A large literature on non-expected utility models has developed preference functionals which are non-linear in probabilities to explain attitudes toward risk. In this paper, we introduce a frame-dependent utility model which resolves many of the paradoxes that motivated non-expected utility models while retaining expected utility analysis for any given decision. In particular, we embed the von ...

essence of the frame theory: When one encounters a new situation (or makes a substantial change tn one's view of a problem), one selects from memory a structure called a frame. This is a remembered framework to be adapted to fit reality by changing details as necessary. A frame is a data-structure for representing a stereotyped situation like being in a certain kind of living room or going to a...

In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ wi...

In my contribution I will provide an outline of how two major strands in Löbner’s work can be combined in a dynamic game theoretical semantics: phase quantification (PQ) and frame theory (FT). In a first step a formal analysis of PQ in (dynamic) arrow logic is presented. Based on this analysis it is shown in the second step that frame theory must not be understood as being an alternative to sta...

Frame theory is closely intertwined with signal processing by providing a canon of methodologies for the analysis of signals using (redundant) linear measurements. The dual frame associated with a frame then provides a means for reconstruction by a least squares approach. The novel paradigm of sparsity entered this area lately in various ways. Of those, in this survey paper, we will focus on th...