belongsToImputationset: Check if point is imputation

Description Usage Arguments Value Author(s) References Examples

View source: R/ImputationsetConcept.R

Description

belongsToImputationset checks if the point belongs to the imputation set

Usage

1

Arguments

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

Value

TRUE for a point belonging to the imputation set and FALSE otherwise

Author(s)

Johannes Anwander anwander.johannes@gmail.com

Jochen Staudacher jochen.staudacher@hs-kempten.de

References

Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, p. 20

Maschler M., Solan E. and Zamir S. (2013) Game Theory, Cambridge University Press, p. 674

Osborne M.J. and Rubinstein A. (1994) A Course in Game Theory, MIT Press, p. 278

Narahari Y. (2015) Game Theory and Mechanism Design, World Scientific Publishing, p. 407

Examples

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


library(CoopGame)
v=c(0,1,2,3,4,5,6)

#Point belongs to imputation set:
belongsToImputationset(x=c(1.5,1,3.5),v)

#Point does not belong to imputation set:
belongsToImputationset(x=c(2.05,2,2),v)

CoopGame documentation built on Aug. 24, 2021, 1:07 a.m.