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...

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...

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...

The purpose of this paper is to explain the role of financial assets in allowing individual agents of an economy to make at time 0 some limited commitments into the future which, at some extent, redistribute their revenue among several time periods and different states of the world.

In this paper, we formulate a restatement of the theory of choice under uncertainty. As an alternative to the rank-dependent expected utility model, we develop a probability-altering theory in which the transformation of probabilities is weighted by the centered outcome of the lottery which may...

In frictionless securities markets, the characterization of the no arbitrage condition by the existence of equivalent martingale measures in discrete time is known as the fundamental Theorem of Asset Pricing. In the presence of convex constraints on the trading strategies, we extend this theorem...