Voting Paradoxes and How to Deal with Them

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