Abstract

Given an unknown tournament over { 1 , … , n } , we show that the query complexity of the question “Is there a vertex with outdegree n − 1 ?” (known as a Condorcet winner in social choice theory) is exactly 2 n − ⌊ log ( n ) ⌋ − 2 . This stands in stark contrast to the evasiveness of this property in general digraphs.

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