Frequent Manipulability of Elections: The Case of Two Voters

  • Authors:
  • Shahar Dobzinski;Ariel D. Procaccia

  • Affiliations:
  • Hebrew University of Jerusalem, Jerusalem, Israel 91904;Microsoft Israel R&D Center, Herzeliya, Israel 46725

  • Venue:
  • WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
  • Year:
  • 2008

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Abstract

The recent result of Friedgut, Kalai and Nisan [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.