Abstract
In this paper we study the optimal saving problem in the framework of possibility theory. The notion of possibilistic precautionary saving is introduced as a measure of the way the presence of risk (represented by a fuzzy number) influences a consumer in establishing the level of optimal saving. The equivalence between the prudence condition (in the sense of Kimball) and a positive possibilistic precautionary saving is proved. Some relations between possibilistic risk aversion, prudence and possibilistic precautionary saving are established.
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References
Arrow, K.J.: Essays in the Theory of Risk Bearing. North Holland, Amsterdam (1970)
Carlsson, C., Fullér, R.: On possibilistic mean value and variance of fuzzy numbers. Fuzzy Sets Syst. 122, 315–326 (2001)
Carlsson, C., Fullér, R.: Possibility for Decision. Springer (2011)
Drèze, J., Modigliani, F.: Consumption decision under uncertainty. J. Economic Theory 5, 308–355 (1972)
Dubois, D., Prade, H.: Possibility Theory. Plenum Press, New York (1988)
Eeckhoudt, L., Gollier, C., Schlesinger, H.: Economic and Financial Decisions under Risk. Princeton University Press (2005)
Georgescu, I.: Possibility Theory and the Risk. Springer (2012)
Kimball, M.S.: Precautionary saving in the small and in the large. Econometrica 58, 53–73 (1990)
Leland, H.: Saving and uncertainty: the precautionary demand for saving. Quarterly J. Economics 82, 465–473 (1968)
Pratt, J.: Risk aversion in the small and in the large. Econometrica 32, 122–130 (1964)
Rudin, W.: Analizǎ Realǎ s¸i Complexǎ. Ediţia a III-a, Theta, Bucharest (1999)
Sandmo, A.: The effect of uncertainty on saving decision. Rev. Economic Studies 37, 353–360 (1970)
Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst. 1, 3–28 (1978)
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© 2013 Springer International Publishing Switzerland
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Casademunt, A.M.L., Georgescu, I. (2013). Optimal Saving and Prudence in a Possibilistic Framework. In: Omatu, S., Neves, J., Rodriguez, J., Paz Santana, J., Gonzalez, S. (eds) Distributed Computing and Artificial Intelligence. Advances in Intelligent Systems and Computing, vol 217. Springer, Cham. https://doi.org/10.1007/978-3-319-00551-5_8
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DOI: https://doi.org/10.1007/978-3-319-00551-5_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-00550-8
Online ISBN: 978-3-319-00551-5
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