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Topological Social Choice

  • Book
  • © 1997

Overview

Editors:
  1. Geoffrey M. Heal

    1. Columbia University Columbia Business School, New York, USA

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  • The use of new mathematical techniques leads to powerful new results and shows social choice theory to be linked to resources allocation theory

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-VII
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  2. Social choice and resource allocation: a topological perspective

    • Geoffrey Heal
    Pages 1-14

  3. Market arbitrage, social choice and the core

    • Graciela Chichilnisky
    Pages 15-52

  4. Topological and discrete social choice: in a search of a theory

    • Yuliy M. Baryshnikov
    Pages 53-63

  5. Informational geometry of social choice

    • Donald G. Saari
    Pages 65-86

  6. Topological methods in social choice: an overview

    • Paras Mehta
    Pages 87-97

  7. A note on continuous social choice

    • Yuqing Zhou
    Pages 99-102

  8. Strategy-proofness of continuous aggregation maps

    • Heine Rasmussen
    Pages 103-111

  9. The geometry of implementation: a necessary and sufficient condition for straightforward games

    • G. M. Heal, G. Chichilnisky
    Pages 113-148

  10. Homotopy properties of Pareto aggregation rules

    • Gleb Koshevoy
    Pages 149-156

  11. Social choice with infinite populations: construction of a rule and impossibility results

    • Graciela Chichilnisky, Geoffrey Heal
    Pages 157-172

  12. Topological aggregation, the case of an infinite population

    • Luc Lauwers
    Pages 173-186

  13. Topological aggregation of preferences: the case of a continuum of agents

    • J. C. Candeal, G. Chichilnisky, E. Induráin
    Pages 187-197

  14. Continuity and equity with infinite horizons

    • Luc Lauwers
    Pages 199-210

  15. A note on weak ∞-Chichilnisky rules

    • Luc Lauwers
    Pages 211-212
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About this book

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.

Editors and Affiliations

  • Columbia University Columbia Business School, New York, USA

    Geoffrey M. Heal

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