Bøger i Lecture Notes in Economics and Mathematical Systems serien

This graduate text develops production theory from a set of reasonable axioms. The basic model leads to a set of efficiency measures which can be readily employed in empirical work. A first draft of the text was used to teach students at Vanderbilt University. The text includes a variety of exercise problems.

The large aggregates in the economy - consumption, investment, production of the domestic and the international sectors, international capital flows, financial accumulation and indebtedness - are analysed in this book as problems in time-optimisation for enterprises and households.

A Silverman game is a two-person zero-sum game defined in terms of two sets S I and S II of positive numbers, and two parameters, the threshold T > 1 and the penalty v > 0. Under quite general conditions, these games reduce to finite matrix games.

This special volume contains the Proceedings of a Workshop on "Parallel Algorithms and Transputers for Optimization" which was held at the University of Siegen, on November 9, 1990.

1 The Importance of Irreversibility and Learning - Familiar 11 Bxamples Revisited 1. 3 Conclusions 30 2 The Role of Irreversibility and Learning in Sequential Decision Problems - Basic Concepts 33 2. 2 Economic Examples 37 2. 2 The Two-Period Model with Uncertainty 46 2. 2 An Example: Money Demand as Demand for Flexibility 61 2.

Stochastic Programming offers models and methods fordecision problems wheresome of the data are uncertain. In these models the objective function isgiven as an integral, whose integrand depends on a randomvector, on its probability measure and on a decision.

This work (in two parts), Lecture Notes in Economics and Mathe matical Systems, Volume 105 and 106, constitutes the Proceedings of the Fourteenth Biennual Seminar of the Canadian Mathematical Congress, which was held from August 12 to August 25, 1973 at the University of Western Ontario, London, Ontario.

Matroid theory has its origin in a paper by H. Tutte [30] developed the funda mentals of matroids in detail from a graph-theoretic point of view, and characterised graphic matroids as well as the larger class of those matroids that are representable over any field.

Sponsored by IIASA (International Institute for Applied Systems Analysis) and the Institute for Informatics of the Academy of Sciences of the GDR

The book presents different models for the simultaneous optimization problem of capacity investment and work release rule parameterization. For special cases with M/M/1 and M/M/s queues explicit solutions of the optimization problems or optimality conditions concerning capacity investment and work release rule parameterization are provided.

In this book the foundations and applicability of the Generalized Fechner-Thurstone Utility Function are laid out. It is also shown that whereas the existence of a fixed preference utility function is not always guaranteed for different demand functions, there will always exist at least one Generalized Fechner-Thurstone Direct Utility Function.

This volume presents recent advances in the dynamic field of Artificial Economics and its various applications. Artificial Economics provides a structured approach to model and investigate economic and social systems. Artificial Economics especially facilitates the investigation of this emergent systems' behavior.

Sponsored by: Centre d'Enseignement Superieur des Affaires (C.E.S.A.) and European Institute for Advanced Studies in Management (E.I.A.S.M.)

It has been introduced by Leontief (1941) who assumed that inputs into a production process of a particular sector of economic activity is a constant fraction of the output of that process in physicaZ terms. In that case one generally assumes that the ratios between inputs (in value terms) and outputs (in value terms) are constant.

This volume presents 20 carefully selected papers that were pre sented at the International Symposium on Semi-Infinite Programming and Applications, The University of Texas at Austin, September 8-10, 1981.

Modern welfare economics as it is known today to economists took its final shape with the emergence of the Arrow-Debreu model. Quite to the contrary, infinity enters in a very natural way when it is taken into account that economic transactions take place over time.

Associated dynamic analyses have therefore been preoccupied with the stability of this equilibrium state, corresponding simply to studies of comparative statics. A common objective is to study and classify ways in which the qualitative properties of each system change as the parameters describing the system vary.

It is then shown that they all reduce to a common basic principle, that is, they all perform the same computational steps if certain conditions are set properly and ties are broken according to a common rule.

The conventional wisdom suggests that the problem of (dis )aggregation in growth and business cycle theory is basically a quantitative one: the model should consider as many sectors, goods, and agents as necessary to provide a sufficiently rich picture, the upper bound obviously resulting from the tractability of the problem.