with y−s, y−s+1, . . . , y−1 ∈ (0,∞) and k, m ∈ {1, 2, 3, 4, . . .}, where s = k+m. We prove that if gcd(2k,m) = 1, then solutions to this equation are asymptotically 2k-periodic. This generalizes the corresponding result for m = 3 and k = 1, proved in K. S. Berenhaut et al., Periodic Solutions of the Rational Difference Equation yn = yn−3+yn−4 yn−1 ,Journal of Difference Equations and Applicat...

Surveys are frequently used by businesses and governments to elicit information about the public’s preferences. They have become the most common way to gather preference information regarding goods, that are not (or are not yet) bought or sold in markets. In this paper we apply the standard neoclassical economic framework to generate predictions about how rational agents would answer such surve...

We give in this paper an example of infinitary rational relation, accepted by a 2-tape Büchi automaton, which is Π 3 -complete in the Borel hierarchy. Moreover the example of infinitary rational relation given in this paper has a very simple structure and can be easily described by its sections.

This document describes the surface realization solution submitted by UCM to the Surface Realization Challenge. The UCM submission operates over the shallow representation of the challenge input. This submission to the surface realization challenge relies on an old-fashioned surface realizer based on unification with a grammar. Because this surface realizer requires fully specified inputs, a co...

1 On the so–called Pell–Fermat equation 2 1.1 Examples of simple continued fractions . . . . . . . . . . . . . 2 1.2 Existence of integer solutions . . . . . . . . . . . . . . . . . . 5 1.3 All integer solutions . . . . . . . . . . . . . . . . . . . . . . . 6 1.4 On the group of units of Z[ √ D] . . . . . . . . . . . . . . . . . 8 1.5 Connection with rational approximation . . . . . . . . . . ....

We consider a resource allocation problem, where a rational agent has to decide how to share a limited amount of resources among different companies that might be facing financial difficulties. The objective is to minimize the total long term cost incurred by the economy due to default events. Using the framework of multiarmed restless bandits and, assuming a two-state evolution of the default ...

A memory-based collaborative system for recommending Master programs has been recently developed for University College Maastricht (UCM). Given the academic profile of a Bachelor student, the system recommends Master programs for that student based on the similarity of her profile to the profiles of the alumni students. The system is operational since September 2011 and is already popular among...

In contrast to verfication methods, such as the use of BDI (belief, desire, intention) logics, e.g., (Rao Georgetf 1993), which can be used to verify for instance commitment properties of rational agents, our agent algebra is intended to be used for more concrete properties such as safety or progress properties (deadlock freedom, fairness, ...) of more action-oriented agents. In MASs there can ...