Topological Social Choice

Author : Geoffrey Heal
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642608919

Get Book

Topological Social Choice by Geoffrey Heal Pdf

The origins of this volume can be traced back to a conference on "Ethics, Economic and Business" organized by Columbia Busi ness School in March of 1993, and held in the splendid facilities of Columbia's Casa Italiana. Preliminary versions of several of the papers were presented at that meeting. In July 1994 the Fields Institute of Mathematical Sciences sponsored a workshop on "Geometry, Topology and Markets": additional papers and more refined versions of the original papers were presented there. They were published in their present versions in Social Choice and Wel fare, volume 14, number 2, 1997. The common aim of these workshops and this volume is to crystallize research in an area which has emerged rapidly in the last fifteen years, the area of topological approaches to social choice and the theory of games. The area is attracting increasing interest from social choice theorists, game theorists, mathematical econ omists and mathematicians, yet there is no authoritative collection of papers in the area. Nor is there any surveyor book to give a perspective and act as a guide to the issues in and contributions to this new area. One of the two aims of this volume is in some measure to play this role: the other aim is of course to present interesting and surprising new results.

Author : G. M. Heal
Publisher : Unknown
Page : 26 pages
File Size : 45,9 Mb
Release : 1995
Category : Social choice
ISBN : UCLA:L0073717829

Get Book

Social Choice and Resource Allocation by G. M. Heal Pdf

Author : Kenneth J. Arrow,A. Sen,Kotaro Suzumura
Publisher : Elsevier
Page : 985 pages
File Size : 49,9 Mb
Release : 2010-10-13
Category : Business & Economics
ISBN : 9780080929828

Get Book

Handbook of Social Choice and Welfare by Kenneth J. Arrow,A. Sen,Kotaro Suzumura Pdf

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 : Prasanta K. Pattanaik,Koichi Tadenuma,Yongsheng Xu,Naoki Yoshihara
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 46,6 Mb
Release : 2008-09-30
Category : Business & Economics
ISBN : 9783540798323

Get Book

Rational Choice and Social Welfare by Prasanta K. Pattanaik,Koichi Tadenuma,Yongsheng Xu,Naoki Yoshihara Pdf

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.

Author : P.K. Pattanaik,M. Salles
Publisher : Elsevier
Page : 336 pages
File Size : 49,9 Mb
Release : 2016-04-20
Category : Business & Economics
ISBN : 9781483290591

Get Book

Social Choice and Welfare by P.K. Pattanaik,M. Salles Pdf

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 : Norman Schofield
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9783642705960

Get Book

Social Choice and Democracy by Norman Schofield Pdf

The mathematical theory of voting has intellectual roots extending back two centuries to the writings of Borda and Condorcet. Yet it has only been in the last forty years that general theorems have begun to emerge. With the publication of this volume, Norman Schofield brings the results together in a ,common framework. SOCIAL CHOICE AND DEMOCRACY, however, is not merely a synthetic exercise, for Schofield's own work over the last decade has constituted a major initiative in deepening and' broadening our general understanding of voting arrangements. At last the results of his research, bits and pieces of which have been reported in a number of journals of international standing and in various collections, are coherently and systematically presented as an entirety. For students of democracy -- chiefly philosophers and political scientists, but increasingly economists as well -- the insights of this volume are profound. From it I infer the following.

Author : Wulf Gaertner
Publisher : Cambridge University Press
Page : 167 pages
File Size : 41,9 Mb
Release : 2001-09-06
Category : Business & Economics
ISBN : 9781139430166

Get Book

Domain Conditions in Social Choice Theory by Wulf Gaertner Pdf

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 : Norman Schofield
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 43,6 Mb
Release : 2013-10-11
Category : Business & Economics
ISBN : 9783642398186

Get Book

Mathematical Methods in Economics and Social Choice by Norman Schofield Pdf

In recent years, the usual optimization techniques, which have proved so useful in microeconomic theory, have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behavior of general economic and political systems. These developments have necessarily resulted in an increase in the degree of formalism in the publications in the academic journals. This formalism can often deter graduate students. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.

Author : Kotaro Suzumura
Publisher : Springer
Page : 226 pages
File Size : 44,7 Mb
Release : 1997-10-13
Category : Business & Economics
ISBN : 9781349258499

Get Book

Social Choice Re-examined by Kotaro Suzumura Pdf

Since World War II the subject of social choice has grown in many and surprising ways. The impossibility theorems have suggested many directions: mathematical characterisations of voting structures satisfying various sets of conditions, the consequences of restricting choice to certain domaines, the relation to competitive equilibrium and the core, and trade-offs among the partial satisfactions of some conditions. The links with classical and modern theories of justice and, in particular, the competing ideas of rights and utilitarianism have shown the power of formal social choice analysis in illuminating the most basic philosophical arguments about the good social life. Finally, the ideals of the just society meet with the play of self interest; social choice mechanisms can lend themselves to manipulation, and the analysis of conditions under which given ideals can be realised under self interest is a political parallel to the welfare economics of the market. The contributors to these volumes focus on these issues at the forefront of current research.

Author : Morris W. Hirsch,Jerrold E. Marsden,Michael Shub
Publisher : Springer Science & Business Media
Page : 620 pages
File Size : 50,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461227403

Get Book

From Topology to Computation: Proceedings of the Smalefest by Morris W. Hirsch,Jerrold E. Marsden,Michael Shub Pdf

An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale has made lasting con tributions. The theme "Unity and Diversity" is enlarged upon in the section entitled "Research Themes and Conference Schedule." The organizers hoped that illuminating connections between seemingly separate mathematical sub jects would emerge from the conference. Since such connections are not easily made in formal mathematical papers, the conference included discussions after each of the historical reviews of Smale's work in different fields. In addition, there was a final panel discussion at the end of the conference.

Author : norman schofield
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 43,5 Mb
Release : 2004-03-15
Category : Business & Economics
ISBN : 3540211381

Get Book

Mathematical Methods in Economics and Social Choice by norman schofield Pdf

In recent years, the usual optimisation techniques have been extended to incorporate more powerful topological and differential methods, and these methods have led to new results on the qualitative behaviour of general economic and political systems. The progression of ideas presented in this book will familiarize the student with the geometric concepts underlying these topological methods, and, as a result, make mathematical economics, general equilibrium theory, and social choice theory more accessible.

Author : Beno Eckmann
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 52,5 Mb
Release : 2006-10-11
Category : Mathematics
ISBN : 9783540337911

Get Book

Mathematical Survey Lectures 1943-2004 by Beno Eckmann Pdf

This collection of survey lectures in mathematics traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his entire professional life with the Swiss Federal Technical University (ETH) at Zurich, as student, lecturer, professor, and professor emeritus.

Author : Borislav G. Dimitrov
Publisher : Borislav Dimitrov
Page : 520 pages
File Size : 41,5 Mb
Release : 2018-01-23
Category : Philosophy
ISBN : 9781370071210

Get Book

Topological (in) Hegel by Borislav G. Dimitrov Pdf

The aim of this book is to critically examine whether it is methodologically possible to combine mathematical rigor – topology with a systematic dialectical methodology in Hegel, and if so, to provide as result of my interpretation the outline of Hegel’s Analysis Situs, also with the proposed models (build on the topological manifold, cobordism, topological data analysis, persistent homology, simplicial complexes and graph theory, to provide an indication of how the merger of Hegel’s dialectical logic and topology may be instrumental to a systematic logician and of how a systematic dialectical logic perspective may help mathematical model builders.

Author : S. K. Neogy
Publisher : World Scientific
Page : 498 pages
File Size : 44,8 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812813213

Get Book

Mathematical Programming and Game Theory for Decision Making by S. K. Neogy Pdf

This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory. It is a peer-reviewed research monograph under the ISI Platinum Jubilee Series on Statistical Science and Interdisciplinary Research. This volume provides a panoramic view of theory and the applications of the methods of mathematical programming to problems in statistics, finance, games and electrical networks. It also provides an important as well as timely overview of research trends and focuses on the exciting areas like support vector machines, bilevel programming, interior point method for convex quadratic programming, cooperative games, non-cooperative games and stochastic games. Researchers, professionals and advanced graduates will find the book an essential resource for current work in mathematical programming, game theory and their applications.

Author : Graciela Chichilnisky
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 46,9 Mb
Release : 2024-07-04
Category : Business & Economics
ISBN : 0821871307

Get Book

Topology and Markets by Graciela Chichilnisky Pdf

This volume presents the proceedings of a workshop on geometry, topology, and markets held at The Fields Institute. The workshop was attended by eminent mathematicians and financial and economic theorists. Using a topological approach, the volume discusses new mathematics and its applications to social sciences and financial markets. Topics addressed at the workshop included new topological invariants for existence, characterization and computation of market equilibria and their relation to social choice and to other forms of resource allocation, competitive and cooperative systems, algebraic geometry and markets with increasing returns, computational complexity, and stochastic processes and financial mark