Effectivity Functions In Social Choice

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Effectivity Functions In Social Choice

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Author : J. Abdou
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Effectivity Functions In Social Choice written by J. Abdou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

The present book treats a highly specialized topic, namely effec tivity functions, which are a tool for describing the power structure implicit in social choice situations of various kind. One of the ad vantages of effectivity functions is that they seem to contain exactly the information which is needed in several problems of implementa tion, that is in designing the rules for individual behaviour given that this behaviour at equilibrium should result in a prescribed functional connection between preferences and outcome. We shall be interested in both formal properties of effectiv ity functions and applications of them in social choice theory, and among such applications in particular the implementation problem. This choice of emphasis necessarily means that some other topics are treated only superficially or not at all. We do not attempt to cover all contributions to the field, rather we try to put some of the results together in order to get a reasonably coherent theory about the role of the power structure in cooperative implementation. The authors are indebted to many persons for assistance and advice during the work on this book. In particular, we would like to thank Peter Fristrup and Bodil Hansen for critical reading of the manuscript, and Lene Petersen for typesetting in '.lEX.

Effectivity Function In Social Choice

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Author : Joseph Abdou
language : it
Publisher:
Release Date : 1991

Effectivity Function In Social Choice written by Joseph Abdou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

The Strategy Of Social Choice

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Author : H. Moulin
language : en
Publisher: Elsevier
Release Date : 2014-07-14

The Strategy Of Social Choice written by H. Moulin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Psychology categories.

Advanced Textbooks in Economics, Volume 18: The Strategy of Social Choice focuses on the social, economics, and political implications of social choice. The publication first surveys introduction, social choice functions and correspondences, and monotonicity and the arrow theorem. Discussions focus on efficiency, anonymity and neutrality, classifying voting methods, normative versus positive approach to voting, voting and the non-strategic theory of social choice, and development of the strategic theory of voting. The text then ponders on strategy-proofness and monotonicity and sophisticated voting. Topics include sophisticated implementation, voting by binary choices, strategy-proof social choice functions and game forms, Gibbard-Satterthwaite theorem, and restricted domains. The manuscript examines cooperative voting and voting by veto, including the minority principle, proportional veto core, voting by integer veto, effectivity functions, maximal and stable effectivity functions, and implementation by Nash equilibrium. The text is a dependable source of data for researchers interested in the process of social choice.

Strategic Social Choice

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Author : Bezalel Peleg
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-25

Strategic Social Choice written by Bezalel Peleg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-25 with Business & Economics categories.

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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Handbook Of Social Choice And Voting

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Author : Jac C. Heckelman
language : en
Publisher: Edward Elgar Publishing
Release Date : 2015-12-18

Handbook Of Social Choice And Voting written by Jac C. Heckelman and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-18 with Business & Economics categories.

This Handbook provides an overview of interdisciplinary research related to social choice and voting that is intended for a broad audience. Expert contributors from various fields present critical summaries of the existing literature, including intuitive explanations of technical terminology and well-known theorems, suggesting new directions for research.

Handbook Of Social Choice And Welfare

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Author : Kenneth J. Arrow
language : en
Publisher: Elsevier
Release Date : 2010-10-13

Handbook Of Social Choice And Welfare written by Kenneth J. Arrow and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-13 with Business & Economics categories.

This second part of a two-volume set continues to describe economists' efforts to quantify the social decisions people necessarily make and the philosophies that those choices define. Contributors draw on lessons from philosophy, history, and other disciplines, but they ultimately use editor Kenneth Arrow's seminal work on social choice as a jumping-off point for discussing ways to incentivize, punish, and distribute goods. Develops many subjects from Volume 1 (2002) while introducing new themes in welfare economics and social choice theory Features four sections: Foundations, Developments of the Basic Arrovian Schemes, Fairness and Rights, and Voting and Manipulation Appeals to readers who seek introductions to writings on human well-being and collective decision-making Presents a spectrum of material, from initial insights and basic functions to important variations on basic schemes

Domain Conditions In Social Choice Theory

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Author : Wulf Gaertner
language : en
Publisher: Cambridge University Press
Release Date : 2001-09-06

Domain Conditions In Social Choice Theory written by Wulf Gaertner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-06 with Business & Economics categories.

Wulf Gaertner provides a comprehensive account of an important and complex issue within social choice theory: how to establish a social welfare function while restricting the spectrum of individual preferences in a sensible way. Gaertner's starting point is K. J. Arrow's famous 'Impossibility Theorem', which showed that no welfare function could exist if an unrestricted domain of preferences is to be satisfied together with some other appealing conditions. A number of leading economists have tried to provide avenues out of this 'impossibility' by restricting the variety of preferences: here, Gaertner provides a clear and detailed account, using standardized mathematical notation, of well over forty theorems associated with domain conditions. Domain Conditions in Social Choice Theory will be an essential addition to the library of social choice theory for scholars and their advanced graduate students.

Toward Applicable Social Choice Theory

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Author : John R. Chamberlin
language : en
Publisher:
Release Date : 1978

Toward Applicable Social Choice Theory written by John R. Chamberlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Social choice categories.

Social Choice Routledge Revivals

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Author : Bernhardt Liebermann
language : en
Publisher: Routledge
Release Date : 2012-07-26

Social Choice Routledge Revivals written by Bernhardt Liebermann and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Social Science categories.

First published in 1971, Social Choice is both a text and reference containing the proceedings of a conference dealing with contemporary work on the normative and descriptive aspects of the social choice problem. This reissue will be of interest to advanced undergraduate and graduate courses on group decision making and social choice. Economists, social psychologists, political scientists and sociologists will welcome this valuable work.

Rational Choice And Social Welfare

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Author : Prasanta K. Pattanaik
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-30

Rational Choice And Social Welfare written by Prasanta K. Pattanaik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-30 with Business & Economics categories.

This volume brings together papers, which were ?rst presented at the International Conference on Rational Choice, Individual Rights and Non-Welfaristic Normative Economics, held in honour of Kotaro Suzumura at Hitotsubashi University, Tokyo, on 11–13 March 2006, and which have subsequently gone through the usual process of review by referees. We have been helped by many individuals and institutions in organizing the conference and putting this volume together. We are grateful to the authors of this volume for contributing their papers and to the referees who reviewed the papers. We gratefully acknowledge the very generous fundings by the Ministry of Education, Culture, Sports, Science and Technology, Japan, through the grant for the 21st Century Center of Excellence (COE) Program on the Normative Evaluation and Social Choice of Contemporary Economic Systems, and by the Japan Society for the Promotion of Science, through the grant for International Scienti?c Meetings in Japan, and the unstinted effort of the staff of the COE Program at Hitotsubashi University, without which the conference in 2006 would not have been possible. We thank Dr. Martina Bihn, the Editorial Director of Springer-Verlag for economics and business, for her advice and help. Finally, we would like to mention that it has been a great pleasure and privilege for us to edit this volume, which is intended to be a tribute to Kotaro Suzumura’s - mense intellectual contributions, especially in the theory of rational choice, welfare economics, and the theory of social choice. Riverside Prasanta K.