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Author: W.F. Lucas
Publisher: Springer Science & Business Media
ISBN: 1461254302
Category : Business & Economics
Languages : en
Pages : 416
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Book Description
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.
Author: W.F. Lucas
Publisher: Springer Science & Business Media
ISBN: 1461254302
Category : Business & Economics
Languages : en
Pages : 416
Get Book
Book Description
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.
Author: Ken Kollman
Publisher: MIT Press
ISBN: 9780262112758
Category : Business & Economics
Languages : en
Pages : 306
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Book Description
The use of innovative computational models in political economic research as a complement to traditional analytical methodologies.
Author: Hannu Nurmi
Publisher: Routledge
ISBN: 1134338627
Category : Business & Economics
Languages : en
Pages : 224
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Book Description
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.
Author: William F. Lucas
Publisher:
ISBN:
Category : Mathematical models
Languages : en
Pages : 422
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Book Description
Author: Scott Gehlbach
Publisher: Cambridge University Press
ISBN: 1108482066
Category : Political Science
Languages : en
Pages : 289
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Book Description
An accessible treatment of important formal models of domestic politics, fully updated and now including a chapter on nondemocracy.
Author: Kevin A. Clarke
Publisher: Oxford University Press
ISBN: 0195382196
Category : Political Science
Languages : en
Pages : 233
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Book Description
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.
Author: Paul E. Johnson
Publisher: Pergamon
ISBN:
Category : Philosophy
Languages : en
Pages : 232
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Book Description
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.
Author: Randolph Sloof
Publisher: Springer Science & Business Media
ISBN: 1475753071
Category : Business & Economics
Languages : en
Pages : 267
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Book Description
In this chapter the topic of this book is introduced. Section 1. 1 provides a brief and rather general motivation for the scientific project undertaken here. Interest groups are a very popular object of scientific inquiry, and they received already considerable research attention from scholars in political science, as well as from researchers in economics. Necessarily, then, this book adds to a literature which is already quite developed. A detailed positioning in this literature of the theoretical material presented in this monograph will be given in Chapter 2. This second chapter will also, by means of a review of the empirical literature, provide a more general overview of the issues deemed to be important when studying the influence of interest groups on public policy. The outline of the entire book is described in greater detail in Section 1. 2. As most issues involved are more easily presented in later chapters, this introductory chapter is kept brief. 1. 1 MOTIVATION Substantial political power is often attributed to interest groups. Examples abound in both the economics and political science literature, as well as in journalistic accounts and popular publications. On many occasions the authors express concerns about the negative impact of interest groups on the democratic quality of government. "The interests of a small group are served at the expense of the interests of the general public, the taxpayers!", is an often heard popular complaint.
Author: Rebecca B. Morton
Publisher: Cambridge University Press
ISBN: 1139427733
Category : Political Science
Languages : en
Pages : 340
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Book Description
At present much of political science consists of a large body of formal mathematical work that remains largely unexplored empirically and an expanding use of sophisticated statistical techniques. While there are examples of noteworthy efforts to bridge the gap between these, there is still a need for much more cooperative work between formal theorists and empirical researchers in the discipline. This book explores how empirical analysis has, can, and should be used to evaluate formal models in political science. The book is intended to be a guide for active and future political scientists who are confronting the issues of empirical analysis with formal models in their work and as a basis for a needed dialogue between empirical and formal theoretical researchers in political science. These developments, if combined, are potentially a basis for a new revolution in political science.
Author: Morton R. Davies
Publisher: New York : Praeger Publishers
ISBN:
Category : Comparative government
Languages : en
Pages : 200
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Book Description
