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In order to minimize biased opinions in a voting system, we use fairness criteria to measure the "fairness" of a particular voting system. In a formal mathematical treatment, we can define the mathematical meaning of the word "fairness" according to these criteria. | In order to minimize biased opinions in a voting system, we use fairness criteria to measure the "fairness" of a particular voting system. In a formal mathematical treatment, we can define the mathematical meaning of the word "fairness" according to these criteria. | ||
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Revision as of 08:31, 28 November 2013
Contents
Ballots: what is out there?
A team project for MA279, Fall 2013
Team members: Qianyu Deng, Sui Fang, Weichen Gai, Chenkai Wang, Bolun Zhang
Introduction
According to Wikipedia, a ballot is a device used to cast votes in an election. The main purpose of using ballots is to record the opinions of electorates and their preferences of the candidates. The goal is to determine a winner from the candidates. Ballots come in many physical forms, such as a piece of paper or a digital document stored in a computer. The actual format of a ballot is called voting system or voting method. In this study, we will study how various voting systems are designed and reveal the mathematical reasons in designing these voting systems.
Fairness Criteria
In order to minimize biased opinions in a voting system, we use fairness criteria to measure the "fairness" of a particular voting system. In a formal mathematical treatment, we can define the mathematical meaning of the word "fairness" according to these criteria.
Transitivity
Method 1
- Background
- Method
- Abortion reason
Method 2
- Background
- Method
- Abortion reason
Method 3
- Background
- Method
- Abortion reason
Conclusion
Bibliography
- Ballots. Retrieved from Wikipedia: http://en.wikipedia.org/wiki/Ballot
