Economic Foundations of Symmetric Programming

The search for symmetry is part of the fundamental scientific paradigm in mathematics and physics. Can this be valid also for economics? This textbook 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.

This book on symmetric programming is for graduate students who have already taken a graduate course in microeconomic theory.