Miklós Rásonyi 
            
Investment decisions
 
 
In mainstream economic theory agents are supposed to maximise the expected
utility of the return on their investments under the objective probability measure.
Furthermore, they are assumed to be risk-averse (which results in concave optimisation problems).
Real investors are often found to be risk-seeking and they distort the objective
probability, creating non-concave optimisation problems involving non-linear expectations
which lead to more exciting mathematics as well as to pitfalls. We will present some recent
results and open problems.