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

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.

Autorentext
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.

Inhalt

1. An Observation on the Structure of Production Sets with Indivisibilities 2. Production Sets with Indivisibilities, Part I: Generalities 3. Production Sets with Indivisibilities, Part II: The Case of Two Activities 4. Integral Polyhedra in Three Space 5. Neighborhood Systems for Production Sets with Indivisibilites 6. Testing for Optimality in the Absence of Convexity 7. The Frobenius Problem and Maximal Lattice Free Bodies 8. The Complex of Maximal Lattice Free Simplices 9. Test Sets for Integer Programs 10. Matrices with Identical Sets of Neighbors 11. The Topological Structure of Maximal Lattice Free Convex Bodies - The General Case 12. Neighborhood Complexes and Generating Functions for Affine Semigroups 13. The Structure of the Complex of Maximal Lattice Free Bodies for a Matrix of Size (N + 1) x N