The centuries-old paradox of voting is that majorities sometimes prefer x to y, y to z, and z to x - a cycle. This book is about the numerous and diverse sources and consequences of cycles, under majority rule and countless other regimes. Their discovery constitutes much of the mathematical theory of voting and social choice.
The centuries-old paradox of voting is that majorities sometimes prefer x to y, y to z, and z to x - a cycle. This book is about the numerous and diverse sources and consequences of cycles, under majority rule and countless other regimes. Their discovery constitutes much of the mathematical theory of voting and social choice.
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.
Inhaltsangabe
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.
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.
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