centroidReasonableSet {CoopGame}R Documentation

Compute centroid of reasonable set

Description

Calculates the centroid of the reasonable set for specified game.

Usage

centroidReasonableSet(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 reasonable set for a game specified by a game vector.

Author(s)

Jochen Staudacher jochen.staudacher@hs-kempten.de

References

Milnor J.W. (1953) Reasonable Outcomes for N-person Games, Rand Corporation, Research Memorandum RM 916.

Branzei R., Dimitrov D. and Tijs S. (2006) Models in cooperative game theory, Springer, p. 21

Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, pp. 43–44

Gerard-Varet L.A. and Zamir S. (1987) "Remarks on the reasonable set of outcomes in a general coalition function form game", Int. Journal of Game Theory 16(2), pp. 123–143

Examples

library(CoopGame)
v=c(0,0,0,2,2,3,5)
centroidReasonableSet(v) 


[Package CoopGame version 0.2.2 Index]