CoopGame (version 0.2.2)

centroidCore: 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.

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

# NOT RUN {
library(CoopGame)
v=c(0,0,0,2,2,3,5)
centroidCore(v) 

# }