Economic Foundations of Symmetric Programming
Cambridge University Press
Edition: Illustrated, 1/20/2011
EAN 9780521123020, ISBN10: 052112302X
Paperback, 568 pages, 22.9 x 15.2 x 3.3 cm
Language: English
Originally published in English
The search for symmetry is part of the fundamental scientific paradigm in mathematics and physics. Can this be valid also for economics? This book represents an attempt to explore this possibility. The behavior of price-taking producers, monopolists, monopsonists, sectoral market equilibria, behavior under risk and uncertainty, and two-person zero- and non-zero-sum games are analyzed and discussed under the unifying structure called the linear complementarity problem. Furthermore, the equilibrium problem allows for the relaxation of often-stated but unnecessary assumptions. This unifying approach offers the advantage of a better understanding of the structure of economic models. It also introduces the simplest and most elegant algorithm for solving a wide class of problems.
1. Introduction
2. Lagrangean theory
3. Karush–Kuhn–Tucker theory
4. Solving systems of linear equations
5. Asymmetric and symmetric quadratic programming
6. Linear complementarity problem
7. The price taker
8. The monopolist
9. The monopsonist
10. Risk programming
11. Comparative statics and parametric programming
12. General market equilibrium
13. Two-person zero- and non-zero-sum games
14. Positive mathematical programming
15. Multiple optimal solutions
16. Lemke complementary pivot algorithm - user manual
17. Lemke Fortran 77 program.