Title: Proportional egalitarian core solution for profit allocation games with an application to collaborative transportation planning

Authors: Bo Dai; Haoxun Chen

Addresses: Department of Automation, School of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, No. 800 Dongchuan Rd., Shanghai, 200240, China; Department of Operations Management, Zoomlion Co., Ltd., No. 361, South Yinpen Rd., Changsha, Hunan, 410013, China ' Laboratoire d'optimization des Systèmes Industriels (LOSI), Institut Charles Delaunay (ICD) and UMR CNRS 6281, Université de Technologie de Troyes, 12 rue Marie Curie, 10004, Troyes Cedex, France

Abstract: For a profit allocation game, one key issue is to find a fair allocation of profit among its players. In this paper, a proportional egalitarian core solution is proposed, which defines in the core of a game an allocation that takes account of each player's contribution to the grand coalition. This solution concept generalises the egalitarian core solution for cooperative games. To efficiently compute the new solution, a row generation method is developed. The applicability of this new solution concept and the row generation method is demonstrated by an application to a carrier collaboration problem with numerical experiment results. [Received 12 November 2012; Revised 30 July 2013; Accepted 08 September 2013]

Keywords: profit allocation games; game theory; cooperative games; collaborative planning; transport planning; carrier collaboration; row generation; egalitarian core solution.

DOI: 10.1504/EJIE.2015.067456

European Journal of Industrial Engineering, 2015 Vol.9 No.1, pp.53 - 76

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 12 Feb 2015 *

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