Kimms, Alf; Drechsel, Julia:
Cost sharing under uncertainty : an algorithmic approach to cooperative interval-valued games
2009
In: Business research, Jg. 2009, Heft 2, S. 206 - 213
Artikel/Aufsatz in Zeitschrift2009Wirtschaftswissenschaften
Mercator School of Management - Fakultät für Betriebswirtschaftslehre
Titel:
Cost sharing under uncertainty : an algorithmic approach to cooperative interval-valued games
Autor(in):
Kimms, AlfLSF; Drechsel, Julia
Erscheinungsjahr
2009
WWW URL
Erschienen in:
Titel:
Business research
in:
Jg. 2009, Heft 2, S. 206 - 213
ISSN:

Abstract:

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.