Functional Analysis and Economic Theory

1. Front Matter

   Pages i-viii

   PDF

2. Mathematics

   1. Bijective Disjointness Preserving Operators

      • Yuri Abramovich, Arkady Kitover

      Pages 1-8

   2. A Remark on Positive Isotropic Random Vectors

      • Alvaro Arias, Alexander Koldobsky

      Pages 9-15

   3. A Topological Approach to the Study of Fuzzy Measures

      • Giuseppina Barbieri, Hans Weber

      Pages 17-46

   4. On the Ranges of Additive Correspondences

      • Achille Basile

      Pages 47-60

   5. Extremal Vectors for a Class of Linear Operators

      • Per Enflo

      Pages 61-64

   6. Towards a Theory of Nonlinear Orthomorphisms

      • Zafer Ercan, Antony W. Wickstead

      Pages 65-78

   7. Finitely Generated Vector Sublattices

      • Charles B. Huijsmans

      Pages 79-95

   8. Duality in Operator Spaces

      • Victor Lomonosov

      Pages 97-100

   9. Topological Transitivity and Recurrence as a Source of Chaos

      • Constantin P. Niculescu

      Pages 101-108

   10. Order Bounded Operators May be Far from Regular

       • Antony W. Wickstead

       Pages 109-118

3. Economics

   1. Implicit Programming and the Invariant Manifold for Ramsey Equilibria

      • Robert A. Becker, Ciprian Foias

      Pages 119-144

   2. An Approach to Bargaining for General Payoffs Regions

      • D. Glycopantis, A. Muir

      Pages 145-169

   3. Social States of Belief and the Determinant of the Equity Risk Premium in a Rational Belief Equilibrium

      • Mordecai Kurz

      Pages 171-220

   4. Quasi-Equilibrium and Equilibrium in a Large Production Economy with Differentiated Commodities

      • Konrad Podczeck

      Pages 221-270

   5. An Exact Implementation of the Nash Bargaining Solution in Dominant Strategies

      • Walter Trockel

      Pages 271-279

   6. On the Existence of a Temporary Unemployment Equilibrium

      • Demetrius Yannelis

      Pages 281-290

   7. On the Existence of a Bayesian Nash Equilibrium

      • Nicholas C. Yannelis

      Pages 291-296

In July of 1996, the conference Nonlinear Analysis and its Applications in Engineering and Economics took place on the Greek island of Samos, the birthplace of Pythagoras. During this conference, a special session was held on th the occasion of the 50 birthday of the well known mathematician and math­ ematical economist Professor Charalambos Aliprantis, who, by his numerous friends, is usually called Roko. The story behind this nickname is not quite clear yet; it will be investigated further and will be made public prior to his th 60 birthday. (At this moment we have already found out that it has nothing to do with the famous movie Rocco and his Brothers even though Roko does have two brothers. ) Roko was born on the Greek island of Cephalonia on May 12,1946, and his elementary and secondary school education took place there. At 18 he entered the Mathematics Department at the University of Athens. Upon graduation from the University of Athens he proceeded with his graduate studies at Cal­ tech, where in 1973 he completed his Ph. D. degree in Mathematics under the supervision of Professor W. A. J. Luxemburg. His research career can be divided into two periods. The first one, till 1981, was devoted entirely to pure mathematics. The other one, after 1981, has been subdivided between pure mathematics and mathematical economics. The main objects of Roko's work in pure mathematics are spaces with order structure (Riesz spaces) and operators acting on them.

• calculus
• duality
• economics
• employment
• equilibrium
• extrema
• functional analysis
• mathematical economics
• strategy
• unemployment

• Department of Mathematical Sciences, IUPUI, Indianapolis, USA

  Yuri Abramovich

• Department of Education, University of the Aegean, Rhodes, Greece

  Evgenios Avgerinos

• Department of Economics, University of Illinois at Urbana Champaign, Champaign, USA

  Nicholas C. Yannelis

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