Twisted Duality

Author(s):  
Philippe Tondeur
Keyword(s):  
2002 ◽  
Vol 43 (8) ◽  
pp. 4158-4179 ◽  
Author(s):  
Hellmut Baumgärtel ◽  
Matthias Jurke ◽  
Fernando Lledó
Keyword(s):  

2012 ◽  
Vol 364 (3) ◽  
pp. 1529-1569 ◽  
Author(s):  
Joanna A. Ellis-Monaghan ◽  
Iain Moffatt

2018 ◽  
Vol 6 ◽  
Author(s):  
Nicolas Boulanger ◽  
Andrea Campoleoni ◽  
Ignacio Cortese ◽  
Lucas Traina
Keyword(s):  

2007 ◽  
Vol 09 (02) ◽  
pp. 285-306 ◽  
Author(s):  
KENSAKU KIKUTA

We define a duality of solutions in coalitional games that we call a twisted duality. This twisted duality extends the rule of self-duality in bankruptcy problems. After showing that the prekernel and prenucleolus exhibit twisted duality, we define a twisted reduced game property and characterize the prekernel and prenucleolus by axioms including this property. We note that the Shapley value satisfies twisted duality, and we define another twisted reduced game property by and characterize the Shapley value by axioms including this property.


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