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Strategic Social Choice: Stable Representations of Constitutions de Bezalel Peleg

Strategic Social Choice: Stable Representations of Constitutions: Studies in Choice and Welfare

Autor Bezalel Peleg, Hans Peters
en Limba Engleză Paperback – 5 noi 2012
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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Specificații

ISBN-13: 9783642265051
ISBN-10: 3642265057
Pagini: 172
Ilustrații: XVIII, 154 p. 2 illus.
Dimensiuni: 155 x 235 x 9 mm
Greutate: 0.25 kg
Ediția:2010
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Studies in Choice and Welfare

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Recenzii

From the reviews:
“The book studies stable representations of constitutions. … the book is very well written and perfectly organized … . I can highly recommend the book by Bezalel Peleg and Hans Peters: a real pleasure for scholars working on effectivity functions and social choice functions, and a great learning opportunity for those who are not that familiar with the topics in question. It is an excellent contribution, bringing together a lot of material in a single manuscript in a coherent way.” (Agnieszka Rusinowska, Social Choice and Welfare, Vol. 40, 2013)
“The book presents in terms of effectivity functions (i.e. coalitional game forms) a very deep, clear and consistent exposition of the most important social choice problem­–coalitional decision making. … Written by two authors who have made outstanding contributions to the developed theory, the book will be very useful for game and social choice experts, lecturers, and master’s and Ph.D. students in these fields.” (Fouad T. Aleskerov, Mathematical Reviews, Issue 2012 b)

Textul de pe ultima copertă

This monograph studies representations of effectivity functions by game forms that are at least Nash consistent, which means that they have a Nash equilibrium for any profile of preferences. In the second part the focus is on social choice functions that admit a strong Nash equilibrium resulting in the sincere outcome. A central interpretation of an effectivity function is that it models a constitution.

Caracteristici

This is the first monograph on the subject of constitutions modeled by effectivity functions It reviews and extends the literature on this issue from the beginning, around 30 years ago It is especially relevant for researchers, including PhD students, in the area of game theory and social choice theory