Description Usage Arguments Value Author(s) References Examples
View source: R/GamePropertyMonotonicity.R
Checks if a TU game with n players is monotonic.
For a monotonic game a coalition S
can never obtain
a larger value than another coalition T
if S
is contained in T
.
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 monotonic, else FALSE
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, p. 12
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 | library(CoopGame)
isMonotonicGame(c(0,0,0,1,0,1,1))
#Example of a non-monotonic game
library(CoopGame)
v1=c(4,2,5,2,3,6,10)
isMonotonicGame(v1)
#Example of a monotonic game
library(CoopGame)
v2=c(2,5,7,10, 9, 13,20)
isMonotonicGame(v2)
|
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