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Palgrave Macmillan

Herbert Scarf's Contributions to Economics, Game Theory and Operations Research

Volume 3: Production in Indivisibilities: A Contribution to the Theories of Large Firms

  • Book
  • © 2013

Overview

Editors:
  1. Zaifu Yang

    1. University of York, UK

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxx
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  2. An observation on the structure of production sets with indivisibilities

    • Herbert E. Scarf
    Pages 1-5

  3. Production Sets with Indivisibilities Part I: Generalities

    • Herbert E. Scarf
    Pages 7-38

  4. Production Sets with Indivisibilities Part II. The Case of Two Activities

    • Herbert E. Scarf
    Pages 39-67

  5. Integral Polyhedra in Three Space

    • Herbert E. Scarf
    Pages 69-104

  6. Neighborhood Systems for Production Sets with Indivisibilities

    • Herbert E. Scarf
    Pages 105-130

  7. Testing for optimality in the absence of convexity

    • Herbert E. Scarf
    Pages 131-148

  8. The Frobenius Problem and Maximal Lattice Free Bodies

    • Herbert E. Scarf, David F. Shallcross
    Pages 149-153

  9. The complex of maximal lattice free simplices

    • Imre Bárány, Roger Howe, Herbert E. Scarf
    Pages 155-163

  10. Test sets for integer programs

    • Herbert E. Scarf
    Pages 165-178

  11. Matrices with Identical Sets of Neighbors

    • Imre Bárány, Herbert Scarf
    Pages 179-189

  12. The topological structure of maximal lattice free convex bodies: The general case

    • I. Bárány, H. E. Scarf, D. Shallcross
    Pages 191-205

  13. Neighborhood Complexes and Generating Functions for Affine Semigroups

    • Herbert E. Scarf, Kevin M. Woods
    Pages 207-225

  14. The Structure of the Complex of Maximal Lattice Free Bodies for a Matrix of Size (n + 1) × n

    • Herbert E. Scarf
    Pages 227-258

  15. Back Matter

    Pages 259-261
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Keywords

About this book

Herbert Scarf is a distinguished economist and has made a number of extraordinarily significant contributions to economics, game theory and operations research. This work has generated a major research field in economics termed Applied General Equilibrium Analysis. This book comprises all his research articles and consists of four volumes.

Editors and Affiliations

  • University of York, UK

    Zaifu Yang

About the editor

Professor Zaifu Yang holds a chair in Economics at the University of York, UK. He has widely published in economics, game theory, operations research and applied mathematics. His articles have appeared in Econometrica, Journal of Economic Theory, Mathematics of Operations Research, Journal of Combinatorial Theory, and SIAM Journal on Control and Optimization among other leading academic journals.

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