# Ch 7: The Mathematics of Voting

Watch online video lessons to learn about preference ballots, the Borda count method, Arrow's impossibility theorem and more. Each lesson is accompanied by a short quiz you can use to check your understanding of these math topics.

## The Mathematics of Voting - Chapter Summary and Learning Objectives

Let our experienced instructors show you why the mathematics of voting are about more than just counting the nods in favor of a particular candidate. We'll introduce you to several methods used to measure voter preferences along with the mathematical criteria used to compare them. You can also learn how each of these voting systems is constructed though video lessons designed to teach you about:

• Types of election ballots
• Differences between voting methods
• Voting system criteria
• Arrow's impossibility theorem

Video Objectives
What Are Preference Ballots and Preference Schedules? Learn what preference ballots are and why they differ from linear ballots. Find out how they're used to create preference schedules.
The Plurality Method in Elections Explore the ins and outs of this voting method by studying such concepts as majority rule, the Condorcet criterion and strategic voting.
The Borda Count Method in Elections Examine the steps required to implement this system of voting.
The Plurality-with-Elimination Election Method Learn how this method differs from the plurality method. Discover some aspects of the monotonicity criterion.
The Pairwise Comparison Method in Elections Find out what the pairwise comparison method entails. Learn what's required to meet the independence of irrelevant alternatives criterion.
Ranking Candidates: Recursive & Extended Ranking Methods Compare recursive and extended methods for ranking candidates.
Arrow's Impossibility Theorem & Its Use in Voting Discover how Arrow's impossibility theorem is applied to voting methods.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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