Condorcet's Paradox with Three Candidates

Abstract

The book is a compilation of the research that has been conducted in the study of Condorcet's Paradox for two centuries. It begins with a historical overview of the discovery of Condorcet's Paradox in the 18th Century, provides an exhaustive survey of numerous empirical studies that have been conducted to find actual occurrences of the paradox, and compiles all of the research that has been done to develop mathematical representations for the probability that the paradox will be observed. The book is unique since it focuses attention strictly on this one voting paradox, and it combines all of the different approaches that have been used to study this very interesting phenomenon.