Economic theory and philosophy

In winter 71/72 I held a seminar on general equilibrium theory for a jOint group of students in mathematics and in econo- mics at the university of Bonn , w.

Todaymanyeconomists, engineers and mathematicians are familiar with linear programming and are able to apply it.

This study is concerned with forecasting time series variables and the impact of the level of aggregation on the efficiency of the forecasts.

In this book problems related to the choice of models in such diverse fields as regression, covariance structure, time series analysis and multinomial experiments are discussed.

This volume contains eleven articles which deal with different aspects of dynaoic and differential game theory and its applications in economic modeling and decision making.

This monograph is a systematic exposition of the authors' research on general equi- librium models with an infinite number of commodities.

In this book binary functions and their representation by implicants or implicates are described.

A knowledge of linear systems provides a firm foundation for the study of optimal control theory and many areas of system theory and signal processing.

Hysteresis phenomena are common in numerous physical, mechanical, ecological and biological systems.

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory.

Over the past fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations.

The volume at hand gives an exposition of the tradition of the Historical School of Economics and of the Geisteswissenschaften or human sciences, the latter in their development within the Historical School as well as in Neo-Kantianism and the sociology of knowledge.

This textbook introduces graduate and upper undergraduate students to Dynamic Stochastic General Equilibrium (DSGE) models.

I have been pleased with the favourable reception of the first edition of this book and I am grateful to have the opportunity to prepare this second edition.

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During the development of modern probability theory in the 17th cen- tury it was commonly held that the attractiveness of a gamble offering the payoffs :1:17 *** ,:l: with probabilities Pl, .

Over the last fifty years advanced mathematical tools have become an integral part in the development of modern economic theory.

Discrete and computational geometry are two fields which in recent years have benefitted from the interaction between mathematics and computer science.

This volume constitutes the Proceedings of the "e;Nonlinear Dynamics in Economics and Social Sciences"e; Meeting held at the Certosa di Pontignano, Siena, on May 27-30, 1991.

Techniques of optimization are applied in many problems in economics, automatic control, engineering, etc.

Network flow and matching are often treated separately in the literature and for each class a variety of different algorithms has been developed.

This volume contains a refereed selection of revised papers which were originally presented at the Second International Conference on Econometric Decision Models, University of Hagen (FernUni- versitat).

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The problem to be considered here is the one faced by bargainers who must reach a consensus--i.

Jay Forrester's Economic Dynamics was published in 1971 and The Limits to Growth by Dennis Meadows and his associates appeared a year later.

One of the driving forces behind much of modern science andtechnology is the desire to foresee and thereby control thefuture.

In many fields of science and practice large amounts of dataand informationare collected for analyzing and visualizinglatent structures as orderings or classifications forexample.

The approach presented in this book combines two aspects of generalizations of the noncooperative game as developed by Nash.

These Notes grew from my research in evolutionary biology, specifically on the theory of evolutionarily stable strategies (ESS theory), over the past ten years.

A bibliography on stochastic orderings.

In this monograph, noncooperative games are studied.

This volume contains selected papers presented at the "e;International Workshop on Computationally Intensive Methods in Simulation and Op- th th timization"e; held from 23 to 25 August 1990 at the International Institute for Applied Systems Analysis (nASA) in La~enburg, Austria.

This book contains a collection of the most significant contributions to some of R.

This book contains 30 selected, refereed papers from an in-ternational conference on bootstrapping and related techni-ques held in Trier 1990.

A new procedure for the maximum-likelihood estimation of dynamic econometric models with errors in both endogenous and exogenous variables is presented in this monograph.

The articles collected in this volume have two features incommon: they wantto integrate economics, demography andgeography, and they want to overcome the stationary approachin modelling in favour of a dynamic one.

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Think of the following situation: A project yielding a gross profit of 100 is offered to two firms.

A number of different problems of interest to the operational researcher and the mathematical economist - for example, certain problems of optimization on graphs and networks, of machine-scheduling, of convex analysis and of approx- imation theory - can be formulated in a convenient way using the algebraic structure (R,$,@) where we may think of R as the (extended) real-number system with the binary combining operations x$y, x(R)y defined to be max(x,y),(x+y) respectively.

Over two centuries of theory and practical experience have taught us that election and decision procedures do not behave as expected.

Planning in a general sense is concerned with the design of communication and decision making mechanisms in organizations where information and choice are decentralized.