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Crisis sociales y singularidades. Los fundamentos microeconómicos de las crisis sociales


  • Elvio Accinelli Gamba

    () (Universidad Autónoma de San Luis Potosí. Facultad de Economía.)

  • Leobardo Plata Pérez

    () (Universidad Autónoma de San Luis Potosí. Facultad de Economía.)


In this paper we show the strong relation existing between efficiency and social welfare. We introduce the concept of Negishi path, a differentiable manifold that shows the relation between distributions of social weights and efficient allocations. We show that it is possible to assign to each efficient allocation a certain level of social welfare, and that given the total resources of an economy and the utilities of its agents, there exits a maximal level possible of social welfare for this economy. This level will be called the Negishi number and it is independent of the distribution of the total resources. We analyze also, the strong relation existing between social crisis and distribution of the initial resources, with this object we introduce the concept of singular economies, and we show that, for these economies small changes in the endowments imply big and unpredictable social changes in the social structure and in the level of social welfare. Finally we introduce in the framework of the General Equilibrium Theory, a definition of developed and underdeveloped economies. Our guide in this trip will be the Negishi approach.

Suggested Citation

  • Elvio Accinelli Gamba & Leobardo Plata Pérez, 2008. "Crisis sociales y singularidades. Los fundamentos microeconómicos de las crisis sociales," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(2), pages 49-88, November.
  • Handle: RePEc:ere:journl:v:xxvii:y:2008:i:2:p:49-88

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    References listed on IDEAS

    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. Dasgupta, Partha & Ray, Debraj, 1987. "Inequality as a Determinant of Malnutrition and Unemployment: Policy," Economic Journal, Royal Economic Society, vol. 97(385), pages 177-188, March.
    3. Mas-Colell, Andreu & Nachbar, John H., 1991. "On the finiteness of the number of critical equilibria, with an application to random selections," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 397-409.
    4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    5. Dasgupta, Partha & Ray, Debraj, 1986. "Inequality as a Determinant of Malnutrition and Unemployment: Theory," Economic Journal, Royal Economic Society, vol. 96(384), pages 1011-1034, December.
    6. Elvio Accinelli, 1996. "Some remarks about uniquenes of equilibrium for infinite dimensional economies," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 11(1), pages 3-32.
    7. Elvio Accinelli, 2001. "Economias singulares," Lecturas de Economía, Universidad de Antioquia, Departamento de Economía, issue 54, pages 7-33, Enero Jun.
    8. Elvio Accinelli, 2003. "About manifolds and determinacy in general equilibrium theory," Estudios de Economia, University of Chile, Department of Economics, vol. 30(2 Year 20), pages 169-177, December.
    9. Elvio Accinelli, 2007. "Structural stability, Morse's lemma and singular economies," Documentos de Trabajo (working papers) 0607, Department of Economics - dECON.
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    More about this item


    : Social weights and efficiency; social crisis; regular and singular economies; Negishi approach;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • O12 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development


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