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This book includes up-to-date contributions in the broadly defined area of probabilistic analysis of voting rules and decision mechanisms. Featuring papers from all fields of social choice and game theory, it presents probability arguments to allow readers to gain a better understanding of the properties of decision rules and of the functioning of modern democracies. In particular, it focuses on the legacy of William Gehrlein and Dominique Lepelley, two prominent scholars who have made important contributions to this field over the last fifty years. It covers a range of topics, including (but not limited to) computational and technical aspects of probability approaches, evaluation of the likelihood of voting paradoxes, power indices, empirical evaluations of voting rules, models of voters’ behavior, and strategic voting. The book gathers articles written in honor of Gehrlein and Lepelley along with original works written by the two scholars themselves.
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.
​This Brief uses game-theoretic analysis to debunk the turnout paradox and offers an alternative economic model to elucidate the patterns behind the socioeconomic bias in turnout. The author argues that the turnout paradox—the idea that rational, strategic actors would not vote in an election—is an overstated problem, and that, contrary to widespread belief, game-theoretic models of elections with highly realistic parameters are compatible with high turnout. The author applies the method of stability sets to the study of voting games so as to characterize the behavior of electoral turnout in response to the game’s structural parameters. To illustrate the power and potential of this framework, the author then develops a politico-economic model that generates testable theories about the way in which the modern welfare state and redistribution of wealth can shape the patterns of biased turnout that exist in most democracies. By turning a classic problem of rational choice into a source of new methods of analysis this Brief allows game theory to intervene in relevant conversations about the political economy of electoral participation, creating an opportunity for formal methods to make a welcome contribution to the discipline. As such, this Brief will be of use to scholars and student of political science, economics, political economy, and public policy, especially those who work in the tradition of formal methods.
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.
Electoral promises help to win votes and political candidates, or parties should strategically choose what they can deliver to win an election. Past game-theoretical studies tend to ignore electoral promises and this book sheds illuminating light on the functions and effects of electoral promises on policies or electoral outcomes through game theory models. This book provides a basic framework for game-theoretical analysis of electoral promises. ​ The book also includes cases to illustrate real life applications of these theories. ​
A Positive Political Theory Primer is designed to introduce students 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. Each chapter also contains suggestions for further reading for those students who wish to broaden their learning and expertise.
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.
The Presidential Election Game may change the way you think about presidential elections and, for that matter, American politics in general. It is not filled with statistics about the voting behavior of citizens, nor does it give detailed histories of past campaigns. Rather, it is an analytic treatment of strategy in the race for the presidency, from the primaries to the general election. Using modern game theory and decision theory, Brams demonstrates why certain campaign strategies are more effective than others and supports his analysis with historical evidence.