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Рыночное Равновесие Без Рынка: Модель Эрроу–Дебре И Эпистемологический Кризис Мейнстрима
[Market equilibrium without the market: the Errow-Debrah model and the epistemological crisis of the mainstream]

Author

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  • Leiashvily, Paata

Abstract

The Arrow–Debreu model is regarded as the benchmark of rigor in neoclassical theory and the mathematical form of the “invisible hand.” This essay contests that status. Its starting claim is simple. The conditions under which the model proves the existence of equilibrium do not idealize the market but negate it: in a world of complete contingent markets, without money, irreversible time, or genuine uncertainty, a market is neither needed nor possible. The model proves equilibrium precisely where no market exists. Hence its central conclusion. The existence theorem and the two welfare theorems yield no gain in knowledge about the real economy. They yield knowledge about the properties of a specially constructed system; they are called “economic” by intended subject matter, not by the knowledge obtained. The essay shows how this differs from legitimate idealization in physics: a Galilean model can be de-idealized, the Arrow–Debreu model cannot, and reality does not converge to it even asymptotically (SMD). In this the author sees an epistemological crisis of the mainstream — one sustained not by the force of argument but by institutional reproduction through departments, journals, and textbooks. The critique takes an unusual form: four dialogues with artificial intelligence (DeepSeek, Claude, ChatGPT, Gemini). Its value lies not in the systems’ agreement but in the resistance that had to be overcome: independently trained yet disposed to defend the mainstream, under sustained pressure each denied the model the status of economic knowledge. The dialogues also expose a second theme — how a dominant paradigm entrenches itself as “common sense,” including within AI tools. The stakes exceed academic dispute: they concern the content of economic education and the discipline’s way out of its crisis.

Suggested Citation

  • Leiashvily, Paata, 2026. "Рыночное Равновесие Без Рынка: Модель Эрроу–Дебре И Эпистемологический Кризис Мейнстрима [Market equilibrium without the market: the Errow-Debrah model and the epistemological crisis of the mainstream]," MPRA Paper 130906, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:130906
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    References listed on IDEAS

    as
    1. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
    2. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
    3. Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-563, May.
    4. Hausman,Daniel M., 1992. "The Inexact and Separate Science of Economics," Cambridge Books, Cambridge University Press, number 9780521415019, December.
    5. Hausman,Daniel M., 1992. "The Inexact and Separate Science of Economics," Cambridge Books, Cambridge University Press, number 9780521425230, December.
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    JEL classification:

    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • B50 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - General
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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