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)

[Package CoopGame version 0.2.2 Index]