The Shapley Value on a Class of Cooperative Games Under Incomplete Information

  • Satoshi MasuyaEmail author
Conference paper
Part of the Smart Innovation, Systems and Technologies book series (SIST, volume 56)


In this paper, we study cooperative TU games in which the worths of some coalitions are not known. We investigate superadditive games and the Shapley values on a class of cooperative games under incomplete information. We show that the set of the superadditive complete games and the set of the Shapley values which can be obtained from a given incomplete game are polytopes and propose selection methods of the one-point solution from the set of the Shapley values.


Cooperative game Partially defined cooperative game Superadditive game Shapley value 


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Faculty of Business AdministrationDaito Bunka UniversityTokyoJapan

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