Domain Conditions In Social Choice Theory
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Domain Conditions In Social Choice Theory
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Author : Wulf Gaertner
language : en
Publisher:
Release Date : 2001
Domain Conditions In Social Choice Theory written by Wulf Gaertner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 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 standardised 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.
Social Choice Theory
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Author : Jerry S. Kelly
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Social Choice Theory written by Jerry S. Kelly 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 2013-03-09 with Business & Economics categories.
This is a textbook introducing selected topics in formal social choice theory. Social choice theory studies group choices that are based on information about preferences of members of the group (voting rules being one important special case). This involves economics, which provides the method of modelling individual decision making; political philosophy, which provides criteria about the allocation of decision-influencing power; and game theory, which provides a framework for thinking about the strategies individuals employ in trying to influence the group choice. The goal of this book is to take basic ideas like impossibility theorems, rights exercising and strategy proofness and give the student just enough technical background to be able to understand these ideas in a logically rigorous way. This is done through a set of 250 exercises that constitute the heart of the book and which differentiate this book from all other texts in social choice theory.
Domain Conditions And Social Rationality
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Author : Satish Kumar Jain
language : en
Publisher: Springer Nature
Release Date : 2019-10-31
Domain Conditions And Social Rationality written by Satish Kumar Jain and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-31 with Mathematics categories.
This book primarily focuses on the domain conditions under which a number of important classes of binary social decision rules give rise to rational social preferences. One implication of the Arrow and Gibbard theorems is that every non-oligarchic social decision rule that satisfies the condition of independence of irrelevant alternatives, a requirement crucial for the unambiguity of social choices, and the weak Pareto criterion fails to generate quasi-transitive social preferences for some configurations of individual preferences. The problem is exemplified by the famous voting paradox associated with the majority rule. Thus, in the context of rules that do not give rise to transitive (quasi-transitive) social preferences for every configuration of individual preferences, an important problem is that of formulating Inada-type necessary and sufficient conditions for transitivity (quasi-transitivity). This book formulates conditions for transitivity and quasi-transitivity for several classes of social decision rules, including majority rules, non-minority rules, Pareto-inclusive non-minority rules, and social decision rules that are simple games. It also analyzes in detail the conditions for transitivity and quasi-transitivity under the method of the majority decision, and derives the maximally sufficient conditions for transitivity under the class of neutral and monotonic binary social decision rules and one of its subclasses. The book also presents characterizations of some of the classes of rules for which domain conditions have been derived. The material covered is relevant to anyone interested in studying the structure of voting rules, particularly those interested in social choice theory. Providing the necessary social choice theoretic concepts, definitions, propositions and theorems, the book is essentially self-contained. The treatment throughout is rigorous, and unlike most of the literature on domain conditions, care is taken regarding the number of individuals in the 'necessity' proofs. As such it is an invaluable resource for students of economics and political science, with takeaways for everyone – from first-year postgraduates to more advanced doctoral students and scholars.
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.
Social Choice Theory
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Author : Satish Kumar Jain
language : en
Publisher: Springer Nature
Release Date : 2022-11-01
Social Choice Theory written by Satish Kumar Jain and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-01 with Business & Economics categories.
This introductory textbook on social choice theory makes the social choice theoretic framework and its main results, that have a direct bearing on the discourses on electoral rules and policy evaluation, accessible to a larger audience. The text is essentially self-contained. No previous knowledge of mathematical logic or relational algebra is assumed. Whatever technical prerequisites are needed, are developed in the text itself. Although the text is at an introductory level, there has been no compromise on rigor. Unlike most introductory books, the relevant proofs are not omitted; rather, they have been explained in detail. The text has a large number of examples so that the concepts and results become clear to the reader. There is a large number of exercises with full solutions provided at the end of the text, so that the reader can check her/his understanding of the material.
Handbook Of Social Choice And Welfare
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Author : Kenneth Joseph Arrow
language : en
Publisher: Gulf Professional Publishing
Release Date : 2002
Handbook Of Social Choice And Welfare written by Kenneth Joseph Arrow and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Social choice categories.
The Handbook of Social Choice and Welfare presents, in two volumes, essays on past and on-going work in social choice theory and welfare economics. The first volume consists of four parts. In Part 1 (Arrovian Impossibility Theorems), various aspects of Arrovian general impossibility theorems, illustrated by the simple majority cycle first identified by Condorcet, are expounded and evaluated. It also provides a critical survey of the work on different escape routes from impossibility results of this kind. In Part 2 (Voting Schemes and Mechanisms), the operation and performance of voting schemes and cost-sharing mechanisms are examined axiomatically, and some aspects of the modern theory of incentives and mechanism design are expounded and surveyed. In Part 3 (structure of social choice rules), the positional rules of collective decision-making (the origin of which can be traced back to a seminal proposal by Borda), the game-theoretic aspects of voting in committees, and the implications of making use of interpersonal comparisons of welfare (with or without cardinal measurability) are expounded, and the status of utilitarianism as a theory of justice is critically examined. It also provides an analytical survey of the foundations of measurement of inequality and poverty. In order to place these broad issues (as well as further issues to be discussed in the second volume of the Handbook) in perspective, Kotaro Suzumura has written an extensive introduction, discussing the historical background of social choice theory, the vistas opened by Arrow's Social Choice and Individual Values, the famous "socialist planning" controversy, and the theoretical and practical significance of social choice theory. The primary purpose of this Handbook is to provide an accessible introduction to the current state of the art in social choice theory and welfare economics. The expounded theory has a strong and constructive message for pursuing human well-being and facilitating collective decision-making. *Advances economists' understanding of recent advances in social choice and welfare *Distills and applies research to a wide range of social issues *Provides analytical material for evaluating new scholarship *Offers consolidated reviews and analyses of scholarship in a framework that encourages synthesis--
A Primer In Social Choice Theory
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Author : Wulf Gaertner
language : en
Publisher: OUP Oxford
Release Date : 2009-04-23
A Primer In Social Choice Theory written by Wulf Gaertner and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-23 with Business & Economics categories.
Processes of collective decision making are seen throughout modern society. How does a government decide on an investment strategy within the health care and educational sectors? Should a government or a community introduce measures to combat climate change and CO2 emissions, even if others choose not too? Should a country develop a nuclear capability despite the risk that other countries may follow their lead? This introductory text explores the theory of social choice. Social choice theory provides an analysis of collective decision making. The main aim of the book is to introduce students to the various methods of aggregating the preferences of all members of a given society into some social or collective preference. Written as a primer suitable for advanced undergraduates and graduates, this text will act as an important starting point for students grappling with the complexities of social choice theory. With all new chapter exercises this rigorous yet accessible primer avoids the use of technical language and provides an up-to-date discussion of this rapidly developing field.
The Theory Of Social Choice
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Author : Peter C. Fishburn
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08
The Theory Of Social Choice written by Peter C. Fishburn and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Social Science categories.
One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra. The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Social Choice And Individual Values
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Author : Kenneth J. Arrow
language : en
Publisher: Yale University Press
Release Date : 2012-06-26
Social Choice And Individual Values written by Kenneth J. Arrow and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-26 with Political Science categories.
Originally published in 1951, "Social Choice and Individual Values" introduced "Arrow's Impossibility Theorem" and founded the field of social choice theory in economics and political science. This new edition, including a new foreword by Nobel laureate Eric Maskin, reintroduces Arrow's seminal book to a new generation of students and researchers."Far beyond a classic, this small book unleashed the ongoing explosion of interest in social choice and voting theory. A half-century later, the book remains full of profound insight: its central message, 'Arrow's Theorem, ' has changed the way we think."--Donald G. Saari, author of "Decisions and Elections: Explaining the Unexpected "
Social Choice And Welfare
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Author : P.K. Pattanaik
language : en
Publisher: Elsevier
Release Date : 2016-04-20
Social Choice And Welfare written by P.K. Pattanaik and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-20 with Business & Economics categories.
This volume comprises papers presented at the Symposium on Collective Choice, by leading experts in this field. It presents recent advances in Social Choice Theory and Welfare Economics. The papers are classified in two broad groups: (1) those dealing with the ethical aspects of the theory of social choice and (2) those concerned with the positive aspects. The papers in the first part are concerned with the Arrow-type aggregation problem or aspects of it and with more specific questions relating to optimality, justice and welfare. In part II several papers discuss the problem of strategic misrevelation of preferences by individuals, others discuss simple voting games, social choice-correspondences and electoral competition. The main features are: - Recent advances in social choice theory and welfare economics - New mathematical approaches to social choice theory (differential and algebraic topology) -New aspects of the concepts of justice and optimality in welfare economics and social choice.