belongsToCore: Check if point is core element
In CoopGame: Important Concepts of Cooperative Game Theory

Description Usage Arguments Value Author(s) References Examples

belongsToCore checks if a given point is in the core

1	belongsToCore(x, v)

`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

TRUE for a point belonging to the core and FALSE otherwise

Franz Mueller

Jochen Staudacher jochen.staudacher@hs-kempten.de

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

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library(CoopGame)
v = c(0,1,2,3,4,5,6)
belongsToCore(c(1,2,3),v)

Loading required package: rgl
Loading required package: geometry
Loading required package: rcdd
If you want correct answers, use rational arithmetic.
See the Warnings sections added to help pages for
    functions that do computational geometry.

Warning messages:
1: In rgl.init(initValue, onlyNULL) : RGL: unable to open X11 display
2: 'rgl.init' failed, running with 'rgl.useNULL = TRUE'. 
[1] TRUE