The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modern mathematics is actually employed to solve relevant contemporary problems. Although these independent chapters were prepared primarily for teachers in the general mathematical sciences, they should prove valuable to students, teachers, and research scientists in many of the fields of application as well. Prerequisites for each chapter and suggestions for the teacher are provided. Several of these chapters have been tested in a variety of classroom settings, and all have undergone extensive peer review and revision. Illustrations and exercises are included in most chapters. Some units can be covered in one class, whereas others provide sufficient material for a few weeks of class time. Volume 1 contains 23 chapters and deals with differential equations and, in the last four chapters, problems leading to partial differential equations. Applications are taken from medicine, biology, traffic systems and several other fields. The 14 chapters in Volume 2 are devoted mostly to problems arising in political science, but they also address questions appearing in sociology and ecology. Topics covered include voting systems, weighted voting, proportional representation, coalitional values, and committees. The 14 chapters in Volume 3 emphasize discrete mathematical methods such as those which arise in graph theory, combinatorics, and networks.

The use of innovative computational models in political economic research as a complement to traditional analytical methodologies.

Models of Political Economy will introduce students to the basic methodology of political economics. It covers all core theories as well as new developments including: decision theory game theory mechanism design games of asymmetric information. Hannu Nurmi's text will prove to be invaluable to all students who wish to understand this increasingly technical field.

Political scientists use models to investigate and illuminate causal mechanisms, generate comparative data, and more. But how do we justify and rationalize the method? Why test predictions from a deductive, and thus truth-preserving, system? Primo and Clarke tackle these central questions in this novel work of methodology.

Surveys the models of political phenomena that incorporate imperfect information, concentrating on 'full-rationality' approaches as opposed to bounded rationality models.

This book is open access under a CC BY 4.0 license. The book examines the methodological challenges in analyzing the effectiveness of development policies. It presents a selection of tools and methodologies that can help tackle the complexities of which policies work best and why, and how they can be implemented effectively given the political and economic framework conditions of a country. The contributions in this book offer a continuation of the ongoing evidence-based debate on the role of agriculture and participatory policy processes in reducing poverty. They develop and apply quantitative political economy approaches by integrating quantitative models of political decision-making into existing economic modeling tools, allowing a more comprehensive growth-poverty analysis. The book addresses not only scholars who use quantitative policy modeling and evaluation techniques in their empirical or theoretical research, but also technical experts, including policy makers and analysts from stakeholder organizations, involved in formulating and implementing policies to reduce poverty and to increase economic and social well-being in African countries.