Maximum principles in analytical economics

@article{Samuelson2004MaximumPI,
  title={Maximum principles in analytical economics},
  author={Paul A. Samuelson},
  journal={Synthese},
  year={2004},
  volume={31},
  pages={323-344}
}
Lecture to the memory of Alfred Nobel, December 11, 1970 (This abstract was borrowed from another version of this item.) 
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References

SHOWING 1-10 OF 58 REFERENCES
Foundations of Economic Analysis.
Recent statistical techniques, including nonlinear programming, have been added to a basic survey of equilibrium systems, comparative statistics, consumer behavior theory, and cost and production
A Reformulation of Certain Aspects of Welfare Economics
Assumptions, 310.— I. General conditions for maximum welfare, 311.— II. The Lemer conditions, 316; the Pareto-Barone-Cambridge conditions, 318; the Cambridge conditions, 320. III. Review and
Diagrammatic Exposition of a Theory of Public Expenditure
In the November 1954 issue of the Review of Economics and Statistics my paper on ‘The Pure Theory of Public Expenditure’ presented a mathematical exposition of a public expenditure theory that goes
Consumption Theorems in Terms of Overcompensation Rather Than Indifference Comparisons
To be of interest a scientific theory must have consequences. Upon hard-boiled examination, the theory of consumer's behaviour turns out not to be completely without interest. By this I mean:
Linear Programming and Economic Analysis.
Eventually, you will certainly discover a further experience and capability by spending more cash. nevertheless when? do you assume that you require to acquire those all needs in imitation of having
A Reconsideration of the Theory of Value. Part I
THE pure theory of exchange value, after a period of intensive study by economists of the generation of Jevons and Marshall, has received comparatively little attention from their successors in the
Stochastic speculative price.
  • P. Samuelson
  • Economics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1971
TLDR
The present study determines the behavior of price as the solution to a stochastic-dynamic-programming problem and concludes that the resulting stationary time series possesses an ergodic state and normative properties like those often observed for real-world bourses.
Frank Knight's theorem in linear programming
A quarter of a century ago Frank Knight showed that there exists some kind of a relation between the Walras-Wieser pricing theory involving technically fixed coefficients of production and the more
The Common Sense of Econometrics : Reprinted from Econometrica, Jan. 1933, 5–12.
THE AIMS of this Journal, and of the Society of which it is to be the organ, have been stated above by the Editor with that brevity and precision which are characteristic of every statement of a
Revealed Preference and the Utility Function
Professor Samuelson's "revealed preference" approach' has proved to be a useful basis for deriving a considerable part of the static theory of consumer's choice. Its exisLing versions are not
...
...