We contrast three decision rules that extend Expected Utility to contexts where a convex set of probabilities is used to depict uncertainty: Γ-Maximin, Maximality, and E-admissibility. The rules extend Expected Utility theory as they require that an option is inadmissible if there is another that carries greater expected utility for each probability in a (closed) convex set. If the convex set i...

The Pitman closeness ordering of statistical decision rules is considered in the general framework of comparative risk functions. The notions of admis-sibility and of the Bayes rule in this setting (C{admissibility and C{Bayes rule) are introduced. C{admissibility of C{Bayes procedures is demonstrated along with the geometric interpretation of these properties. It is shown that for general comp...

In this paper we extend Dung’s formal approach from admissibility to less demanding extension semantics allowing arguments in cycles of attacks. We present an acceptance criterion leading to the characterization of three semantics called pairwise cogency, weak cogency and cyclic cogency. Particular gametheoretic protocols allow us to identify winning strategies with extensions in different sema...

Neuroimaging evidence should be restricted in terms of admissibility in the courts, and should only be considered reliable under scientifically valid clinical methods. This topic will be approached in four stages: (1) a brief introduction to neuroscience and law, (2) a discussion of evidentiary laws in the American legal system, (3) a review of modern neuroimaging and the admissibility and appl...

We present a general method for providing Kripke semantics for the family of fully-structural multiple-conclusion propositional sequent systems. In particular, many well-known Kripke semantics for a variety of logics are easily obtained as special cases. This semantics is then used to obtain semantic characterizations of analytic sequent systems of this type, as well as of those admitting cut-a...

We give necessary and sufficient conditions for uniform exponential dichotomy of evolution families in terms of the admissibility of the pair (Lp(R,X),Lq(R,X)). We show that the admissibility of the pair (Lp(R,X),Lq(R,X)) is equivalent to the uniform exponential dichotomy of an evolution family if and only if p ≥ q. As applications we obtain characterizations for uniform exponential dichotomy o...

We consider an extension of Hayman’s notion of admissibility to bivariate generating functions f(z, u) that have the property that the coefficients ank satisfy a central limit theorem. It is shown that these admissible functions have certain closure properties. Thus, there is a large class of functions for which it is possible to check this kind of admissibility automatically. This is realized ...

In This paper, we give a necessary condition for function in $L^2$ with its dual to generate a dual shearlet tight frame with respect to admissibility.

In this paper, we study the notion of admissibility for randomised strategies in concurrent games. Intuitively, an admissible strategy is one where the player plays ‘as well as possible’, because there is no other strategy that dominates it, i.e., that wins (almost surely) against a superset of adversarial strategies. We prove that admissible strategies always exist in concurrent games, and we ...