Strategic Social Choice

Stable Representations of Constitutions
2010
ISBN: 978-3-642-26505-1
Verlag: Springer

Buch, Englisch, 154 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 271 g

Reihe: Studies in Choice and Welfare

This book was written mainly during the Spring periods of 2008 and 2009, when the ?rst author was visiting Maastricht University. Financial s- port both from the Dutch Science Foundation NWO (grants 040. 11. 013 and 0. 40. 11. 082) and from the research institute METEOR (Maastricht Univ- sity) is gratefully acknowledged. Jerusalem Bezalel Peleg Maastricht Hans Peters April 2010 v Contents Preview to this book. xi Part I Representations of constitutions 1 Introduction to Part I. 3 1. 1 Motivation and summary. 3 1. 2 Arrow’s constitution. 3 1. 3 Arrow’s Impossibility Theorem and its implications. 4 1. 4 Ga ¨rdenfors’s model. 5 1. 5 Notes and comments. 6 2 Constitutions, e?ectivity functions, and game forms. 7 2. 1 Motivation and summary. 7 2. 2 Constitutions. 8 2. 3 Constitutions and e?ectivity functions. 12 2. 4 Game forms and a representation theorem. 16 2. 5 Representation and simultaneous exercising of rights. 19 2. 6 Notes and comments. 19 3 Nash consistent representations. 21 3. 1 Motivation and summary. 21 3. 2 Existence of Nash consistent representations: a general result 22 3. 3 The case of ?nitely many alternatives. 24 3. 4 Nash consistent representations of topological e?ectivity functions. 29 3. 5 Veto functions. 34 3. 5. 1 Finitely many alternatives. 34 3. 5. 2 Topological veto functions. 36 3. 6 Liberalism and Pareto optimality of Nash equilibria. 40 3. 7 Notes and comments. 42 vii viii Contents 4 Acceptable representations. 45 4. 1 Motivation and summary.

Zielgruppe

Research

Autoren/Hrsg.

Peters, Hans

Peleg, Bezalel

Fachgebiete

• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Wirtschaftstheorie, Wirtschaftsphilosophie
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Entscheidungstheorie, Sozialwahltheorie
• Mathematik | Informatik Mathematik Operations Research Spieltheorie

Inhaltsverzeichnis

Representations of constitutions.- to Part I.- Constitutions, effectivity functions, and game forms.- Nash consistent representations.- Acceptable representations.- Strongly consistent representations.- Nash consistent representation through lottery models.- On the continuity of representations of constitutions.- Consistent voting.- to Part II.- Feasible elimination procedures.- Exactly and strongly consistent representations of effectivity functions.- Consistent voting systems with a continuum of voters.