cooptrees (version 1.0)

maGames: Cooperative game associated with minimum cost arborescences

Description

Given a graph with at least one minimum cost arborescence the maGames function builds the cooperative game associated with it.

Usage

maGames(nodes, arcs, game = "pessimistic", show.data = TRUE)

Arguments

nodes

vector containing the nodes of the graph, identified by a number that goes from $1$ to the order of the graph.

arcs

matrix with the list of arcs of the graph. Each row represents one arc. The first two columns contain the two endpoints of each arc and the third column contains their weights.

game

denotes the game to be obtained, known as the "pessimistic" game.

show.data

logical value indicating if the function displays the console output (TRUE) or not (FALSE). By default its value is TRUE.

Value

maGames returns a vector with the characteristic fuction of the cooperative game associated with the graph.

Examples

# Graph
nodes <- 1:4
arcs <- matrix(c(1,2,7, 1,3,6, 1,4,4, 2,3,8, 2,4,6, 3,2,6,
                 3,4,5, 4,2,5, 4,3,7), ncol = 3, byrow = TRUE)
# Cooperative games
maGames(nodes, arcs, game = "pessimistic")