Cycles and Social Choice

The True and Unabridged Story of a Most Protean Paradox

Inbunden, Engelska, 2018

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Beskrivning

The centuries-old paradox of voting is that majorities sometimes prefer x to y, y to z, and z to x - a cycle. The discovery of the sources and consequences of such cycles, under majority rule and countless other regimes, constitutes much of the mathematical theory of voting and social choice. This book explores the big questions posed by the paradox of voting: positive questions about how to predict outcomes and explain observed stability, and normative questions about how to hold elections, how to take account of preference intensities, the relevance of social welfare to social choice, and challenges to formal 'rationality', individual and social. The overall lesson is that cycles are facts, ubiquitous, and consequential in non-obvious ways, not puzzles to be solved, much less maladies or misfortunes to be avoided or regretted.

Produktinformation

Utgivningsdatum:2018-03-22
Mått:156 x 235 x 17 mm
Vikt:370 g
Format:Inbunden
Språk:Engelska
Antal sidor:170
Förlag:Cambridge University Press
ISBN:9781107180918

Utforska kategorier

Politik och statsskick inom Samhälle och politik

Mer om författaren

Thomas Schwartz is Distinguished Professor of Political Science at University of California, Los Angeles. In the 1970s he migrated to political science from economics, previously having studied philosophy (Ph.D., University of Pittsburgh). With numerous journal publications and citations in all three disciplines and in mathematics, he is also the author of Freedom and Authority (1970), The Art of Logical Reasoning (1980), and The Logic of Collective Choice (1986). Many of his research results relate to the mathematical theory of voting and social choice, the subject of this book. His articles can be found in the American Political Science Review, the Journal of Economic Theory, the American Journal of Political Science, and Public Choice, among other places.

Recensioner i media

'Thomas Schwartz reveals the mysteries of voting cycles, including their connections to famous results in social choice theory and game theory. Instead of bewailing cycles as incoherent, he casts them in a penetrating, positive light. Additionally, Cycles and Social Choice illuminates the philosophical implications of cycles for democratic rule, and their empirical ramifications for such political institutions as legislatures and political parties.' Steven J. Brams, New York University

Innehållsförteckning

Introduction; 1. Condorcet's two discoveries; 2. Incidence of the paradox; 3. Social rationality; 4. Arrovian cycle theorems; 5. Second line of cycle theorems: Condorcet generalizations; 6. Top cycles in a fixed feasible set; 7. Strategic consequences of cycles; 8. Structural consequences of cycles; 9. Questions about prediction and explanation; 10. Questions about prescription and evaluation.