Soft Computing

, Volume 22, Issue 17, pp 5719–5724 | Cite as

Stable set of uncertain coalitional game with application to electricity suppliers problem

  • Yajuan Liu
  • Gang Liu


Coalitional game deals with the situation that involves cooperations among the players. When the payoffs are characterized by uncertain variables, classical coalitional game evolves to uncertain coalitional game. Some solutions of uncertain coalitional game have been proposed such as core and Shapley value. This paper goes further to present another concept of solution—stable set for uncertain coalitional game, and shows that the core is the subset of the stable set in an uncertain coalitional game. Finally, an electricity suppliers cooperation problem is analyzed by the stable set in uncertain coalitional game.


Uncertain variable Coalitional game Stable set Electricity suppliers problem 



Funding was provided by National Natural Science Foundation of China (Grant No. 61374082 ).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Donlinks School of Economics and ManagementUniversity of Science and Technology BeijingBeijingChina
  2. 2.School of Economics and ManagementBeijing Information Science and Technology UniversityBeijingChina
  3. 3.School of InformationRenmin University of ChinaBeijingChina

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