Uniqueness of Kusuoka Representations

This paper addresses law invariant coherent risk measures and their Kusuoka representations. By elaborating the existence of a minimal representation we show that every Kusuoka representation can be reduced to its minimal representation. Uniqueness -- in a sense specified in the paper -- of the risk measure's Kusuoka representation is derived from this initial result. Further, stochastic order relations are employed to identify the minimal Kusuoka representation. It is shown that measures in the minimal representation are extremal with respect to the order relations. The tools are finally employed to provide the minimal representation for important practical examples. Although the Kusuoka representation is usually given only for nonatomic probability spaces, this presentation closes the gap to spaces with atoms

Tekster og fortolkninger eller homo hermeneuticus. (in Norwegian, Bokmål)

Abstract: Two approaches to the interpretation of Wittgenstein's works are much debated: the "text-immanent" approach on the one hand and the "contextual" approach on the other hand. Both sides in the dispute have produced arguments for their positions, however, in my view, without succeeding. In this paper I try to show why. I also propose an alternative approach which can be called "pragmatic constructivist"

Wittgenstein on understanding: language, calculus and practice

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Wittgenstein to Sraffa: Two Newly-discovered Letters from February and March 1934

This paper introduces and publishes two letters from 1934 written by Wittgenstein to Sraffa. The first of these confirms that on the one hand Wittgenstein and Sraffa had communicative difficulties. On the other hand Wittgenstein acknowledged the strength of Sraffa's thinking and he was aware of being positively influenced by it. The second longer letter is part of a debate between Wittgenstein and Sraffa that had been ongoing in the few weeks preceding the letter. In the letter, Wittgenstein tried to clarify and review in part his thinking on the points he discussed during the debate