RAIRO Oper. Res. 41 (2007) 345-360
DOI: 10.1051/ro:2007034

Cooperative networks games with elastic demands

Alain Quilliot, Fatiha Bendali and Jean Mailfert

Laboratoire LIMOS-CNRS UMR 6158, Université de Clermont II Complexe Scientifique des Cézeaux 63177 Aubière Cedex, France; quilliot@isima.fr, bendali@math.univ-bpclermont.fr, jean.mailfert@u-clermont1.fr

(Received December 1st, 2005. Accepted November 11, 2006. Published online 11 October 2007.)

Abstract
We present here a pricing model which is an extension of the cooperative game concept and which includes a notion of elastic demand. We present some existence results as well as an algorithm, and we conclude by discussing a specific problem related to network pricing.

Mathematics Subject Classification. 91A12, 91B24

Key words: Cooperative games, pricing, fixed point, network design


© EDP Sciences, ROADEF, SMAI 2007