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...

This paper adapts the methods of Minimax-Hedging developped in Bernis & Giraud [2000] to other models of financial markets, including discontinuous semi-martingale. The measure of the risk is defined as the value of a zero-sum game between the investor and a fictitious player, representing the...

We study the Nash bargaining solution of a problem in which two agents bargain over an uncertain outcome. Under the assumption 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 beliefs in a way that...

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...

In this chapter, we derive Yaari's model of decision under risk in connection with Schmeidler's model of decision under uncertainty. The model is illustrated with two applications in insurance theory. Final comments concern the general Rank Dependent Expected Utility (RDEU) model.

We consider a financial market consisting of a nonrisky asset and a risky one. We study the minimal initial capital needed in order to super-replicate a given contingent claim under the Gamma constraint, i.e. a constraint on the unbounded variation part of the hedging porfolio. In the general...

We consider a stylized bond-equity economy, which though incomplete per se, has a rich enough set of assets available for trade such that given standard assumptions about behavior under uncertainty, the equilibrium allocation would arbitrarily approximate a complete market allocation. We show,...

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...

Kinckerbocker (1973) introduced "oligopolistic reaction" to explain why firms follow rivals into foreign markets. We develop a model that incorporates the central features of Kinckerbocker's story -oligopoly, uncertainty, and risk aversion- to establish the conditions required to generate...