Abstract
The recent result of Friedgut, Kalai and NisanĀ [9] gives a quantitative version of the Gibbard-Satterthwaite Theorem regarding manipulation in elections, but holds only for neutral social choice functions and three alternatives. We complement their theorem by proving a similar result regarding Pareto-Optimal social choice functions when the number of voters is two. We discuss the implications of our results with respect to the agenda of precluding manipulation in elections by means of computational hardness.
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Dobzinski, S., Procaccia, A.D. (2008). Frequent Manipulability of Elections: The Case of Two Voters. In: Papadimitriou, C., Zhang, S. (eds) Internet and Network Economics. WINE 2008. Lecture Notes in Computer Science, vol 5385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92185-1_71
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DOI: https://doi.org/10.1007/978-3-540-92185-1_71
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