To 'analyse' means to break into components and understand. But new readers find modern mathematical theories of politics so inaccessible that analysis is difficult. Where does one start? Analytical Politics is an introduction to analytical theories of politics, explicitly designed both for the interested professional and students in political science. We cannot evaluate how well governments perform without some baseline for comparison: what should governments be doing? This book focuses on the role of the 'center' in politics, drawing from the classical political theories of Aristotle, Hobbes, Rousseau, and others. The main questions in Analytical Politics involve the existence and stability of the center; when does it exist? When should the center guide policy? How do alternative voting rules help in discovering the center? An understanding of the work reviewed here is essential for anyone who hopes to evaluate the performance or predict the actions of democratic governments.