Tournament Solutions and Majority Voting
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Beschreibung
This book is a survey on the problem of choosing from a tournament. It brings together under a unified and self-contained presentation results and concepts from Graph Theory, Choice Theory, Decision Science and Social Choice which were discovered in the last ten years. Classical scoring and ranking methods are introduced, including the Slater orderings, as well as new statistical methods for describing a tournament, graph-theoretical methods based on the covering relation and game-theoretical methods. As an illustration, results are applied to the classical problem of Majority Voting: How to deal with the Condorcet Paradox.
The book presents classical scoring and ranking methods as well as new statistical, graph-theoretical and game-theoretical methods for the description of a tournament and applies them to the problem of Majority Voting.
Autor*in
J.-Francois Laslier
Themen in »Tournament Solutions and Majority Voting«
Entscheidungstheorie Graphentheorie Mehrheitswahl Politikwissenschaft Social Choise Spieltheorie decision theory game theory graph theory majority voting political science social choice