Kimms, Alf; Drechsel, Julia:
Cost Sharing under Uncertainty: An Algorithmic Approach to Cooperative Interval-Valued Games
In: Business Research, Jg. 2009, Heft 2, S. 206 - 213
2009Artikel/Aufsatz in Zeitschrift
WirtschaftswissenschaftenMercator School of Management - Fakultät für BetriebswirtschaftslehreZentrale wissenschaftliche Einrichtungen » Zentrum für Logistik und Verkehr (ZLV)
OA
Titel in Englisch:
Cost Sharing under Uncertainty: An Algorithmic Approach to Cooperative Interval-Valued Games
Autor(in):
Kimms, AlfLSF; Drechsel, Julia
Erscheinungsjahr
2009
DOI:
Sprache des Textes
Englisch
Schlagwort, Thema:
cooperative game theory ; core ; interval-valued games ; mathematical programming ; lot-sizing

Abstract in Englisch:

Recently, Branzei, Dimitrov, and Tijs (2003) introduced cooperative interval-valued games. Among other insights, the notion of an interval core has been coined and proposed as a solution concept for interval-valued games. In this paper we will present a general mathematical programming algorithm which can be applied to find an element in the interval core. As an example, we discuss lot sizing with uncertain demand to provide an application for interval-valued games and to demonstrate how interval core elements can be computed. Also, we reveal that pitfalls exist if interval core elements are computed in a straightforward manner by considering the interval borders separately.