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author:

Liang, Kai-Rong (Liang, Kai-Rong.) [1] | Li, Deng-Feng (Li, Deng-Feng.) [2] | Li, Kevin W. (Li, Kevin W..) [3] | Liu, Jia-Cai (Liu, Jia-Cai.) [4]

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Abstract:

This paper develops an interval noncooperative-cooperative biform game (referred to as the interval biform game in short hereafter) model that accounts for both strategy choice and coalition formation while also addressing profit allocation with interval coalition characteristic values. This interval biform game consists of four elements: a finite set of players, their strategy choices, coalitions, and interval coalition characteristic functions, and contains both noncooperative and cooperative parts. The payoffs of different strategies are not directly given a priori in the noncooperative part but obtained by solving interval cooperative games in the cooperative part. To solve the interval cooperative game, we extend a real-valued weighted equal contribution division (WECD) approach to an interval-valued version. Subsequently, an interval acceptability degree comparison method is introduced to compare the interval payoff values. We then establish existence and necessary conditions of pure strategy Nash equilibriums and derive a condition for a Nash equilibrium to be efficient in an interval biform game. Finally, numerical examples are furnished to illustrate the validity and applicability of the proposed framework. © 2022 Elsevier Inc.

Keyword:

Artificial intelligence Game theory

Community:

  • [ 1 ] [Liang, Kai-Rong]School of Economics and Management, Fuzhou University, Fuzhou; 350116, China
  • [ 2 ] [Li, Deng-Feng]School of Management and Economics, University of Electronic Science and Technology of China, Chengdu; 611731, China
  • [ 3 ] [Li, Kevin W.]Odette School of Business, University of Windsor, Windsor; ON; N9B 3P4, Canada
  • [ 4 ] [Liu, Jia-Cai]School of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, Fuzhou; 350002, China

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Source :

Information Sciences

ISSN: 0020-0255

Year: 2023

Volume: 619

Page: 172-192

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JCR@2023

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JCR@2023

ESI HC Threshold:32

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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