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Augustin cournot and neoclassical economics

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  • Clarence Morrison

Abstract

This paper compares Cournot's exposition of elasticity of demand and the theory of the firm with modern exposition. In the case of the theory of the firm, this comparison is accomplished by translating the modern textbook exposition into Cournot's mathematics. It is demonstrated that Cournot's exposition translates into current usage in all cases but that the degree of convolution in the translation process varies from case to case. For elasticity, only trivial algebraic manipulation is involved. For monopoly, the inverse derivative rule translates Cournot's exposition into current usage. The case of perfect competition is much more complicated. Although Cournot gets the same result as current theory, his mathematics doesn't translate directly into current usage. But a comparison in the text that doesn't appear in his mathematics suggests that he considered the modern derivation but chose to use another derivation. One reason for doing this is rather obvious. It fits better into Cournot's unified approach to the theory of the firm. It might also be judged more elegant and mathematically precise. With regard to oligopoly, Cournot provided, in a different contest, the analytical structure that is now used in IO to analyze differentiated oligopoly. It is retierated that Cournot had a general method for finding equilibria for non-cooperative games and was aware of the fact that his method was more general than a single application. The relation between Cournot equilibria and Nash equilibria is discussed. Copyright International Atlantic Economic Society 2003

Suggested Citation

  • Clarence Morrison, 2003. "Augustin cournot and neoclassical economics," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 31(2), pages 123-132, June.
  • Handle: RePEc:kap:atlecj:v:31:y:2003:i:2:p:123-132
    DOI: 10.1007/BF02319865
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    References listed on IDEAS

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    1. Reghinos D. Theocharis, 1983. "Early Developments in Mathematical Economics," Palgrave Macmillan Books, Palgrave Macmillan, edition 0, number 978-1-349-04949-3, December.
    2. James W. Friedman, 2000. "The legacy of Augustin Cournot," Cahiers d'Économie Politique, Programme National Persée, vol. 37(1), pages 31-46.
    3. repec:ucp:bkecon:9780226199993 is not listed on IDEAS
    4. R. Myerson, 2010. "Nash Equilibrium and the History of Economic Theory," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 6.
    5. Hugo Sonnenschein, 1968. "The Dual of Duopoly Is Complementary Monopoly: or, Two of Cournot's Theories Are One," Journal of Political Economy, University of Chicago Press, vol. 76(2), pages 316-316.
    6. Scott Gordon, 1982. "Why Did Marshall Transpose the Axes?," Eastern Economic Journal, Eastern Economic Association, vol. 8(1), pages 31-45, Jan-Mar.
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