A reply to Ponte et al (2016) Supply chain collaboration: Some comments on the nucleolus of the beer game

Artikel

Purpose: 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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Journal of Industrial Engineering and Management (JIEM) ; ISSN: 2013-0953 ; Volume: 11 ; Year: 2018 ; Issue: 3 ; Pages: 528-534 ; Barcelona: OmniaScience

Classification and Topics

• Classification: Management
• Subject: beer game ; cooperative game theory ; profit allocation ; Shapley value ; nucleolus ; core-selection ; aggregate monotonicity ; Lorenz set

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Müller, David
• Event: Veröffentlichung
• (who): OmniaScience
• (where): Barcelona
• (when): 2018

Further information

• DOI: doi:10.3926/jiem.2430
• Handle: http://hdl.handle.net/10419/188879
• Last update: 10.03.2025, 11:42 AM CET