AAAI Publications, Twenty-Second International Joint Conference on Artificial Intelligence

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Choosing Collectively Optimal Sets of Alternatives Based on the Condorcet Criterion
Edith Elkind, Jérôme Lang, Abdallah Saffidine

Last modified: 2011-06-28


In elections, an alternative is said to be a Condorcet winner if it is preferred to any other alternative by a majority of voters. While this is a very attractive solution concept, many elections do not have a Condorcet winner. In this paper, we propose a setvalued relaxation of this concept, which we call a Condorcet winning set: such sets consist of alternatives that collectively dominate any other alternative. We also consider a more general version of this concept, where instead of domination by a majority of voters we require domination by a given fraction theta of voters; we refer to this concept as theta-winning set. We explore social choice-theoretic and algorithmic aspects of these solution concepts, both theoretically and empirically.

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