.