We give in this paper a formal definition of the concept of weak and strong a-polarization. We give necessary and sufficient conditions for a decision maker who respects the Lorenz order and who behaves in accordance with the expected utility model, with Yaari's dual model or with the...

A usual argument in finance refers to no arbitrage opportunities for the positivity of the bid-ask spread. Here we follow the decision theory approach and show that if positivity of the bid-ask spread is identified with strong risk aversion for an expended utility market-marker, this is no...

Cumulative prospect theory was introduced by Tversky and Kahneman to combine the empirical realism of their original prospect theory with the theoretical advantages of rank-dependent utility. Preference axiomatizations were provided in several papers. All exosting axiomatizations, however, only...