On the Sraffa-Leontief model

Michael Sonis, Geoffrey J.D. Hewings

Research output: Contribution to journalArticlepeer-review


In this paper we consider the matrix forms of the Sraffa-Leontief income distribution model px=(1+r)pAx+w*p(I-A)x introduced by Steenge (1995, 1997). We will explore the equivalence between these matrix forms and the set of simpler models, including the Sraffian con-dition of linear relations between the rate of profits r and wage rate w*. Further, we will evaluate the condition that the price vector p and the commodities vector x are the left-hand and the right-hand eigenvectors of the matrix A of direct inputs and that these vectors are the fixed points of the Sraffian standard commodities-standard prices matrix. We will then explore links between the Sraffa-Leontief system and the multiplier product matrix (MPM) for the matrix A to consider new insights generated through visualization with the help an artificial economic landscape. Further-more, the connections between MPM and the Sraffian standard commodities-standard prices matrix and their minimal information properties are proven.

Original languageEnglish (US)
Pages (from-to)39-63
Number of pages25
JournalReview of Regional Studies
Issue number1
StatePublished - Dec 1 2007


  • Minimum information properties
  • Multiplier product matrix
  • Sraffa-Leontief income distribution model
  • Sraffian standard commodities-standard prices matrix

ASJC Scopus subject areas

  • Geography, Planning and Development
  • Earth-Surface Processes


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