| belongsToCore {CoopGame} | R Documentation |
Check if point is core element
Description
belongsToCore checks if a given point is in the core
Usage
belongsToCore(x, v)
Arguments
x |
numeric vector containing allocations for each player |
v |
Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players |
Value
TRUE for a point belonging to the core and FALSE otherwise
Author(s)
Franz Mueller
Jochen Staudacher jochen.staudacher@hs-kempten.de
References
Gillies D.B. (1953) Some Theorems on n-person Games, Ph.D. Thesis, Princeton University Press.
Aumann R.J. (1961) "The core of a cooperative game without side payments", Transactions of the American Mathematical Society 98(3), pp. 539–552
Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, pp. 27–49
Maschler M., Solan E. and Zamir S. (2013) Game Theory, Cambridge University Press, pp. 686–747
Osborne M.J. and Rubinstein A. (1994) A Course in Game Theory, MIT Press, pp. 257–275
Examples
library(CoopGame)
v = c(0,1,2,3,4,5,6)
belongsToCore(c(1,2,3),v)