CoopGame (version 0.2.2)

belongsToCore: 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

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(0,1,2,3,4,5,6)
belongsToCore(c(1,2,3),v)
# }