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Regular economies with ambiguity aversion

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  • Noé Biheng

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Jean-Marc Bonnisseau

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We consider a family of exchange economies where consumers have multiprior preferences representing their ambiguity aversion. Under a linear independence assumption, we prove that regular economies are generic. Regular economies exhibit enjoyable properties: odd finite number of equilibrium prices, local constancy of this number and local differentiable selections of the equilibrium prices. Thus, even if ambiguity aversion is represented by non-differentiable multiprior preferences, economies retain generically the properties of the differentiable approach.

Suggested Citation

  • Noé Biheng & Jean-Marc Bonnisseau, 2013. "Regular economies with ambiguity aversion," Post-Print halshs-00922782, HAL.
    • Handle: RePEc:hal:journl:halshs-00922782
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00922782
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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, September.
    2. repec:dau:papers:123456789/5393 is not listed on IDEAS
    3. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    4. Nishimura, Kiyohiko G. & Ozaki, Hiroyuki, 2004. "Search and Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 119(2), pages 299-333, December.
    5. Zengjing Chen & Larry Epstein, 2002. "Ambiguity, Risk, and Asset Returns in Continuous Time," Econometrica, Econometric Society, vol. 70(4), pages 1403-1443, July.
    6. J. M. Bonnisseau & J. Rivera-Cayupi, 2006. "Constrained Consumptions, Lipschitzian Demands, and Regular Economies," Journal of Optimization Theory and Applications, Springer, vol. 131(2), pages 179-193, November.
    7. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    8. repec:dau:papers:123456789/5463 is not listed on IDEAS
    9. Yves Balasko, 2011. "General Equilibrium Theory of Value," Economics Books, Princeton University Press, edition 1, number 9482.
    10. G. Carlier & R.A. Dana & N. Shahidi, 2003. "Efficient Insurance Contracts under Epsilon-Contaminated Utilities," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 28(1), pages 59-71, June.
    11. Epstein, Larry G & Wang, Tan, 1994. "Intertemporal Asset Pricing Under Knightian Uncertainty," Econometrica, Econometric Society, vol. 62(2), pages 283-322, March.
    12. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    13. Rader, J Trout, 1973. "Nice Demand Functions," Econometrica, Econometric Society, vol. 41(5), pages 913-935, September.
    14. Wakker, Peter, 1987. "Subjective probabilities for state dependent continuous utility," Mathematical Social Sciences, Elsevier, vol. 14(3), pages 289-298, December.
    15. Rose-Anne Dana, 2004. "Ambiguity, uncertainty aversion and equilibrium welfare," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 569-587, March.
    16. Shannon, Chris, 1994. "Regular nonsmooth equations," Journal of Mathematical Economics, Elsevier, vol. 23(2), pages 147-165, March.
    17. Karni, Edi & Schmeidler, David & Vind, Karl, 1983. "On State Dependent Preferences and Subjective Probabilities," Econometrica, Econometric Society, vol. 51(4), pages 1021-1031, July.
    18. Rigotti, Luca & Shannon, Chris, 2012. "Sharing risk and ambiguity," Journal of Economic Theory, Elsevier, vol. 147(5), pages 2028-2039.
    19. CORNET, Bernard & VIAL, Jean-Philippe, 1986. "Lipschitzian solutions of perturbed nonlinear programming problems," LIDAM Reprints CORE 726, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Noé Biheng, 2016. "A Generalization of the Expenditure Function," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 661-676, February.
    2. Michael Zierhut, 2021. "Generic regularity of differentiated product oligopolies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 341-374, February.

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    More about this item

    Keywords

    Demand function; general equilibrium; ambiguity aversion; multiprior preferences; regular economies; Lipschitz behavior; Fonction de demande; équilibre général; aversion à l'ambiguïté; préférences avec une multiplicité de probabilités; économies régulières; comportement lipschitzien;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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