Let (G,K) be a Hermitian symmetric pair and let g and k denote the corresponding complexified Lie algebras. Let g = k⊕p+⊕p− be the usual decomposition of g as a k-module. K acts on the symmetric algebra S(p−). We determine the K-structure of all K-stable ideals of the algebra. Our results resemble the Pieri rule for Young diagrams. The result implies a branching rule for a class of finite dimen...

We propose a new technique for normalizing likelihood of multiple classifiers prior to their combination. During a combination process we utilize the information about their efficiency correctly recognize a character with a given stroke number. In the beginning, we show that this recognizer’s efficiency based on a stroke number is different for a common on-line and off-line recognizer. Later, w...

Backward induction is a widely accepted principle for predicting behavior in sequential games. In the classic example of the so-called “centipede game”, however, players frequently violate this principle. An alternative is a “dynamic level-k” model, where players choose a rule from a rule hierarchy. The rule hierarchy is iteratively defined such that the level-k rule is a best-response to the l...

An experiment was conducted in order to evaluate what normative framework is pertinent for dealing with confidence judgements in human experts. 24 films were shown to 4 experimented radiologists. A specific apparatus was designed in order to obtain diagnoses and the associated confidence judgements. With regard to methodology, results showed that confidence judgements under the form of a subjec...

The purpose of this paper is to provide a binary comparison of two distance−based preference aggregation rules, Slater’s rule and Kemeny’s rule. It will be shown that for certain lists of individual preferences the outcomes will be antagonistic in the sense that what is considered best according to one rule is considered worst according to the other rule. I am grateful to Daniel Eckert, Nick Ba...

We consider the discretization in time of a parabolic equation, using a representation of the solution as an integral along a smooth curve in the complex left half plane. The integral is then evaluated to high accuracy by a quadrature rule. This reduces the problem to a finite set of elliptic equations, which may be solved in parallel. The procedure is combined with finite element discretizatio...