| centroidCore {CoopGame} | R Documentation |
Compute centroid of core
Description
Calculates the centroid of the core for specified game.
Usage
centroidCore(v)
Arguments
v |
Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players |
Value
Calculates the centroid of the core for a game specified by a game vector v.
Author(s)
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(0,0,0,2,2,3,5)
centroidCore(v)