Continuity of Production Correspondences and a Relation between Efficient Input and Output Vectors

  • Georg Bol
Conference paper
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 99)

Abstract

This paper deals with the description of multi-commodity production by the concept of production correspondences. As in the papers of Shephard [8], Jacobsen [5] etc., we use two correspondences, the “production correspondence”, denoted by P and its “inverse” correspondence denoted by L — we call the pair (L,P) a production system -; as initial concept we use that given by Opitz [6,7], which, in particular, means, that there are no assumptions about convexity (resp. concavity).

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Bol, Gerrit: Über Auswahlsätze. Math.Physikal.Semesterberichte XII (1965).Google Scholar
  2. [2]
    Bol, Georg: Stetigkeit bei mengenwertigen Produktionsfunktionen. R.Henn: Operations-Research-Verfahren XI, 1972Google Scholar
  3. [3]
    Förstner, K.: Produktions- und Verbrauchsfunktionen bei der Herstellung eines Gutes mit zwei Faktoren. R.Henn: OR-Verfahren V, 1968Google Scholar
  4. [4]
    Henn, R., Opitz, O.: Konsum- und Produktionstheorie II. Lecture Notes in OR. Springer, 1972Google Scholar
  5. [5]
    Jacobson, S.: Production correspondences. Econometrica 38 (1970)Google Scholar
  6. [6]
    Opitz, O.: Zum technischen Optimierungsproblem des Unternehmers. Schweizerische Zeitschrift für Volkswirtschaft und Statistik 106, 1970Google Scholar
  7. [7]
    Opitz, O.: Zum Problem der Aktivitätsanalyse. Zeitschrift für die gesamte Staatswissenschaft 127, 1971Google Scholar
  8. [8]
    Shephard, R.W.: Theory of cost and production functions. Princeton University Press, 1970.Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 1974

Authors and Affiliations

  • Georg Bol

There are no affiliations available

Personalised recommendations