A Generalized Möbius Transform of Games on MV-algebras and Its Application to a Cimmino-type Algorithm for the Core
Tomáš Kroupa · Contemporary mathematics - American Mathematical Society · 2012
A generalization of the Möbius transform of games with finitely many players is introduced for games on MV-algebras. The variety of MV-algebras subsumes most coalition models. We characterize the class of games for which the generalized Möbius transform exists. An application of the proposed transform to a Cimmino-type algorithm is shown for the core solution in games with finitely-many players.