MATH151 Test #3
Mathematics 151 with Douma at University of Sioux Falls
About this deck
By: ethan amdahl
Textbook:
For All Practical Purposes: Mathematical Literacy in Today's World
Created: 2010-11-13
Size: 17 flashcards
Views: 65
Textbook:
For All Practical Purposes: Mathematical Literacy in Today's WorldCreated: 2010-11-13
Size: 17 flashcards
Views: 65
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Fairness Axioms
1. all voters are treated equally, if two voters swapped ballots the same candidate show still win.
2. all candidates are treated equally
3. all candidates are treat equally
Election is monotone if?
a voter switches his or her ballot from loser to winner, same candidate should still win.
Dictatorship
one voter has all the power
Imposed rule
one candidate asserts power
Minority rule
opposite of majority rule
Condercet's method
the candidate who beats all other candidates face-to-face under majority rule should be the winner
May's Theorem
among all two candidate voting systems that never result in a tie, majority rule is the only one that treats all voters equally. treats both candidates equally, and is monotone.
Manipulability
a voting system this subject to manipulability it there are elections in which it is to a voter's advantage to submit a ballot that misrepresents his or her true preferences.
IIA (independence of irrevelant alternatives
IIA is possible when candidate B moves from nonwinner status to winner status unless at least one voter reverses the in he or she had B and the winning candidate ranked.
A voter is critical when?
the coalition falls when that particular voter leaves
Banzhaf Voting Power Index
measures actual voting power
power = # of times you are critical
Shapley-Shubik Power Index
power = number times a voter is pivotal
What are the Fairness Axioms?
- proportional
- equitable
- envy free
- pareto optimal
Name the paradoxes
- Population
- New states
- Alambama
Define the New States paradox
If the number of representatives is increased to accommodate a new state, by the exact amount that the new state is entitled to, The other existing states may lose/gain states in the process.
What is a dictator?
A participant in the voting system who can pass any issue even if all other voters oppose it and block issue if all other voters approve it.
Define the adjusted winner
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About this deck
By: ethan amdahl
Textbook: For All Practical Purposes: Mathematical Literacy in Today's World
Created: 2010-11-13
Size: 17 flashcards
Views: 65
Textbook:
For All Practical Purposes: Mathematical Literacy in Today's WorldCreated: 2010-11-13
Size: 17 flashcards
Views: 65
About StudyBlue
STUDYBLUE makes things that make you better at school.
Things like online flashcards with photos and audio.
Things like personalized quizzes and friendly reminders about when (and what) to study next.
Think of it as a digital backpack™: access to all of your study materials online and on your phone.
STUDYBLUE exists to make studying efficient and effective for every student, for free. Join us.
“I have used this website for three exams, and I see a huge difference in my test results.”
Naj
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