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Survival, Uncertainty, and Equilibrium Theory: An Exposition

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  • Majumdar, Mukul

    (Cornell U)

  • Hashimzade, Nigar

    (U of Exeter)

Abstract

Summary The last twenty years have witnessed a significant growth of the literature on the “survival problem”, primarily in the context of the causes and remedies of famines. Once a subject essentially of empirical development economics, economic survival became an issue of analytical economics and, most recently, of general equilibrium theory. We review several issues of the survival problem in the general equilibrium framework. First, we consider a Walrasian economy with intrinsic uncertainty affecting the endowments and compute the asymptotic probability of survival under different assumptions of dependence among the agents. Next, we show how the presence of extrinsic uncertainty in a dynamic economy may lead to a ruin in a sunspot equilibrium. Finally, we analyze the link between survival and specialization in production.
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Suggested Citation

  • Majumdar, Mukul & Hashimzade, Nigar, 2004. "Survival, Uncertainty, and Equilibrium Theory: An Exposition," Working Papers 04-03, Cornell University, Center for Analytic Economics.
  • Handle: RePEc:ecl:corcae:04-03
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    References listed on IDEAS

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    1. Vladimir Rotar & Mukul Majumdar, 2000. "Equilibrium prices in a random exchange economy with dependent agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 531-550.
    2. Rinott, Yosef & Rotar, Vladimir, 1996. "A Multivariate CLT for Local Dependence withn-1/2 log nRate and Applications to Multivariate Graph Related Statistics," Journal of Multivariate Analysis, Elsevier, vol. 56(2), pages 333-350, February.
    3. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
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    Cited by:

    1. Liuchun Deng & Minako Fujio & M. Ali Khan, 2022. "On Sustainability and Survivability in the Matchbox Two-Sector Model: A Complete Characterization of Optimal Extinction," Papers 2202.02209, arXiv.org.

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