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) 


[Package CoopGame version 0.2.2 Index]