Equilibrium Theory in Infinite Dimensional Spaces

  • M. Ali Khan
  • Nicholas C. Yannelis

Part of the Studies in Economic Theory book series (ECON.THEORY, volume 1)

Table of contents

  1. Front Matter
    Pages i-x
  2. Mathematical Background

    1. Front Matter
      Pages 1-1
    2. Nicholas C. Yannelis
      Pages 2-35
  3. Equilibria, Core, and Pareto Optimality

  4. Core Equivalence

    1. Front Matter
      Pages 177-177
    2. Harrison H. C. Cheng
      Pages 197-221
  5. The Existence of an Equilibrium in Economies with a Continuum of Agents

    1. Front Matter
      Pages 223-223
    2. M.Ali Khan, Nicholas C. Yannelis
      Pages 233-248
    3. Aldo Rustichini, Nicholas C. Yannelis
      Pages 249-265
  6. Correlated Equilibria

    1. Front Matter
      Pages 267-267
    2. Nicholas C. Yannelis, Aldo Rustichini
      Pages 268-280
    3. Kevin D. Cotter
      Pages 288-299
  7. Games with a Continuum of Players

  8. Sequential Equilibria

    1. Front Matter
      Pages 351-351
    2. Soo H. Chew, Larry G. Epstein
      Pages 352-369
  9. Back Matter
    Pages 419-437

About this book


Apart from the underlying theme that all the contributions to this volume pertain to models set in an infinite dimensional space, they differ on many counts. Some were written in the early seventies while others are reports of ongoing research done especially with this volume in mind. Some are surveys of material that can, at least at this point in time, be deemed to have attained a satisfactory solution of the problem, while oth­ ers represent initial forays into an original and novel formulation. Some furnish alternative proofs of known, and by now, classical results, while others can be seen as groping towards and exploring formulations that have not yet reached a definitive form. The subject matter also has a wide leeway, ranging from solution concepts for economies to those for games and also including representation of preferences and discussion of purely mathematical problems, all within the rubric of choice variables belonging to an infinite dimensional space, interpreted as a commodity space or as a strategy space. Thus, this is a collective enterprise in a fairly wide sense of the term and one with the diversity of which we have interfered as little as possible. Our motivation for bringing all of this work under one set of covers was severalfold.


Gleichgewichtstheorie Infinite Dimensional Commodity Space Nash Gleichgewicht Walras Gleichgewicht Walrasian Equilibrium agents

Editors and affiliations

  • M. Ali Khan
    • 1
  • Nicholas C. Yannelis
    • 2
  1. 1.The Johns Hopkins UniversityBaltimoreUSA
  2. 2.Department of EconomicsUniversity of Illinois at Urbana-ChampaignChampaignUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08114-9
  • Online ISBN 978-3-662-07071-0
  • Series Print ISSN 1431-8849
  • Buy this book on publisher's site
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