Unlock the power of voting systems with "Cardinal Voting," part of the "Political Science" series. This book delves into cardinal voting—a revolutionary method where voters rate candidates, offering a new perspective on electoral fairness and decision-making. 1-Cardinal Voting-Learn the basics of cardinal voting, where voters use a numerical scale to express preferences, providing a richer view than traditional methods. 2-Approval Voting-Understand approval voting, where voters simply approve or disapprove of candidates, and its connection to cardinal voting for better accuracy. 3-Score Voting-Explore score voting, where candidates are rated, and its impact on elections compared to other systems. 4-Condorcet Paradox-Discover the Condorcet paradox and its effects on cardinal voting by highlighting voting system complexities. 5-Arrow's Impossibility Theorem-Analyze Arrow's theorem and its implications for designing effective cardinal voting systems. 6-Independence of Irrelevant Alternatives-Examine this key criterion affecting fairness in voting systems and its relevance to cardinal voting. 7-Gibbard–Satterthwaite Theorem-Understand this theorem’s insights into strategic voting and its limitations within cardinal voting. 8-Bucklin Voting-Learn about Bucklin voting, blending ranked and cardinal voting elements, and its decision-making impact. 9-Majority Criterion-Review the majority criterion’s role in ensuring cardinal voting reflects true majority preferences. 10-Positional Voting-Compare positional and cardinal voting systems, and see how each affects electoral outcomes. 11-Strategic Voting-Investigate strategic voting and its impact on the integrity of cardinal voting systems. 12-Allan Gibbard-Explore Allan Gibbard’s contributions to voting theory and their influence on cardinal voting. 13-Social Choice and Individual Values-Examine the link between social choice theory and individual preferences in cardinal voting. 14-Later-no-harm Criterion-Understand how this criterion preserves voter preferences in cardinal voting systems. 15-Majority Judgment-Consider majority judgment as an alternative to cardinal voting and its potential benefits. 16-Ranked Voting-Compare ranked voting with cardinal voting to evaluate the strengths and weaknesses of each. 17-Comparison of Electoral Systems-Get a detailed comparison of electoral systems and the unique benefits of cardinal voting. 18-Gibbard's Theorem-Revisit Gibbard’s theorem and its effect on strategic behavior in cardinal voting. 19-Combined Approval Voting-Explore combined approval voting and its integration with cardinal voting principles. 20-Highest Median Voting Rules-Understand highest median voting rules and their role in cardinal voting. 21-Usual Judgment-Learn about usual judgment and its impact on electoral outcomes alongside cardinal voting. "Cardinal Voting" offers deep insights into electoral systems, bridging theory with practical application. Elevate your understanding of voting systems today.

This fascinating history of papal politicking over the past 150 years includes an in-depth examination of the most likely candidates for the papacy after John Paul II.

The discoveries of social choice theory have undermined the simple and unrealistic nineteenth-century notions of democracy, especially the expectation that electoral institutions smoothly translate popular will directly into public policy. One response to these discoveries is to reject democracy out of hand. Another, which is the program of this book, is to save democracy by formulating more realistic expectations. Hence, this book first summarizes social choice theory in order to explain the full force of its critique. Then it explains, in terms of social choice theory, how politics and public issues change and develop. Finally, it reconciles democratic ideals with this new understanding of politics.

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.

Intrigue, double-dealing and conspiracy in the Eternal City. 'A fascinating narrative of the intermingling of secular and religious power' New Statesman 'A highly enjoyable and thrilling read... Hollingsworth has peeled back the veil of secrecy surrounding papal conclaves' History Today 'Full of lively detail and colour' Literary Review August 1559. As the long hot Italian summer draws to its close, so does the life of a rigidly orthodox and profoundly unpopular pope. The papacy of Paul IV has seen the establishing of the Roman Inquisition and the Index of Prohibited Books, an unbending refusal to open dialogue with Protestants, and the ghettoization of Rome's Jews. On 5 September 1559, as the great doors of the Vatican's Sala Regia are ceremonially locked, the future of the Catholic Church hangs in the balance. Mary Hollingsworth offers a compelling and sedulously crafted reconstruction of the longest and most taxing of sixteenth-century papal elections. Its crisscrossing fault lines divided not only moderates from conservatives, but also the adherents of three national 'factions' with mutually incompatible interests. France and Spain were both looking to extend their power in Italy and beyond and had very different ideas of who the new pope should be – as did the Italian cardinals. Drawing on the detailed account books left by Ippolito d'Este, one of the participating cardinals, Conclave 1559 provides remarkable insights into the daily lives and concerns of the forty-seven men locked up for some four months in the Vatican.

How do you know if an election is fair? Or if the result truly represents the choice of the people? In Making Democracy Fair students use elementary mathematical methods to explore different kinds of ballots, election decision procedures, and apportionment methods. In the first half of the book, students are introduced to a variety of alternatives to the "winner take all" strategy used in most elections. Determining which strategy is fairest is usually a very difficult question to answer, and many times the strategy chosen determines the winner. In the second part of the book, students investigate different methods of apportionment. How many representatives from each state will there be in the United States House of Representatives? How do countries using a proportional representation decide on the number of representatives from each political party to be seated in their government bodies?