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Efficient Voting via the Top-k Elicitation Scheme: A Probabilistic Approach Joel Oren, University of Toronto Joint work with Yuval Filmus, Institute of Advanced Study 1
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Motivation Common theme: communication-efficient group decision- making. How to pick the single “best” item/candidate, without extracting too much information from the customers/committee members. Hiring committees: members can’t rank all of the candidates. Too many candidates. Committee members may only be familiar with just subsets of candidates in their own fields. 2
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The Basic Setting 3 1.A canonical task: select the “best” outcome. 2.What is the information need for doing so. 1.Social choice: methods for aggregating preferences. 2.Efficient preference elicitation.
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Basic Definitions 4 Borda Harmonic Geometric
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Previous Work 6
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Three Distributional Models (and high-level Results) 8
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Empirical Results for the three algorithms 10 FairCutoff overlaps with Opt
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A Threshold Theorem for PSRs 11
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Applications 12
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Proof Sketch – Order Statistics of Correlated RVs 13
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Proof Sketch (continued) 14
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The Adversarial Model 16
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Conclusions & Future Directions 18 Scoring rule LBUB Borda Harmonic Geometric Copeland
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Contact: oren@cs.toronto.edu Homepage: www.cs.toronto.edu/~oren oren@cs.toronto.edu Thank you! 19
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