On 1-convexity and nucleolus of co-insurance games

Driessen, Theo S.H. and Fragnelli, Vito and Katsev, Ilya V. and Khmelnitskaya, Anna B. (2011) On 1-convexity and nucleolus of co-insurance games. Insurance: Mathematics and Economics, 48 (2). pp. 217-225. ISSN 0167-6687

PDF
Restricted to UT campus only: Request a copy
289Kb

Abstract:	The insurance situation in which an enormous risk is insured by a number of insurance companies is modeled through a cooperative TU game, the so-called co-insurance game, first introduced in Fragnelli and Marina (2004). In this paper we present certain conditions on the parameters of the model that guarantee the 1-convexity property of co-insurance games which in turn ensures the nonemptiness of the core and the linearity of the nucleolus as a function of the variable premium. Further we reveal conditions when a co-insurance game is representable in the form of a veto-removed game and present an efficient final algorithm for computing the nucleolus of a veto-removed game.
Item Type:	Article
Copyright:	© 2011 Elsevier
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Discrete Mathematics and Mathematical Programming (DMMP)
Link to this item:	http://purl.utwente.nl/publications/75869
Official URL:	http://dx.doi.org/10.1016/j.insmatheco.2010.10.009
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page

Metis ID: 277518