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This book is a theoretical and completely rigorous analysis of voting in committees that provides mathematical proof of the existence of democratic voting systems, which are immune to the manipulation of preferences of coalitions of voters. The author begins by determining the power distribution among voters that is induced by a voting rule, giving particular consideration to choice by plurality voting and Borda's rule. He then constructs, for all possible committees, well-behaved representative voting procedures which are not distorted by strategic voting, giving complete solutions for certain important classes of committees. The solution to the problem of mass elections is fully characterised.
Political and economic institutions are typically governed by committees that face the challenge to reconcile the preferences of their members. How should decision rules be designed to generate fair and sustainable agreements, for example if committee members represent groups of different sizes? This book uses game-theoretic concepts and models to address the issue of political decision-making processes. In addition to providing a survey on basic game-theoretic tools in the analysis of political decisions, the author looks at specific issues such as two-tiered voting systems or the influence of lobbyists on legislative committees, and shows how the models can be applied to real-world contexts such as the EU decision-making institutions.
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Four laws of party seats and votes are constructed by logic and tested, using physics-like approaches which are rare in social sciences.
No subject is more central to the study of politics than elections. All across the globe, elections are a focal point for citizens, the media, and politicians long before--and sometimes long after--they occur. Electoral systems, the rules about how voters' preferences are translated into election results, profoundly shape the results not only of individual elections but also of many other important political outcomes, including party systems, candidate selection, and policy choices. Electoral systems have been a hot topic in established democracies from the UK and Italy to New Zealand and Japan. Even in the United States, events like the 2016 presidential election and court decisions such as Citizens United have sparked advocates to promote change in the Electoral College, redistricting, and campaign-finance rules. Elections and electoral systems have also intensified as a field of academic study, with groundbreaking work over the past decade sharpening our understanding of how electoral systems fundamentally shape the connections among citizens, government, and policy. This volume provides an in-depth exploration of the origins and effects of electoral systems.
Voters do not always choose their preferred candidate on election day. Often they cast their ballots to prevent a particular outcome, as when their own preferred candidate has no hope of winning and they want to prevent another, undesirable candidate’s victory; or, they vote to promote a single-party majority in parliamentary systems, when their own candidate is from a party that has no hope of winning. In their thought-provoking book The Many Faces of Strategic Voting, Laura B. Stephenson, John H. Aldrich, and André Blais first provide a conceptual framework for understanding why people vote strategically, and what the differences are between sincere and strategic voting behaviors. Expert contributors then explore the many facets of strategic voting through case studies in Great Britain, Spain, Canada, Japan, Belgium, Germany, Switzerland, and the European Union.
This title takes an in-depth look at the mathematics in the context of voting and electoral systems, with focus on simple ballots, complex elections, fairness, approval voting, ties, fair and unfair voting, and manipulation techniques. The exposition opens with a sketch of the mathematics behind the various methods used in conducting elections. The reader is lead to a comprehensive picture of the theoretical background of mathematics and elections through an analysis of Condorcet’s Principle and Arrow’s Theorem of conditions in electoral fairness. Further detailed discussion of various related topics include: methods of manipulating the outcome of an election, amendments, and voting on small committees. In recent years, electoral theory has been introduced into lower-level mathematics courses, as a way to illustrate the role of mathematics in our everyday life. Few books have studied voting and elections from a more formal mathematical viewpoint. This text will be useful to those who teach lower level courses or special topics courses and aims to inspire students to understand the more advanced mathematics of the topic. The exercises in this text are ideal for upper undergraduate and early graduate students, as well as those with a keen interest in the mathematics behind voting and elections.
Most theories of elections assume that voters and political actors are fully rational. This title provides a behavioral theory of elections based on the notion that all actors - politicians as well as voters - are only boundedly rational.
Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.
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.