This paper explores the consequences of non-additive expected utility on risk-sharing and equilibrium in a general equilibrium set-up. We establish that convexity of an agent's preferences (or strong uncertainty aversion) is equivalent to the convexity of his capacity and concavity of his...

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...

We study the Nash bargaining solution of a problem in which two agents bargain over an uncertain outcome. Under the assumptions of risk neutrality and of constant absolute risk aversion, we study the way that solution varies, ex ante, when we vary the beliefs of one agent. Changing an agent`s...

In this paper, we show that the third inverse stochastic dominances introduced by Muliere and Scarsini (1989) is nicely connected with the Yaari's dual model. We show especially that the third inverse stochastic dominance is closely linked with the non-negativity of third derivative of the...

In a seminal paper, Kolm [14] introduces the principle diminishing transfer. This principle requires that a transfert from an individual with income x to one with income x - D(D 0) has a greater impact on social welfare the lower x is. On the other hand Mehran [15] and Kakwani [11] introduced...

In a previous paper, Abouda and Chateauneuf proved that for RDEU maximizing MM with non-increasing marginal utility, positivity of the bid-ask spread can be identified with a very weak form of risk aversion SMRA. We perform here a more thorough study of SMRA, firstly in a general setting, and...

We study attitudes towards risk in the Rank Dependent Expected Utility (RDEU) model. This model replaces expected utility by another functional, which is characterised by two functions, a utility function on outcomes in conjunction with a probability-perception function. We use the notion of...

Normative models of behaviour under risk in the framework of expected utility (EU) or under uncertainty in the framework of subjective expected utility (SEU) are very limited. In this survey paper, it is shown that non-expected utility (non-EU) models based on the Choquet integral allow for much...