getRealGainingCoalitions {CoopGame}

Compute real gaining coalitions of game

Description

The function getRealGainingCoalitions identifies all real gaining coalitions. Coalition S is a real gaining coalition if for any true subset T of S there holds: v(S) > v(T)

Usage

getRealGainingCoalitions(v)

Arguments

v

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

Value

A data frame containing all real gaining coalitions.

Author(s)

Johannes Anwander [e-mail]

Jochen Staudacher [e-mail]

References

Holler M.J. and Li X. (1995) "From public good index to public value. An axiomatic approach and generalization", Control and Cybernetics 24, pp. 257–270

Bertini C. and Stach I. (2015) "On Public Values and Power Indices", Decision Making in Manufacturing and Services 9(1), pp. 9–25

Examples

library(CoopGame)
getRealGainingCoalitions(v=c(0,0,0,0,0,0,2))


library(CoopGame)
v <- c(1,2,3,4,0,0,0)
getRealGainingCoalitions(v)
# Output:
#    V1 V2 V3 cVal
# 1  1  0  0    1
# 2  0  1  0    2
# 3  0  0  1    3
# 4  1  1  0    4