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Voting Paradoxes and How to Deal with Them
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Table of Contents

Introduction.- Basic Concepts and Tools.- Alternatives and Opinions.- Preference Profile.- Pairwise Comparison and Tournament Matrix.- McGarvey`s Theorem.- Paradoxes of the Enlightenment Era.- Borda`s Paradox.- Condorcet`s Paradox.- Borda and Condorcet Compared.- How Frequent Are the Paradoxes?.- The Geometry of Voting.- The Saari Triangles.- The Conditions of Paradoxes.- The Paradoxical Act of Voting.- The Cost Calculus.- The No-Show Paradox.- Monotonicity Paradoxes.- Additional Support Paradox.- Preference Truncation Paradox.- How to Deal with Monotonicity Paradoxes?.- Compound Majority Paradoxes.- Ostrogorski`s Paradox.- Anscombe`s Paradox.- The Paradox of Multiple Elections.- The Referendum Paradox.- Simpson`s Paradox.- How to Deal With Compound Majority Paradoxes.- Intra-Profile Paradoxes.- Pareto Violations.- Inconsistency Paradox.- Choice Set Variance Paradoxes.- The q-Rules and Pareto Violations.- Tournament Solutions to Voting Paradoxes.- Paradoxes of Representation.- The Alabama Paradox.- Other Paradoxes of Hamilton Apportionments.- Schwartz`s Paradox of Representation.- How to Deal with Representation Paradoxes.- Classification of Paradoxes.- Hard and Soft Solutions.

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