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Computability, Complexity and Constructivity in Economic Analysis

Computability, Complexity and Constructivity in Economic Analysis

K. Vela Velupillai (Editor)

ISBN: 978-1-405-13078-3 May 2005 Wiley-Blackwell 336 Pages

 Paperback

Out of stock

$46.95

Description

This cutting-edge collection of essays develops an economic theory based on the mathematics of the digital computer.
  • A cutting-edge collection of essays, which develops an economic theory based on the mathematics of the digital computer.
  • Proposes a wholly different mathematical foundation for economic theory and applied economics.
  • The contributors supply explicit formalizations and applications to traditional issues in economic analysis.
  • Each chapter presents new theoretical perspectives and results, and novel conceptual definitions.
Preface.

I. Introduction.(K. Vela Velupillai).

II. Computing the Future (N. C. A. da Costa and F. A. Doria).

III. Making Mathematics Effective in Economics (Joseph L. McCauley).

IV. Complexity and Information in Modeling (J. Rissanen).

V. Introduction: Algorithmic and Exchangeable Aspects (John J. McCall).

VI. Constructive and Classical Models for Results in Economics and Game Theory (Kislaya Prasad).

VII. A Primer on the Tools and Concepts of Computable Economics (K. Vela Velupillai).

VIII. Emergence and Universal Computation (Cassey Lee).

IX. Research and Development in Computable Production Functions (Francesco Luna).

X. Computable Knowledge and Undecidability: A Turing Machine Metaphor Applied to Endogenous Growth Models (Stefano Zambelli).

XI. Rights and Decentralized Computatation (Håkan J. Holm).

Author Index.

Subject Index.

'Economists should be vitally interested in the computational possibilities of two classes of agents: the actors in their models and themselves. There is a branch of mathematics that tells you what can be calculated and what cannot be calculated, even in principle. Economists should be interested in this branch of mathematics and rushing out in great numbers to learn all about it, yet most economists have ignored computability, constructivity, and related branches of mathematics and probability theory. K. Vela Velupillai’s welcome and important volume helps greatly by giving us a serious introduction to this field, one that is geared to the interests of economists.'

Roger Koppl, Fairleigh Dickinson University (from Journal of Economic Behavior & Organization review, 2007)


  • A cutting-edge collection of essays, which develops an economic theory based on the mathematics of the digital computer.

  • Proposes a wholly different mathematical foundation for economic theory and applied economics.

  • The contributors supply explicit formalizations and applications to traditional issues in economic analysis.

  • Each chapter presents new theoretical perspectives and results, and novel conceptual definitions.