Economic foundations of symmetric programming / Quirino Paris.

Format:

Book

Author/Creator:

Paris, Quirino, author.

Language:

English

Subjects (All):

Microeconomics--Mathematical models.

Microeconomics.

Physical Description:

1 online resource (xviii, 550 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2011.

Language Note:

English

Summary:

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.

Contents:

Introduction

Lagrangean theory

Karush-Kuhn-Tucker theory

Solving systems of linear equations

Asymmetric and symmetric quadratic programming

Linear complementarity problem

The price taker

The monopolist

The monopsonist

Risk programming

Comparative statics and parametric programming

General market equilibrium

Two-person zero- and non-zero-sum games

Positive mathematical programming

Multiple optimal solutions

Lemke complementary pivot algorithm user manual

Lemke Fortran 77 program.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

0-511-86205-9

1-282-94201-8

9786612942013

0-511-76178-3

0-511-85988-0

0-511-85901-5

0-511-86075-7

0-511-85814-0

0-511-85727-6

OCLC:

693761360