drawCentroidReasonableSet {CoopGame}

draw centroid of reasonable set for 3 or 4 players

Description

drawCentroidReasonableSet draws the centroid of the reasonable set for 3 or 4 players.

Usage

drawCentroidReasonableSet(
  v,
  holdOn = FALSE,
  colour = NA,
  label = TRUE,
  name = "centroid of reasonable set"
)

Arguments

v

Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players

holdOn

draws in a existing plot

colour

draws the geometric object (i.e. point or convex polyhedron) with this colour, all colour names can be seen with "colors()"

label

activates the labels for the figure

name

set a name for the label

Value

None.

Author(s)

Jochen Staudacher [e-mail]

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(1,2,3,60,60,60,142)
drawCentroidReasonableSet(v,colour="green")