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dc.contributor.authorMueller, David
dc.identifier.citationMueller, D. A Reply to Ponte et al (2016) Supply Chain Collaboration: Some Comments on the Nucleolus of the Beer Game. "Journal of Industrial Engineering and Management", Setembre 2018, vol. 11, núm. 3, p. 528-534.
dc.description.abstractPurpose: The aim of the paper is to pick up the result of a previously published paper in order to deepen the discussion. We analyze the solution against the background of some well-known concepts and we introduce a newer one. In doing so we would like to inspire the further discussion of supply chain collaboration. Design/methodology/approach: Based on game theoretical knowledge we present and compare seven properties of fair profit sharing. Findings: We show that the nucleolus is a core-solution, which does not fulfil aggregate monotonicity. In contrast the Shapley value is an aggregate monotonic solution but does not belong to the core of every cooperative game. Moreover, we present the Lorenz dominance as an additional fairness criteria. Originality/value: We discuss the very involved procedure of establishing lexicographic orders of excess vectors for games with many players.
dc.format.extent7 p.
dc.rightsAttribution-NonCommercial 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Economia i organització d'empreses::Direcció d'operacions::Modelització de transports i logística
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
dc.subject.lcshBusiness logistics
dc.subject.lcshCooperative games (Mathematics)
dc.subject.otherBeer game
dc.subject.otherCooperative game theory
dc.subject.otherProfit allocation
dc.subject.otherShapley value
dc.subject.otherAggregate monotonicity
dc.subject.otherLorenz set
dc.titleA Reply to Ponte et al (2016) Supply Chain Collaboration: Some Comments on the Nucleolus of the Beer Game
dc.subject.lemacLogística (Indústria)
dc.subject.lemacJocs cooperatius (Matemàtica)
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
local.citation.publicationNameJournal of Industrial Engineering and Management

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Attribution-NonCommercial 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial 3.0 Spain