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MOULIN REDUCTION, V-N REDUCTION AND AXIOMATIZATIONS OF THE DUPLICATE CORE
Preview AbstractIn this paper, we extend to the multi-choice games cases the reduced games introduced by Moulin (1985) and Voorneveld and van den Nouweland (1998), respectively. Also, we provide several axiomatizations of the duplicate core on multi-choice games by means of the properties of consistency and its converse.
A NOTE ON CLOSEDNESS UNDER MOULIN REDUCTION
Preview AbstractWe will find 3 maximal subclasses with respect to essential, superadditive and convex games, respectively such that a game is in one subclass, so are its reduced games.