1.1. Introduction Solving systems of nonlinear equations has since long been of great interest to researchers in the field of economics, mathematics, en gineering, and many other professions. Many problems such as finding an equilibrium, a zero point, or a fixed point, can be formulated as the problem of finding a solution to a system of nonlinear equations. There are many methods to solve the nonlinear system such as Newton's method, the homotopy method, and the simplicial method. In this monograph we mainly consider the simplicial method. Traditionally, the zero point and fixed point...
1.1. Introduction Solving systems of nonlinear equations has since long been of great interest to researchers in the field of economics, mathematics, ...
These notes grew out of a series of lectures given by the author at the Univer sity of Budapest during 1985-1986. Additional results have been included which were obtained while the author was at the University of Erlangen-Niirnberg under a grant of the Alexander von Humboldt Foundation. Vector optimization has two main sources coming from economic equilibrium and welfare theories of Edgeworth (1881) and Pareto (1906) and from mathemat ical backgrounds of ordered spaces of Cantor (1897) and Hausdorff (1906). Later, game theory of Borel (1921) and von Neumann (1926) and production theory of...
These notes grew out of a series of lectures given by the author at the Univer sity of Budapest during 1985-1986. Additional results have been include...
1. The Idea behind the workshop was that of calling attention to the necessity of studying long term tendencies In economic growth. We believe that actual growth processes In capitalistic economies are not smooth phenomena and also that the evolution of the economy Is characterized by long term fluctuations as well as by trade cycles. It Is now common place to argue that this point of view was revived after 1973 In consequence of the economic difficulties experienced by Industrialized countries while It has a much older origin as Its roots can be pushed back at least to the Great Depression...
1. The Idea behind the workshop was that of calling attention to the necessity of studying long term tendencies In economic growth. We believe that ac...
In production systems there are often capacity oriented performance objectives, like a desired total throughput, a desired average throughput time and average work in-process. Such performance objectives are expressed in "units of products" rather than in specific product types. This book presents a way of modeling and analyzing production systems so, that such capacity oriented performance criteria can be measured in a simple way. The model consists of three basic elements. 1. The product types in the system are aggregated. 2. The product flow is modeled as being continuous. 3. The machines...
In production systems there are often capacity oriented performance objectives, like a desired total throughput, a desired average throughput time and...
These Lecture Notes arose from discussions we had over a working paper written by the first author in fall 1987. We decided then to write a short paper about the basic structure of evolutionary stability and found ourselves ending up with a book manuscript. Parts of the material contained herein were presented in a seminar at the Department of Mathematics at the University of Vienna, as well as at a workshop on evolutionary game theory in Bielefeld. The final version of the manuscript has certainly benefitted from critical comments and suggestions by the participants of both the seminar and...
These Lecture Notes arose from discussions we had over a working paper written by the first author in fall 1987. We decided then to write a short pape...
This book is motivated by the disagreement among Monetarist, Keynesian, and New Classical economists about the short-term determinants of output, unemployment, and inflation. It exposes the reader to a synthesis modeling approach which allows the derivation of the opposing theories as special cases from a single general framework, so that the macroeconomic controversy is reduced to tests of alternative statistical hypotheses. While similar studies have been conducted for the U.S. economy, this study is the first to consider an open economy and "let the data speak" about the determinants of...
This book is motivated by the disagreement among Monetarist, Keynesian, and New Classical economists about the short-term determinants of output, unem...
The present monograph analyses some topics in the pure theory of international trade. They are all concerned with the structure of production to which I have paid particular attention after the completion of my Ph.D. course at University of New South Wales. In my Ph.D. thesis, I studied extensively the production possibility sets under Professor Murray C. Kemp, who kindly contained all my products in his edi ting book, Production Sets (Academic Press, 1982). Since then, I have developed the work to the studies of international trade. The present volume is organized with these studies....
The present monograph analyses some topics in the pure theory of international trade. They are all concerned with the structure of production to which...
This book develops a general solution concept for strategic games which resolves strategic uncertainty completely. The concept is described by a mathematically formulated solution procedure and illustrated by applying it to many interesting examples. A long nontechnical introduction tries to survey and to discuss the more technical parts of the book. The book and especially the introduction provide firm and consistent guidance for scholars of game theory. There are many open problems which could inspire further research efforts.
This book develops a general solution concept for strategic games which resolves strategic uncertainty completely. The concept is described by a mathe...
Redistribution is one of the most fundamental issues in welfare economics. In connection with this term the following questions directly arise: What is a good redistribution ? Which (governmental) instruments should be used to attain it ? Is there a "best instrument" if several of them are available? Or, to express it more generally, which allocations are at all attainable if special instruments are at hand ? All these questions are formulated in an extremely vague way. It will be the task of the following work to make these questions precise and to give answers - as far as possible. It is a...
Redistribution is one of the most fundamental issues in welfare economics. In connection with this term the following questions directly arise: What i...
In this book, production rules are studied for situations which share some important elements. The most important one is that the products are manufactured according to customer specifications and they will not be manufactured unless they have been ordered. Other elements are the set-ups on the machines, which make a clustering of orders necessary, the backlogging of late orders, a production process with one bottle-neck and a stochastic demand. The purpose is to find a simple production rule, which offers possibilities for a simple adaptation to the varying wishes or to additional...
In this book, production rules are studied for situations which share some important elements. The most important one is that the products are manufac...
