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A parameterized characterization of height-based total extensions of Principal filtral opportunity rankings is provided and shown to include as a special case a version of the well-known Pattanaik-Xu characterization of the cardinality-based ranking
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It is shown that Perfect Secret Sharing Schemes are Simple Weak Effectivity Functions. Namely, for any finite set K of keys and any finite set N of participants the set of all Perfect Secret Sharing Schemes having O-normaliaed security level #K - 1 is characterized as the set of all Simple Weak...
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