The Mathematics of Politics

It is because mathematics is often misunderstood, it is commonly

 

believed it has nothing to say about politics. The high school

 

experience with mathematics, for so many the lasting impression

 

of the subject, suggests that mathematics is the study of numbers,

 

operations, formulas, and manipulations of symbols. Those

 

believing this is the extent of mathematics might conclude

 

mathematics has no relevance to politics. This book counters this impression.

 

The second edition of this popular book focuses on mathematical reasoning

 

about politics. In the search for ideal ways to make certain kinds

 

of decisions, a lot of wasted effort can be averted if mathematics can determine that

 

finding such an ideal is actually impossible in the first place.

 

In the first three parts of this book, we address the following three

 

political questions:

 

(1) Is there a good way to choose winners of elections?

 

(2) Is there a good way to apportion congressional seats?

 

(3) Is there a good way to make decisions in situations of conflict and

 

uncertainty?

 

In the fourth and final part of this book, we examine the Electoral

 

College system that is used in the United States to select a president.

 

There we bring together ideas that are introduced in each of the three

 

earlier parts of the book.