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Performance of hedging strategies in interval models

Berend Roorda, Jacob Engwerda, Johannes M. Schumacher (2005)

Kybernetika

For a proper assessment of risks associated with the trading of derivatives, the performance of hedging strategies should be evaluated not only in the context of the idealized model that has served as the basis of strategy development, but also in the context of other models. In this paper we consider the class of so-called interval models as a possible testing ground. In the context of such models the fair price of a derivative contract is not uniquely determined and we characterize the interval...

Permissive strategies : from parity games to safety games

Julien Bernet, David Janin, Igor Walukiewicz (2002)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

It is proposed to compare strategies in a parity game by comparing the sets of behaviours they allow. For such a game, there may be no winning strategy that encompasses all the behaviours of all winning strategies. It is shown, however, that there always exists a permissive strategy that encompasses all the behaviours of all memoryless strategies. An algorithm for finding such a permissive strategy is presented. Its complexity matches currently known upper bounds for the simpler problem of finding...

Permissive strategies: from parity games to safety games

Julien Bernet, David Janin, Igor Walukiewicz (2010)

RAIRO - Theoretical Informatics and Applications

It is proposed to compare strategies in a parity game by comparing the sets of behaviours they allow. For such a game, there may be no winning strategy that encompasses all the behaviours of all winning strategies. It is shown, however, that there always exists a permissive strategy that encompasses all the behaviours of all memoryless strategies. An algorithm for finding such a permissive strategy is presented. Its complexity matches currently known upper bounds for the simpler problem...

Plug-in estimation of level sets in a non-compact setting with applications in multivariate risk theory

Elena Di Bernardino, Thomas Laloë, Véronique Maume-Deschamps, Clémentine Prieur (2013)

ESAIM: Probability and Statistics

This paper deals with the problem of estimating the level sets L(c) =  {F(x) ≥ c}, with c ∈ (0,1), of an unknown distribution function F on ℝ+2. A plug-in approach is followed. That is, given a consistent estimator Fn of F, we estimate L(c) by Ln(c) =  {Fn(x) ≥ c}. In our setting, non-compactness property is a priori required for the level sets to estimate. We state consistency results with respect to the Hausdorff distance and the volume of the symmetric difference. Our results are motivated by...

Pôles, intermédiaires et centres dans un groupe d'opinions

J. Feldman (1973)

Mathématiques et Sciences Humaines

Les opinions dont il s'agit sont des ordres totaux sur un ensemble d'objets. Par rapport à un groupe d'opinions exprimées, on définit les notions d'opinions «pôles», «intermédiaires» et «centres» : ces derniers peuvent servir de choix collectifs et on examine quelques-unes de leurs propriétés ; en particulier, ils appartiennent à l'intervalle convexe engendré par les opinions exprimées, autrement dit, ils conservent les avis unanimes.

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