belongsToReasonableSet: Check if point is element of reasonable set
In CoopGame: Important Concepts of Cooperative Game Theory

Description Usage Arguments Value Author(s) References Examples

belongsToReasonableSet checks if the point is in the reasonable set

1	belongsToReasonableSet(x, v)

`x`	numeric vector containing allocations for each player
`v`	Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players

TRUE if point belongs to reasonable set, FALSE otherwise

Jochen Staudacher jochen.staudacher@hs-kempten.de

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

library(CoopGame)
belongsToReasonableSet(x=c(1,0.5,0.5), v=c(0,0,0,1,1,1,2))


library(CoopGame)
v <- c(0,0,0,3,3,3,6)
belongsToReasonableSet(x=c(2,2,2),v)
#[1] TRUE
belongsToReasonableSet(x=c(1,2,4),v)
#[1] FALSE