Hart and Mas-Colell consistency in PERT problems

Gustavo Bergantiños, Alfredo Valencia-Toledo, Juan Vidal-Puga

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish
Pages (from-to)11-20
Number of pages10
JournalDiscrete Applied Mathematics
StatePublished - 10 Jul 2018
Externally publishedYes

Bibliographical note

Funding Information:
A. Valencia-Toledo thanks the Ministry of Education of Peru for its financial support through the “Beca Presidente de la República” grant of the “Programa Nacional de Becas y Crédito Educativo (PRONABEC)”.G. Bergantiños is partially supported by research grant 19320/PI/14 from Fundación Séneca de la Región de Murcia . G. Bergantiños and J. Vidal-Puga are partially supported by research grant GRC 2015/014 from Xunta de Galicia . G. Bergantiños, J. Vidal-Puga, and A. Valencia-Toledo are partially supported by research grant ECO2014-52616-R from the Spanish Ministerio de Economía y Competitividad. We also thank an anonymous referee for his/her valuable comments.

Publisher Copyright:
© 2017 Elsevier B.V.


  • Consistency
  • Delay
  • PERT problem


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