toThere are several excellent books, which discuss different aspects of ranking, from the mathematical algorithms to ranking academic institutions, countries or political candidates.
The book Who’s #1?: The Science of Rating and Ranking written by the mathematicians Amy N. Langville and Carl D. Meyer (Princeton Univ. Press, 2012) grew up from the authors’ studies on mining the Web, and offer a broad overview on the mathematical algorithms and methods used to rate and rank sports teams, political candidates, products, Web pages etc., and is naturally located on a shelf for math books.
Engines of Anxiety: Academic Rankings, Reputation, and Accountability (Russel Sage, 2016) by two sociologists, Wendy Nelson Espeland and Michael Sauder analyzes the history and present practice of evaluation and ranking of the quality of higher education institution, particularly law schools. Ranking not only reflects but also shapes social hierarchy. The book well demonstrates our paradoxical emotions to ranking, quantification of performance are both needed very much and also source of anxiety.
Rather parallelly, Ranking the World: Grading States as a Tool of Global Governance (Cambridge Univ. Press, 2015) edited by Alexander Cooley and Jack Snyder (Editors) describes our paradoxical emotions to ranking. International ranking of states performance are characterized by about hundred different indices, from ”Human Freedom Index” via ”Corruption Perceptions Index” to ”World Happiness”. The pattern is that ranking organizations are not totally independent, and some ranked countries (say, China and Russia) occasionally reacted angrily to the performance analysis, still they are interested in the result.
Majority Judgment: Measuring, Ranking, and Electing (MIT Press, 2011) by by Michel Balinski and Rida Laraki is about ranking political candidates, and the authors argue that ”The intent of this book is to show why the majority judgment is superior to any known method of voting and to any known method of judging competitions.”
I was somewhat positively surprised that the narrative of all the three social science books seems to be conform with the take away of my own planned book: we like ranking with the hope that it reflects objectivity, but frequently the objectivity is illusion only, and might be subject to manipulation. The challenge is to write a popular, easily readable integrative book on ranking and rating in accordance with both the modern theories of social and computational sciences and the everyday’s experience