Skip to main content

Programming of Activities; Allocation of Resources

  • Chapter
Mathematical Economics
  • 82 Accesses

Abstract

The main thread of economic theory is now taken up again : static and dynamic models of general scope. Economic equilibrium is defined broadly in Chapter 10 and in very special form in Chapter 11 ; these apparently divergent lines of approach need to be pulled together. The Walrasian system of Chapter 10 allows for all possible inter-relations in what Robbins (1932) has described as the economic problem : the use of limited resources to obtain certain economic objectives. All this is far too general. Even with the ingenuity of Hicks or Samuelson, few results of empirical content can be derived. It is true that a count of equations shows that solutions are possible—but not that they exist, at least with non-negative prices and quantities.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Arrow (K. J.) and Debreu (G.) (1954) :“Existence of an Equilibrium for a Competitive Economy”, Econometrica, 22, 265–90.

    Article  Google Scholar 

  • Cameron (B.) (1951) :“The Construction of the Leontief System”, Review of Economic Studies, 19, 19–27.

    Article  Google Scholar 

  • Champernowne (D. G.) (1945) :“A Note on J. v. Neumann’s Article”, Review of Economic Studies, 13, 10–18.

    Article  Google Scholar 

  • Chipman (J.) (1953) :“Linear Programming”, Review of Economics and Statistics, 35, 101–17 and 342–9.

    Article  Google Scholar 

  • Dantzig (G. B.) (1949) :“Programming of Interdependent Activities : Mathematical Model”, Econometrica, 17, 200–11.

    Article  Google Scholar 

  • Debreu (G.) (1951) :“The Coefficient of Resource Utilisation”, Econometrica, 19, 273–92.

    Article  Google Scholar 

  • Dorfman (R.), Samuelson (P. A.) and Solow (R. M.) (1958) : Linear Programming and Economic Analysis (McGraw-Hill, 1958), Chapters 9–10 and 13.

    Google Scholar 

  • Georgescu-Roegen (N.) (1935) :“Fixed Coefficients of Production and Marginal Productivity Theory”, Review of Economic Studies, 3, 40–9.

    Article  Google Scholar 

  • Kemeny (J. G.), Morgenstern (O.) and Thompson (G. L.) (1956) :“A Generalisation of the von Neumann Model of an Expanding Economy”, Econometrica, 24, 115–35.

    Article  Google Scholar 

  • Kemeny (J. G), Snell (J. L.) and Thompson (G. L.) (1957) : Introduction to Finite Mathematics (Prentice-Hall, 1957), Chapter VII.

    Google Scholar 

  • Koopmans (T. C.) (Editor) (1951) : Activity Analysis of Production and Allocation (Wiley, 1951).

    Google Scholar 

  • Kuhn (H. W.) and Tucker (A. W.) (1958) :“John von Neumann’s Work in the Theory of Games and Mathematical Economics”, American Mathematical Society, 64 (3 II), 100–22.

    Article  Google Scholar 

  • LeontiefW.W.)(1951): The Structure of American Economy, 1919–1939 (Oxford, Second Ed., 1951).

    Google Scholar 

  • Mises (L.) (1935) :“Economic Calculation in the Socialist Commonwealth”, in Hayek (F. A.) (Editor), Collecttvist Economic Planning (Routledge, 1935).

    Google Scholar 

  • Morgenstern (O.) (Editor) (1954) : Economic Activity Analysis (Wiley, 1954).

    Google Scholar 

  • (Neumann (J. von) (1937, 1945) :“A Model of General Economic Equilibrium”, Review of Economic Studies, 13, 1–9, English translation of an earlier (1937) article in German.

    Article  Google Scholar 

  • Robbins (L. C.) (1932) : The Nature and Significance of Economic Science (Macmillan, 1932).

    Google Scholar 

  • Wald (A.) (1935, 1951) :“On Some Systems of Equations in Mathematical Economics”, Econometrica, 19, 368–403, English translation of an earlier (1935) article in German.

    Article  Google Scholar 

  • Wong (Y. K.) and Morgenstern (O.) (1957) :“A Study t>f Linear Economic Systems”, Weltwirtschaftliches Archiv, 79, 222–39.

    Google Scholar 

Download references

Authors

Copyright information

© 1959 R. G. D. Allen

About this chapter

Cite this chapter

Allen, R.G.D. (1959). Programming of Activities; Allocation of Resources. In: Mathematical Economics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-81547-0_17

Download citation

  • DOI: https://doi.org/10.1007/978-1-349-81547-0_17

  • Publisher Name: Palgrave Macmillan, London

  • Print ISBN: 978-1-349-81549-4

  • Online ISBN: 978-1-349-81547-0

  • eBook Packages: Palgrave History CollectionHistory (R0)

Publish with us

Policies and ethics