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Quasi-Owen Value for Games on Augmenting Systems with a Coalition Structure
Volume 34, Issue 3 (2023), pp. 635–663
Pub. online: 25 August 2023      Type: Research Article      Open accessOpen Access
Received
1 February 2023
Accepted
1 August 2023
Published
25 August 2023

Abstract

This paper focuses on games on augmenting systems with a coalition structure that can be seen as an extension of games with a coalition structure and games on augmenting systems. Considering the player payoffs, the quasi-Owen value is defined. To show the rationality of this payoff index, five representative axiomatic systems are established. The population monotonic allocation scheme (PMAS) and the core are introduced. Moreover, the relationships between the PMAS and quasi-Owen value as well as the core and quasi-Owen value are discussed. Finally, an illustrative example is given to show the concrete application of the new payoff indices.

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Biographies

Tang Jie
tang_112017@163.com

J. Tang received the MS degree from Qingdao Technological University in 2008 and the PhD degree from Central South University in 2020. Currently, she is an associated professor in Nanjing University of Information Science and Technology Nanjing. Her research interests include game theory, decision making and preference relation. At present, she has published more than 30 papers.

Li Zijun
lizijun1127@csu.edu.cn

Z. Li is carrying out her PhD degree in School of Business, Central South University. She received his master degree in Chongqing University in 2016. Her research interests include fuzzy game, stochastic game and decision making. At present, she has published 3 papers.

Meng Fanyong
mengfanyongtjie@163.com

F. Meng received the MS degree from Guangxi University in 2008 and the PhD degree from Beijing Institute of Technology, China in 2011. From 2014 to 2016, he was a Post-Doctoral Researcher with the School of Business, Central South University. Currently, he is a professor in Nanjing University of Information Science & Technology, and Central South University. His research interests include fuzzy mathematics, decision making and game theory. At present, he has published more than 150 papers.


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© 2023 Vilnius University
Open access article under the CC BY license.

Keywords
cooperative game with a coalition structure augmenting system axiomatic system quasi-Owen value

Funding
This work was supported by the National Natural Science Foundation of China (No. 72371134), the Ministry of Education Humanities and Social Science Foundation of China (No. 22YJ630061), the Research Institute for Risk Governance and Emergency Decision-Making, Nanjing University of Information Science & Technology, and the Startup Foundation for Introducing Talent of NUIST (No. 2020r001).

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