In this article we analyze the admissibility and the exact observability of a body-beam system when the output is taken in a point of attachment from the beam to the body. The single output case chosen here is the practical measurement of the strength, its velocity or its moment. We prove the exact observability for the moment and the admissibility for the other cases. These results are obtaine...

Various ways for decision making with imprecise probabilities—admissibility, maximal expected utility, maximality, E-admissibility, Γ-maximax, Γ-maximin, all of which are well-known from the literature—are discussed and compared. We generalize a well-known sufficient condition for existence of optimal decisions. A simple numerical example shows how these criteria can work in practice, and demon...

We introduce three different approaches for decision making under uncertainty, if (I) there is only partial (both cardinal and ordinal) information on an agent’s preferences and (II) the uncertainty about the states of nature is described by a credal set. Particularly, (I) is modeled by a pair of relations, one specifying the partial rank order of the alternatives and the other modeling partial...

This work studies how goal-directed agents can form profitable coalitions. A coalition is formed when some agents agree to cooperate for the achievement of a shared goal or to exchange with each other the achievement of their own goals. We define two criteria of admissibility that establish which coalitions can be formed under the assumption that agents are self-interested. The first admissibil...

Given a representation of a unimodular locally compact group, we discuss criteria for associated coherent state expansions in terms of the commuting algebra. It turns out that for those representations that admit such expansions there exists a unique finite trace on the commuting algebra such that the admissible vectors are precisely the tracial vectors for that trace. This observation is immed...

Abstract: We give a sufficient condition for admissibility of generalized Bayes estimators of the location vector of spherically symmetric distribution under squared error loss. Compared to the known results for the multivariate normal case, our sufficient condition is very tight and is close to being a necessary condition. In particular we establish the admissibility of generalized Bayes estim...

The "procedures" discussed in this paper are of the following type: The statistician makes a conventional decision (in a multiple decision problem). He also provides a statement of the guaranteed conditional probability that his decision will be correct, given the observed value of some conditioning random variable. Various admissibility criteria to relate such procedures are proposed. For exam...

The current document contains the proofs of the COMMA 2014 submission “Strong Admissibility Revisited” and should be read in conjunction with it.

A new hierarchy of “exact” unification types is introduced, motivated by the study of admissible rules for equational classes and non-classical logics. In this setting, unifiers of identities in an equational class are preordered, not by instantiation, but rather by inclusion over the corresponding sets of unified identities. Minimal complete sets of unifiers under this new preordering always h...

This paper shows how to apply a particular chance-credence principle, called the General Principle, to the case of two divergent level-relative chances of a given proposition in order to single out level-relative chance that should underpin one’s credence in that proposition. It is shown that the key move hinges on the use of admissibility clause in the GP. This principle is, then, tested again...