Domain Conditions In Social Choice Theory PDF Download
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Author | : Wulf Gaertner |
Publisher | : |
Total Pages | : 153 |
Release | : 2001 |
Genre | : Business & Economics |
ISBN | : 9780511016233 |
Download Domain Conditions in Social Choice Theory Book in PDF, ePub and Kindle
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.
Author | : Jerry S. Kelly |
Publisher | : Springer Science & Business Media |
Total Pages | : 174 |
Release | : 2013-03-09 |
Genre | : Business & Economics |
ISBN | : 366209925X |
Download Social Choice Theory Book in PDF, ePub and Kindle
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.
Author | : Wulf Gaertner |
Publisher | : Cambridge University Press |
Total Pages | : 167 |
Release | : 2001-09-06 |
Genre | : Business & Economics |
ISBN | : 1139430165 |
Download Domain Conditions in Social Choice Theory Book in PDF, ePub and Kindle
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.
Author | : Kenneth J. Arrow |
Publisher | : Elsevier |
Total Pages | : 985 |
Release | : 2010-10-13 |
Genre | : Business & Economics |
ISBN | : 0080929826 |
Download Handbook of Social Choice and Welfare Book in PDF, ePub and Kindle
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
Author | : Peter C. Fishburn |
Publisher | : Princeton University Press |
Total Pages | : 277 |
Release | : 2015-03-08 |
Genre | : Social Science |
ISBN | : 1400868335 |
Download The Theory of Social Choice Book in PDF, ePub and Kindle
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.
Author | : Satish Kumar Jain |
Publisher | : Springer Nature |
Total Pages | : 204 |
Release | : 2019-10-31 |
Genre | : Mathematics |
ISBN | : 9811396728 |
Download Domain Conditions and Social Rationality Book in PDF, ePub and Kindle
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.
Author | : P.K. Pattanaik |
Publisher | : Elsevier |
Total Pages | : 336 |
Release | : 2016-04-20 |
Genre | : Business & Economics |
ISBN | : 148329059X |
Download Social Choice and Welfare Book in PDF, ePub and Kindle
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.
Author | : Andy Blunden |
Publisher | : BRILL |
Total Pages | : 449 |
Release | : 2021-11-08 |
Genre | : Social Science |
ISBN | : 9004470972 |
Download Hegel, Marx and Vygotsky Book in PDF, ePub and Kindle
Andy Blunden’s Hegel Marx & Vygotsky, Essays in Social Philosophy uses a series of essays to demonstrate how the cultural psychology of Lev Vygotsky and the Soviet Activity Theorists can be used to renew Hegelian Marxism as an interdisciplinary science.
Author | : Satish Kumar Jain |
Publisher | : Springer Nature |
Total Pages | : 211 |
Release | : 2022-11-01 |
Genre | : Business & Economics |
ISBN | : 9811696616 |
Download Social Choice Theory Book in PDF, ePub and Kindle
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.
Author | : Kenneth J. Arrow |
Publisher | : Yale University Press |
Total Pages | : 347 |
Release | : 2012-06-26 |
Genre | : Political Science |
ISBN | : 0300186983 |
Download Social Choice and Individual Values Book in PDF, ePub and Kindle
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 "