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The Entropy Production Function and Its Application to the Multi-commodity and Multi-sector Model

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  • Miyagi, Toshihiko

Abstract

Although the entropy function has been widely used in regional science, its underlying economic implications do not seem to have been explored in a significant way. The main purpose of this paper is an attempt to reconcile entropy model approaches with production theory in economics. In order to do so, we start with an appropriate assumption about cross-price elasticities of the input demand function of individual firms, and show that the existence of variations in price elasticities among demanded commodities induces heterogeneous production behaviour. As a result, we can have an entropic form of the production function. This type of production function is first developed for a single output firm, then extended to include multi-output and multi-input production industries.

Suggested Citation

  • Miyagi, Toshihiko, 1994. "The Entropy Production Function and Its Application to the Multi-commodity and Multi-sector Model," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 28(4), pages 345-367, December.
  • Handle: RePEc:spr:anresc:v:28:y:1994:i:4:p:345-67
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    1. Jan Oosterhaven & Ed C van der Knijff & Gerard J Eding, 2003. "Estimating Interregional Economic Impacts: An Evaluation of Nonsurvey, Semisurvey, and Full-Survey Methods," Environment and Planning A, , pages 5-18.
    2. repec:dgr:rugsom:04c01 is not listed on IDEAS
    3. Erik Dietzenbacher, 2005. "More on multipliers," Journal of Regional Science, Wiley Blackwell, vol. 45(2), pages 421-426.
    4. Oosterhaven, Jan, 2004. "On the definition of key sectors and the stability of net versus gross multipliers," Research Report 04C01, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
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