lecture_2_&_3_-_aggregation,_cycling,_arrow's_theorem_1.9_&_1.14.07

Lecture_2_&_3_-_aggregation,_cycling,_arrow's_theorem_1.9_&_1.14.07

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Unformatted text preview: 1 Questions? 2 U.S. Presidential Nomination Process What are primaries? Caucuses? How do they each work? What has happened so far in 2008? Differences between Democratic & Republican caucuses in Iowa? Open, closed, semi-open primary? What is New Hampshire? How do you get the nomination of your party? How do you get delegates (and what are they)? 3 Problem of Aggregation of Individual Preferences What is the problem? Without unanimity, what is the will of the people? We have individual preferences But when we aggregate our preferences, the outcome is not always clear 4 Group Preferences Hard to speak of a group as having preferences Groups can reach different decisions based on different procedures they use Assuming we follow pre-determined procedures, These outcomes are in some sense fair 5 Reality Show Face Off! Contestants Kelly Clarkson (American Idol) Boston-Rob (Survivor) Puck (Real World) Bruno (Dancing with the Stars) Matt Gould (Joe Schmo) 6 Preferences 1. Kelly, Bruno, Boston-Rob, Puck, Matt-Gould 2. Boston-Rob, Bruno, Kelly, Puck, Matt-Gould 3. Boston-Rob, Bruno, Kelly, Puck, Matt-Gould 4. Kelly, Bruno, Boston-Rob, Puck, Matt-Gould 5. Boston-Rob Bruno Kelly, Puck, Matt-Gould 6. Matt-Gould, Bruno, Kelly, Boston-Rob, Puck 7. Matt-Gould, Bruno, Boston-Rob, Kelly, Puck 8. Matt-Gould, Bruno, Kelly, Boston-Rob, Puck 9. Puck, Matt-Gould, Bruno, Kelly, Boston-Rob 10.Matt-Gould, Puck, Bruno, Boston-Rob, Kelly Who should be the winner? Why? 7 Plurality Who wins? 1. Kelly, Bruno, Boston-Rob, Puck, Matt-Gould 2. Boston-Rob, Bruno, Kelly, Puck, Matt-Gould 3. Boston-Rob, Bruno, Kelly, Puck, Matt-Gould 4. Kelly, Bruno, Boston-Rob, Puck, Matt-Gould 5. Boston-Rob Bruno Kelly, Puck, Matt-Gould 6. Matt-Gould, Bruno, Kelly, Boston-Rob, Puck 7. Matt-Gould, Bruno, Boston-Rob, Kelly, Puck 8. Matt-Gould, Bruno, Kelly, Boston-Rob, Puck 9. Puck, Matt-Gould, Bruno, Kelly, Boston-Rob 10.Matt-Gould, Puck, Bruno, Boston-Rob, Kelly 8 Plurality Matt Gould 1. Kelly , Bruno, Boston-Rob, Puck, Matt-Gould 1. Boston-Rob , Bruno, Kelly, Puck, Matt-Gould 2. Boston-Rob , Bruno, Kelly, Puck, Matt-Gould 1. Kelly , Bruno, Boston-Rob, Puck, Matt-Gould 1. Boston-Rob Bruno Kelly, Puck, Matt-Gould 1. Matt-Gould , Bruno, Kelly, Boston-Rob, Puck 2. Matt-Gould , Bruno, Boston-Rob, Kelly, Puck 3. Matt-Gould , Bruno, Kelly, Boston-Rob, Puck 1. Puck , Matt-Gould, Bruno, Kelly, Boston-Rob 1. Matt-Gould , Puck, Bruno, Boston-Rob, Kelly 9 American Idol Who Wins? 1. Kelly, Bruno, Boston-Rob, Puck, Matt-Gould 2. Boston-Rob, Bruno, Kelly, Puck, Matt-Gould 3. Boston-Rob, Bruno, Kelly, Puck, Matt-Gould 4. Kelly, Bruno, Boston-Rob, Puck, Matt-Gould 5. Boston-Rob Bruno Kelly, Puck, Matt-Gould 6. Matt-Gould, Bruno, Kelly, Boston-Rob, Puck 7. Matt-Gould, Bruno, Boston-Rob, Kelly, Puck 8. Matt-Gould, Bruno, Kelly, Boston-Rob, Puck 9. Puck, Matt-Gould, Bruno, Kelly, Boston-Rob 10.Matt-Gould, Puck, Bruno, Boston-Rob, Kelly 10...
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Lecture_2_&_3_-_aggregation,_cycling,_arrow's_theorem_1.9_&_1.14.07

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