The mathematical theory of voting has intellectual roots extending back two centuries to the writings of Borda and Condorcet. Yet it has only been in the last forty years that general theorems have begun to emerge. With the publication of this volume, Norman Schofield brings the results together in a ,common framework. SOCIAL CHOICE AND DEMOCRACY, however, is not merely a synthetic exercise, for Schofield's own work over the last decade has constituted a major initiative in deepening and' broadening our general understanding of voting arrangements. At last the results of his research, bits and pieces of which have been reported in a number of journals of international standing and in various collections, are coherently and systematically presented as an entirety. For students of democracy -- chiefly philosophers and political scientists, but increasingly economists as well -- the insights of this volume are profound. From it I infer the following.

This book offers a comprehensive overview and critique of the most important political and philosophical interpretations of the basic results of social choice, assessing their plausibility and seeking to identify the links between the theory of social choice and the more traditional issues of political theory and philosophy. In this regard, the author eschews a strong methodological commitment or technical formalism; the approach is instead based on the presentation of political facts and illustrated via numerous real-life examples. This allows the reader to get acquainted with the philosophical and political dispute surrounding voting and collective decision-making and its links to social choice theory.

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.

Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This 2005 book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.

Originally published in 1970, this classic study has been recognized for its groundbreaking role in integrating economics and ethics, and for its influence in opening up new areas of research in social choice, including aggregative assessment. It has also had a large influence on international organizations, including the United Nations, notably in its work on human development. The book showed that the “impossibility theorems” in social choice theory—led by the pioneering work of Kenneth Arrow—do not negate the possibility of reasoned and democratic social choice. Sen’s ideas about social choice, welfare economics, inequality, poverty, and human rights have continued to evolve since the book’s first appearance. This expanded edition preserves the text of the original while presenting eleven new chapters of fresh arguments and results. “Expanding on the early work of Condorcet, Pareto, Arrow, and others, Sen provides rigorous mathematical argumentation on the merits of voting mechanisms...For those with graduate training, it will serve as a frequently consulted reference and a necessity on one’s book shelf.” —J. F. O’Connell, Choice

Governing requires choices, and hence trade-offs between conflicting goals or criteria. This book asserts that legitimate governance requires explanations for such trade-offs and then demonstrates that such explanations can always be found, though not for every possible choice. In so doing, John W. Patty and Elizabeth Maggie Penn use the tools of social choice theory to provide a new and discriminating theory of legitimacy. In contrast with both earlier critics and defenders of social choice theory, Patty and Penn argue that the classic impossibility theorems of Arrow, Gibbard, and Satterthwaite are inescapably relevant to, and indeed justify, democratic institutions. Specifically, these institutions exist to do more than simply make policy - through their procedures and proceedings, these institutions make sense of the trade-offs required when controversial policy decisions must be made.

Offering a fascinating biography of a foundational theory, Amadae reveals not only how the ideological battles of the Cold War shaped ideas but also how those ideas may today be undermining the very notion of individual liberty they were created to defend.