@article{3bf40cbc94c147c28249d19fe55c019f,
title = "Hart and Mas-Colell consistency in PERT problems",
abstract = "The Program Evaluation Review Technique (PERT) is a tool used to schedule and coordinate activities in a complex project. In assigning the cost of a potential delay, we characterize the Shapley rule as the only rule that satisfies Hart and Mas-Colell consistency and other desirable properties.",
keywords = "Consistency, Delay, PERT problem",
author = "Gustavo Berganti{\~n}os and Alfredo Valencia-Toledo and Juan Vidal-Puga",
note = "Funding Information: A. Valencia-Toledo thanks the Ministry of Education of Peru for its financial support through the “Beca Presidente de la Rep{\'u}blica” grant of the “Programa Nacional de Becas y Cr{\'e}dito Educativo (PRONABEC)”.G. Berganti{\~n}os is partially supported by research grant 19320/PI/14 from Fundaci{\'o}n S{\'e}neca de la Regi{\'o}n de Murcia . G. Berganti{\~n}os and J. Vidal-Puga are partially supported by research grant GRC 2015/014 from Xunta de Galicia . G. Berganti{\~n}os, J. Vidal-Puga, and A. Valencia-Toledo are partially supported by research grant ECO2014-52616-R from the Spanish Ministerio de Econom{\'i}a y Competitividad. We also thank an anonymous referee for his/her valuable comments. Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",
year = "2018",
month = jul,
day = "10",
doi = "10.1016/j.dam.2017.08.012",
language = "American English",
volume = "243",
pages = "11--20",
journal = "Discrete Applied Mathematics",
issn = "0166-218X",
publisher = "Elsevier",
}