Manipulating Stochastically Generated Single-Elimination Tournaments for Nearly All Players

  • Isabelle Stanton
  • Virginia Vassilevska Williams
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7090)

Abstract

We study the power of a tournament organizer in manipulating the outcome of a balanced single-elimination tournament by fixing the initial seeding. This problem is known as agenda control for balanced voting trees. It is not known whether there is a polynomial time algorithm that computes a seeding for which a given player can win the tournament, even if the match outcomes for all pairwise player match-ups are known in advance. We approach the problem by giving a sufficient condition under which the organizer can always efficiently find a tournament seeding for which the given player will win the tournament. We then use this result to show that for most match outcomes generated by a natural random model attributed to Condorcet, the tournament organizer can very efficiently make a large constant fraction of the players win, by manipulating the initial seeding.

Keywords

Match Outcome Social Choice Theory Strong Player Computational Social Choice Vote Tree 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Isabelle Stanton
    • 1
  • Virginia Vassilevska Williams
    • 1
  1. 1.Computer Science DepartmentUC BerkeleyUSA

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