Discrete Representation of the Non-dominated Set for Multi-objective Multi-party Negotiation Problems

Lizhen Shao (), Jieyuan Guo, Quanxiu Lv and Shu Liang
Additional contact information
Lizhen Shao: University of Science and Technology Beijing
Jieyuan Guo: University of Science and Technology Beijing
Quanxiu Lv: Guangxi Beitou IT Innovation Technology Investment Group CO., LTD
Shu Liang: Tongji University

Group Decision and Negotiation, 2025, vol. 34, issue 3, No 9, 623-642

Abstract: Abstract In a multi-party negotiation problem, there does not exist an agreement that maximizes the interests of all the negotiators, which leads to a multi-objective optimization problem in nature. For negotiation decision support purposes, Pareto optimal solutions are often obtained to assist the negotiation process. In this paper, we focus on generation of Pareto optimal solutions from the objective space as negotiators are assumed to be interested in making decisions based on the objective values. For a convex multi-objective multi-party negotiation problem with a mediator involved, we propose an objective space projection method to generate Pareto optimal solutions so that their corresponding non-dominated points in the objective space are evenly distributed. The set of the obtained non-dominated points is a discrete representation of the non-dominated set (Pareto frontier). We prove that a certain coverage error and uniformity level of the discrete representation can be guaranteed. Experimental results show that the proposed method can obtain better discrete representations than other methods and it will be beneficial for assisting the negotiation process.

Keywords: Decision support; Multi-party negotiations; Multi-objective optimization; Non-dominated set (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10726-025-09927-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:grdene:v:34:y:2025:i:3:d:10.1007_s10726-025-09927-y

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10726/PS2

DOI: 10.1007/s10726-025-09927-y

Access Statistics for this article

Group Decision and Negotiation is currently edited by Gregory E. Kersten

More articles in Group Decision and Negotiation from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().