Formal Theories of Politics demonstrates the role of formal mathematical models in political science, and aims to convey a sense of the questions and methods which govern the political science research agenda. While there is still much interest in empirical patterns of voting behaviour and public opinion data, there has been substantial growth in emphasis on mathematical theory as a technique for the derivation of testable hypotheses. Topics discussed include: optimal candidate strategies and equilibria in competitive elections; voting agendas and parliamentary procedure in the multidimensional events; revolution, repression and inequality as outputs of dynamics systems. The mathematical techniques are widely varied, including game theory, functional analysis, differential equations, expert systems, stochastic processes and statistical models.

This book, first published in 1989, gives a critical account of formal international relations theory. That formal and mathematical methods can be applied to the study of international relations is often regarded with surprise, but the author demonstrates not only how these methods give insights into problems such as deterrence or arms races but also that the increase in the power of explanatory tools depends on the more rigourous development of theory along these lines. Mathematical methods have been applied to the study of international behaviour since the pioneering work of Lewis Fry Richardson in the 1920s and 1930s. However, it was in the post Second World War period that they became widespread. Dr Nicholson discusses the application of such methods as the theory of games to problems of relationships between states, catastrophe theory to the study of initiation of violence, and probability theory to the question of the probability of nuclear war.

A definitive, comprehensive, and analytically sophisticated treatment of the theory of collective preference

Strategy and Politics: An Introduction to Game Theory is designed to introduce students with no background in formal theory to the application of game theory to modeling political processes. This accessible text covers the essential aspects of game theory while keeping the reader constantly in touch with why political science as a whole would benefit from considering this method. Examining the very phenomena that power political machineries—elections, legislative and committee processes, and international conflict, the book attempts to answer fundamental questions about their nature and function in a clear, accessible manner. Included at the end of each chapter is a set of exercises designed to allow students to practice the construction and analysis of political models. Although the text assumes only an elementary-level training in algebra, students who complete a course around this text will be equipped to read nearly all of the professional literature that makes use of game theoretic analysis.

A pioneering effort to integrate ideology with formal political theory

Political Game Theory is a self-contained introduction to game theory and its applications to political science. The book presents choice theory, social choice theory, static and dynamic games of complete information, static and dynamic games of incomplete information, repeated games, bargaining theory, mechanism design and a mathematical appendix covering, logic, real analysis, calculus and probability theory. The methods employed have many applications in various disciplines including comparative politics, international relations and American politics. Political Game Theory is tailored to students without extensive backgrounds in mathematics, and traditional economics, however there are also many special sections that present technical material that will appeal to more advanced students. A large number of exercises are also provided to practice the skills and techniques discussed.

This book presents the rational choice theories of collective action and social choice, applying them to problems of public policy and social justice. Joe Oppenheimer has crafted a basic survey of, and pedagogic guide to, the findings of public choice theory for political scientists. He describes the problems of collective action, institutional structures, regime change, and political leadership.