Samuel Drapeau

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In the paradigm of von Neumann and Morgenstern, a representation of a ne preferences in terms of an expected utility can be obtained under the assumption of weak continuity. Since the weak topology is coarse, this requirement is a priori far from being negligible. In this work, we replace the assumption of weak continuity by monotonicity. More precisely, on(More)
This paper provides a unified framework, which allows, in particular, to study the structure of dynamic monetary risk measures and dynamic acceptability indices. The main mathematical tool, which we use here, and which allows us to significantly generalize existing results is the theory of L-modules. In the first part of the paper we develop the general(More)
We consider a risk preference given by a total preorder < on the setM1,c of probability distributions on R with compact support, that is, a transitive binary relation such that for all μ, ν ∈ M1,c one has μ < ν or μ 4 ν or both. Elements μ ofM1,c are understood as lotteries, and μ < ν means that μ is at least as risky as ν. The goal of the paper is to(More)
*Correspondence: 2Universität Konstanz, Universitätsstraße 10, Konstanz, 78464, Germany Full list of author information is available at the end of the article Abstract The classical Brouwer fixed point theorem states that inRd every continuous function from a convex, compact set on itself has a fixed point. For an arbitrary(More)
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