Title:
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Risk aversion, prudence and mixed optimal saving models (English) |
Author:
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Georgescu, Irina |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 (print) |
ISSN:
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1805-949X (online) |
Volume:
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50 |
Issue:
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5 |
Year:
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2014 |
Pages:
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706-724 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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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:
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possibilistic risk aversion |
Keyword:
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prudence |
Keyword:
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optimal saving |
MSC:
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03E72 |
MSC:
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91B30 |
MSC:
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91B99 |
MSC:
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94D05 |
idZBL:
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Zbl 1308.91082 |
idMR:
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MR3301856 |
DOI:
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10.14736/kyb-2014-5-0706 |
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Date available:
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2015-01-13T09:27:24Z |
Last updated:
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2016-01-03 |
Stable URL:
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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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