A possibilistic approach to risk premium
نویسنده
چکیده
Risk aversion is one of the main themes in risk theory. Risk theory is treated usually by probability theory. The aim of this paper is to propose an approach of the risk aversion by possibility theory initiated by Zadeh in 1978 as an alternative of probability theory in the modeling of uncertain situations. The main notions studied in this paper are the possibilistic risk premium and the possibilistic relative risk premium associated with a fuzzy number A and a utility function u. They reflect the risk aversion of an agent faced with an uncertain situation characterized by a fuzzy number. Under the hypothesis that the utility function u verifies certain hypotheses, one proves a formula which evaluates the possibilistic risk premium and the possibilistic relative risk premium in terms of Arrow-Pratt index and two possibilistic indicators ( the expected value and a strong variance of a fuzzy number). Another result is possibilistic Pratt theorem for comparing the risk aversion of two agents ( represented by two utility functions u1 and u2).
منابع مشابه
A possibilistic approach to risk aversion
Possibility theory was initiated by Zadeh in 1978 as an alternative to probability theory. Probability theory is not efficient in the study of those uncertainty situations in which phenomena occur with a small frequency. In such cases it is preferable to apply techniques offered by possibility theory.In foundation of possibility theory one started on a paralel line with probability theory. Rand...
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