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Duality With Sector‐Specific Externalities Under Social Constant Returns

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  • KAZUO NISHIMURA
  • KOJI SHIMOMURA
  • PING WANG

Abstract

We develop dual approaches to quantity and price relationships of production in a general multisectoral model with sector‐specific externalities. The production of each good exhibits socially constant returns to scale but privately decreasing returns. We find that the Stolper‐Samuelson theorem holds for factor intensity ranking from the social perspective and that the Rybczynski theorem holds for factor intensity ranking from the private perspective. The price‐output dual fails to hold in general. Moreover, we re‐establish the Heckscher‐Ohlin theorem in the two‐sector case, as well as the factor endowment–factor price and price‐output comparative statics in the high‐dimension case under proper conditions.

Suggested Citation

  • Kazuo Nishimura & Koji Shimomura & Ping Wang, 2006. "Duality With Sector‐Specific Externalities Under Social Constant Returns," The Japanese Economic Review, Japanese Economic Association, vol. 57(4), pages 467-475, December.
    • Handle: RePEc:bla:jecrev:v:57:y:2006:i:4:p:467-475
    DOI: 10.1111/j.1468-5876.2006.00397.x
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    Cited by:

    1. Barinci, Jean-Paul & Cho, Hye-Jin & Drugeon, Jean-Pierre, 2021. "On equilibrium elasticities of substitution in simple overlapping generations economies with heterogeneous goods," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 120-137.
    2. Jean-Paul Barinci & Hye-Jin Cho & Jean-Pierre Drugeon, 2021. "On equilibrium elasticities of substitution in simple overlapping generations economies with heterogeneous goods," PSE-Ecole d'économie de Paris (Postprint) halshs-03238950, HAL.

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