A sufficient condition for voting rules to be frequently manipulable
Proceedings of the 9th ACM conference on Electronic commerce
Elections Can be Manipulated Often
FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
Frequent Manipulability of Elections: The Case of Two Voters
WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
A Quantitative Version of the Gibbard-Satterthwaite Theorem for Three Alternatives
SIAM Journal on Computing
A quantitative gibbard-satterthwaite theorem without neutrality
STOC '12 Proceedings of the forty-fourth annual ACM symposium on Theory of computing
Generalized scoring rules: a framework that reconciles Borda and Condorcet
ACM SIGecom Exchanges
Annals of Mathematics and Artificial Intelligence
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We review recent research on quantitative versions of the Gibbard-Satterthwaite theorem, which analyze the average-case manipulability of elections. The main message of these results is that computational hardness cannot hide manipulations completely. We conclude with open problems.