f38-math-and-elections

F38-math-and-electio - Math and Elections A Lesson in the Math Fun Series Nov 2004 Math and Elections Slide 1 About This Presentation This

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Nov. 2004 Math and Elections Slide 1 Math and Elections A Lesson in the “Math + Fun!” Series
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Nov. 2004 Math and Elections Slide 2 About This Presentation Edition Released Revised Revised First Nov. 2004 This presentation is part of the “Math + Fun!” series devised by Behrooz Parhami, Professor of Computer Engineering at University of California, Santa Barbara. It was first prepared for special lessons in mathematics at Goleta Family School during the 2003-04 and 2004-05 school years. The slides can be used freely in teaching and in other educational settings. Unauthorized uses are strictly prohibited. © Behrooz Parhami
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Nov. 2004 Math and Elections Slide 3 We Vote to Choose Our Leaders or Indicate Our Preferences Who would you like to be our president (senator, school board member) for the next few years? George Bush John Kerry David Cobb Ralph Nader Apple juice Orange juice Grape juice Milk What type of drink should the cafeteria serve with school lunches this year?
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Nov. 2004 Math and Elections Slide 4 We Use Different Voting Methods Marked ballot with optical reading Write-in ballot with manual counting Computerized touch-screen voting Punched-card or punched-paper ballot processed by special reader devices
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Nov. 2004 Math and Elections Slide 5 Isn’t Counting All There Is to Voting? 20 kids voting O O O O O M M M M M M M M G G G A A A A 4 prefer apple juice 5 prefer orange juice 3 prefer grape juice 8 prefer milk
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Nov. 2004 Math and Elections Slide 6 True, When We Have Only 2 Choices George Bush John Kerry Apple juice Orange juice Blank or doubly marked votes do not count Only one possible complication: tie votes (no winner, prop fails) Proposition 71: Yes No Things get tricky as soon as we go to three or more choices In 1952, mathematical economist Kenneth Arrow proved that there is no consistent method of making a fair choice among 3 or more candidates
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This note was uploaded on 12/29/2011 for the course MATH 34 taught by Professor Wei during the Fall '07 term at UCSB.

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F38-math-and-electio - Math and Elections A Lesson in the Math Fun Series Nov 2004 Math and Elections Slide 1 About This Presentation This

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