Zeszyt 51/2018

Kolegium Analiz Ekonomicznych oświadcza, że wersją pierwotną czasopisma jest wersja papierowa.

Marek Kałuszka, Wioletta Szeligowska

O modelu awersji do ryzyka Arrowa-Pratta dla uogólnionej całki Choqueta

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On the Arrow-Pratt risk aversion model for the generalized Choquet integral

Abstract
In the 1970s Kahneman and Tversky conducted a series of experiments which suggested that people do not behave accordingly to the von Neumann-Morgenstern’s Expected Utility Theory. Therefore, they proposed an alternative theory, called the Cumulative Prospect Theory, in which they used the Choquet integral with respect to distorted probability measures to describe decision making in risk and uncertainty conditions. The paper presents the generalized Arrow-Pratt risk aversion model, when the classic expected value is replaced by the generalized Choquet integral. To do this, we require necessary and sufficient conditions for the Jensen type inequality for the generalized Choquet integral with respect to arbitrary monotone measure, that is not an additive set function. We will provide some results of this type and point the difficulties that show up without the additivity assumption.

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spis treści zeszytu 51

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