We study the preferences
of agents for diversification and better outcomes when they are facing both, in Frank Knight's
formulation,
measurable as well as
unmeasurable uncertainty. Following Anscombe and Aumann, such a situation can be modeled by preferences
expressed on stochastic kernels,
that is scenario dependent lotteries. By means of automatic continuity methods based on Banach-Dieudonné's
Theorem on Fréchet spaces, we
provide a robust representation. This gives us some insight into the
nature of uncertainty aversion
these preferences are expressing. We further investigate under which conditions these two intricate
dimensions of uncertainty can be
disentangle into a distributional uncertainty, in the direction of von Neumann and Morgenstern's theory, and a
probability model uncertainty, in
the spirit of risk measures. These results allow in particular to address both Allais as well as Elsberg's
paradox.
LOCATION:
The seminar will be held on Wednesday, 15 January, at 18.00
at Aula di Rappresentanza, Department of Mathematics, Milano University, Via
Saldini 50, Milano.
A refreshment will be offered at
17.30.
Scientific Committee:
Prof. Marco Frittelli (Univ.
degli Studi di Milano)
Prof. Fabio Maccheroni (Univ. Bocconi)
Prof.
Massimo Marinacci (Univ. Bocconi)
Prof. Emanuela Rosazza Gianin (Univ.
Milano-Bicocca)
Dott. Simone
Cerreia-Voglio (Univ. Bocconi)
Dott. Marco Maggis (Univ. degli Studi di
Milano)
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Emanuela
Rosazza Gianin
Dipartimento di Statistica e Metodi Quantitativi
Universitŕ di Milano Bicocca
Edificio U7 – 4° Piano
Via Bicocca degli
Arcimboldi, 8
20126 Milano
Tel. 02 64483208
Fax. 02
64483105
e-mail: emanuela.rosazza1@unimib.it
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