Presentation is loading. Please wait.

Presentation is loading. Please wait.

Efficient Voting via the Top-k Elicitation Scheme: A Probabilistic Approach Joel Oren, University of Toronto Joint work with Yuval Filmus, Institute of.

Similar presentations


Presentation on theme: "Efficient Voting via the Top-k Elicitation Scheme: A Probabilistic Approach Joel Oren, University of Toronto Joint work with Yuval Filmus, Institute of."— Presentation transcript:

1 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

2 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

3 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.

4 Basic Definitions 4 Borda Harmonic Geometric

5 5

6 Previous Work 6

7 7

8 Three Distributional Models (and high-level Results) 8

9 9

10 Empirical Results for the three algorithms 10 FairCutoff overlaps with Opt

11 A Threshold Theorem for PSRs 11

12 Applications 12

13 Proof Sketch – Order Statistics of Correlated RVs 13

14 Proof Sketch (continued) 14

15 15

16 The Adversarial Model 16

17 17

18 Conclusions & Future Directions 18 Scoring rule LBUB Borda Harmonic Geometric Copeland

19 Contact: oren@cs.toronto.edu Homepage: www.cs.toronto.edu/~oren oren@cs.toronto.edu Thank you! 19


Download ppt "Efficient Voting via the Top-k Elicitation Scheme: A Probabilistic Approach Joel Oren, University of Toronto Joint work with Yuval Filmus, Institute of."

Similar presentations


Ads by Google