While traditional price theory has successfully elucidated national income distribution in a perfectly competitive economy, little is known today about the overall working of a noncompetitive economy. This book moves to remedy the imbalance by sketching a general equilibrium theory of a noncompetitive economy.

Developing his theory in the world of the standard Leontief system, Hukukane Nikaido attempts to construct objective demand functions reflecting the interdependence of economic agents in the real world upon which the monopolist's control of prices or output ultimately...

Can every allocation in the core of an economy be decentralized by a suitably chosen price system? Werner Hildenbrand shows that the answer is yes if the economy has "many" participating agents and if the influence of every individual agent on collective actions is "negligible." To give a general and precise definition of economics with this property he considers both economies with a continuum of agents, and a sequence of economies with an increasing number of participants. In both cases this leads to a measure theoretic formulation of economic equilibrium analysis.

In the first...

A sequel to his frequently cited Cost and Production Functions (1953), this book offers a unified, comprehensive treatment of these functions which underlie the economic theory of production.

The approach is axiomatic for a definition of technology, by mappings of input vectors into subsets of output vectors that represent the unconstrained technical possibilities of production. To provide a completely general means of characterizing a technology, an alternative to the production function, called the Distance Function, is introduced.

The duality between cost function and...

The important data of economics are in the form of time series; therefore, the statistical methods used will have to be those designed for time series data. New methods for analyzing series containing no trends have been developed by communication engineering, and much recent research has been devoted to adapting and extending these methods so that they will be suitable for use with economic series. This book presents the important results of this research and further advances the application of the recently developed Theory of Spectra to economics. In particular, Professor Hatanaka...

Game theory has brought into economics an uncertainty principle similar to the one brought into physics by the quantum theory. Professor Barch's main purpose in this book is to show how one can construct realistic economic theories by taking uncertainty into account instead of dismissing it. He brings together a number of recent developments in different fields of economics and other social sciences in which uncertainty and chance play a central role and shows that they really constitute an entity. These developments include the revisions of utility, the introduction of game theory as a...

One of the usual assumptions in economic theory is that an entity called a commodity can be measured or that the amount of it can be represented by any real number. The functions (or other types of mapping) with which the economist deals, such as production functions, demand curves, and cost functions are assumed to be defined for real number arrays and to behave properly with respect to various criteria of continuity. Assumptions of this sort imply an acceptance of commodity divisibility. However, it is possible that in many instances indivisible rather than divisible commodities are the...

A sequel to his frequently cited Cost and Production Functions (1953), this book offers a unified, comprehensive treatment of these functions which underlie the economic theory of production.

The approach is axiomatic for a definition of technology, by mappings of input vectors into subsets of output vectors that represent the unconstrained technical possibilities of production. To provide a completely general means of characterizing a technology, an alternative to the production function, called the Distance Function, is introduced.

The duality between cost function and...

Can every allocation in the core of an economy be decentralized by a suitably chosen price system? Werner Hildenbrand shows that the answer is yes if the economy has "many" participating agents and if the influence of every individual agent on collective actions is "negligible." To give a general and precise definition of economics with this property he considers both economies with a continuum of agents, and a sequence of economies with an increasing number of participants. In both cases this leads to a measure theoretic formulation of economic equilibrium analysis.

In the first...

While traditional price theory has successfully elucidated national income distribution in a perfectly competitive economy, little is known today about the overall working of a noncompetitive economy. This book moves to remedy the imbalance by sketching a general equilibrium theory of a noncompetitive economy.

Developing his theory in the world of the standard Leontief system, Hukukane Nikaido attempts to construct objective demand functions reflecting the interdependence of economic agents in the real world upon which the monopolist's control of prices or output ultimately...