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Title: Risk aversion, prudence and mixed optimal saving models (English)
Author: Georgescu, Irina
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 50
Issue: 5
Year: 2014
Pages: 706-724
Summary lang: English
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Category: math
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Summary: The paper studies risk aversion and prudence of an agent in the face of a risk situation with two parameters, one described by a fuzzy number, the other described by a fuzzy variable. The first contribution of the paper is the characterization of risk aversion and prudence in mixed models by conditions on the concavity and the convexity of the agent's utility function and its partial derivatives. The second contribution is the building of mixed models of optimal saving and their connection with the concept of prudence and downside risk aversion. (English)
Keyword: possibilistic risk aversion
Keyword: prudence
Keyword: optimal saving
MSC: 03E72
MSC: 91B30
MSC: 91B99
MSC: 94D05
idZBL: Zbl 1308.91082
idMR: MR3301856
DOI: 10.14736/kyb-2014-5-0706
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Date available: 2015-01-13T09:27:24Z
Last updated: 2016-01-03
Stable URL: http://hdl.handle.net/10338.dmlcz/144102
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Reference: [1] Arrow, K. J.: Essays in the theory of risk bearing..North-Holland, Amsterdam 1970. Zbl 0215.58602, MR 0363427
Reference: [2] Carlsson, C., Fullér, R.: On possibilistic mean value and variance of fuzzy numbers..Fuzzy Sets Syst. 122 (2001), 315-326. Zbl 1016.94047, MR 1854821
Reference: [3] Carlsson, C., Fullér, R.: Possibility for Decision..Springer 2011. Zbl 1227.91002, MR 2828468
Reference: [4] Courbage, C., Rey, B.: Precautionary saving in the presence of other risks..Econom. Theory 32 (2007), 417-424. Zbl 1159.91418, MR 2308938, 10.1007/s00199-006-0178-3
Reference: [5] Courbage, C., Rey, B.: On the shape of non-monetary measures in the face of risk..In: The 36th Seminar of the European Group of Risk and Insurance Economists (EGRIE), Bergen 2009.
Reference: [6] Crainich, D., Eeckhoudt, L.: On the intensity of downside risk aversion..J. Risk Uncertainty 36 (2008), 267-276. Zbl 1151.91428, 10.1007/s11166-008-9037-x
Reference: [7] Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications..Academic Press, New York 1980. Zbl 0444.94049, MR 0589341
Reference: [8] Dubois, D., Prade, H.: Possibility Theory..Plenum Press, New York 1988. Zbl 1272.03015, MR 1104217
Reference: [9] Duncan, G. T.: A matrix measure of multivariate local risk aversion..Econometrica 45 (1977), 895-903. Zbl 0367.90017, MR 0496493, 10.2307/1912680
Reference: [10] Eeckhoudt, L., Schlesinger, H.: Putting risk in its proper place..Amer. Econom. Rev. 96 (2006), 280-289. 10.1257/000282806776157777
Reference: [11] Eeckhoudt, L., Gollier., C., Schlesinger, H.: Economic and Financial Decisions under Risk..Princeton University Press, 2005.
Reference: [12] Friedman, M., Savage, L.: The utility analysis of choices involving risk..J. Polit. Econom. 56 (1948), 279-304. 10.1086/256692
Reference: [13] Fullér, R., Majlender, P.: On weighted possibilistic mean and variance of fuzzy numbers..Fuzzy Sets Syst. 136 (2003), 363-374. Zbl 1022.94032, MR 1984582
Reference: [14] Georgescu, I.: Possibilistic risk aversion..Fuzzy Sets Syst. 60 (2009), 2608-2619. Zbl 1269.91031, MR 2589107
Reference: [15] Georgescu, I.: A possibilistic approach to risk aversion..Soft Comput. 15 (2011), 795-801. Zbl 1243.91026, 10.1007/s00500-010-0634-7
Reference: [16] Georgescu, I., Kinnunen, J.: Multidimensional risk aversion with mixed parameters..In: The 6th IEEE International Symposium on Applied Computational Intelligence and Informatics (SACI 2011), Timisoara 2011, pp. 63-68.
Reference: [17] Gollier, C.: The Economics of Risk and Time..MIT Press, 2004. Zbl 0991.91001
Reference: [18] Hellwig, M.: Risk aversion in the small and in the large when outcomes are multidimensional..Preprints of the Max Planck Institute for Research on Collective Goods, Bonn 2006. MR 1859482
Reference: [19] Jouini, E., Napp, C., Nocetti, D.: On multivariate prudence..J. Econom. Theory. 148 (2013), 1255-1267. Zbl 1285.91043, MR 3055661, 10.1016/j.jet.2012.10.007
Reference: [20] Karni, E.: On multivariate risk aversion..Econometrica 47 (1979), 1391-1401. Zbl 0431.90013, MR 0550940, 10.2307/1914007
Reference: [21] Kimball, M.: Precautionary saving in the small and in the large..Econometrica 58 (1990), 58-73. MR 1046919, 10.2307/2938334
Reference: [22] Leland, H. E.: Saving and uncertainty: the precautionary demand for saving..Quarterly J. Econom. 82 (1968), 465-473. 10.2307/1879518
Reference: [23] Menegatti, M.: Optimal saving saving in the presence of two risks..J. Econom. 96 (2009), 277-288.
Reference: [24] Menezes, C., Geiss, C., Tressler, J.: Increasing downside risk..Amer. Econom. Rev. 70 (1980), 921-932.
Reference: [25] Niculescu, C. P., Perrson, L. E.: Convex Functions and their Applications: A Contemporary Approach..Springer, 2005. MR 2178902
Reference: [26] Pratt, J.: Risk aversion in the small and in the large..Econometrica 32 (1964), 122-130. Zbl 0267.90010, 10.2307/1913738
Reference: [27] Sandmo, A.: The effect of uncertainty on saving decision..Rev. Econom. Studies 37 (1970), 353-360. 10.2307/2296725
Reference: [28] Zadeh, L. A.: Fuzzy sets as a basis for a theory of possibility..Fuzzy Sets Syst. 1 (1978), 3-28. Zbl 0377.04002, MR 0480045
Reference: [29] Zhang, W. G., Wang, Y. L.: A comparative study of possibilistic variances and covariances of fuzzy numbers..Fund. Inform. 79 (2007), 257-263. MR 2346245
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