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Production and capital

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Harvard University Press, 1985 - Business & Economics - 481 pages
Unlike the papers of some other great economists, those of Kenneth Arrow are being read and studied today with even greater care and attention than when they first appeared in the journals. The publication of his collected papers will therefore be welcomed by economists and other social scientists and in particular by graduate students, who can draw from them the deep knowledge and the discernment in selection of scientific problems that only a master can offer. The author has added headnotes to certain well-known papers, describing how he came to write them.

The study of production is central to economic theory, and capital and its accumulation are two of the most interesting aspects of the modern production process. Capital may take the form of inventories of inputs, inventories of outputs, or machines and other fixed goods. The essential and unique aspect of all types of capital is that it must be accumulated as the result of prior stages of the production process. This gives the dynamic theory of production a recursive structure that can be exploited by economic analysis. The optimization of production under recursive conditions lends itself to general mathematical methods of dynamic programming and optimal control theory. This is the main theme of the essays included in this fifth volume of Kenneth Arrow's Collected Papers.

  

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Contents

On the Use of Winds in Flight Planning
1
Optimal Inventory Policy
25
CapitalLabor Substitution and Economic Efficiency
50
Economic Welfare and the Allocation of Resources for Invention
104
Optimal Capital Adjustment
120
Optimal Advertising Policy under Dynamic Conditions
140
The Economic Implications of Learning by Doing 757
157
Optimal Capital Policy the Cost of Capital and Myopic Decision Rules
181
Applications of Control Theory to Economic Growth
267
Classificatory Notes on the Production and Transmission of Technological Knowledge
297
Optimal Consumer Allocation over an Infinite Horizon
307
Optimal Public Investment Policy and Controllability with Fixed Private Savings Ratio
332
Uniqueness of the Internal Rate of Return with Vanable Life of Investment
373
The Social Discount Rate
382
Optimal Growth with Irreversible Investment in a Ramsey Model
401
Uncertainty and the Evaluation of Public Investment Decisions
418

Knowledge Productivity and Practice
191
Critena for Social Investment
200
Discounting and Public Investment Criteria 275
215
Reply
236
Optimal Capital Policy with Irreversible Investment
241
Reply
440
A Production Function for the Repairman Problem
443
The Measurement of Real Value Added
456
Index
477
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About the author (1985)

Kenneth Arrow, an American economist, is known for his contributions to mathematical economics. Educated at City College of New York and Columbia University, he has taught at Stanford and Harvard universities. He was awarded the Nobel Prize (jointly with Sir John Richard Hicks) for his work in welfare economics and the theory of social choice. The possibility of a theory of social choice, or collective choice based on the preferences of individuals has intrigued economists for some time. Arrow's Ph.D. thesis, published as Social Choice and Individual Values (1951), was the seminal work in the field of social choice theory and showed the impossibility of deriving efficient group outcomes based on the aggregate of rational individual preferences. In a later book, Social Choice and Multicriterion Decision-Making (1986), which was coauthored with Herve Raynaud, Arrow dealt with additional decision criteria and alternatives in a search for efficient group outcomes. Despite the importance of these two works, the general reader may find them somewhat difficult and abstruse. The work of most general equilibrium economists like Arrow is seldom well known outside the economics profession. Even so, Arrow's range of interests extends far beyond the straightforward mathematical treatment of economics. For example, he is an outspoken advocate of the decontrol of oil prices.