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In this paper, we analyze stochastic dynamic pricing and advertising differential games in special oligopoly markets with constant price and advertising elasticity. We consider the sale of perishable as well as durable goods and include adoption effects in the demand. Based on a unique stochastic feedback Nash equilibrium, we derive closed-form solution formulas of the value functions and the optimal feedback policies of all competing firms. Efficient simulation techniques are used to evaluate optimally controlled sales processes over time. This way, the evolution of optimal controls as well as the firms’ profit distributions are analyzed. Moreover, we are able to compare feedback solutions of the stochastic model with its deterministic counterpart. We show that the market power of the competing firms is exactly the same as in the deterministic version of the model. Further, we discover two fundamental effects that determine the relation between both models. First, the volatility in demand results in a decline of expected profits compared to the deterministic model. Second, we find that saturation effects in demand have an opposite character. We show that the second effect can be strong enough to either exactly balance or even overcompensate the first one. As a result we are able to identify cases in which feedback solutions of the deterministic model provide useful approximations of solutions of the stochastic model.
Engineered nanogels are of high value for a targeted and controlled transport of compounds due to the ability to change their chemical properties by external stimuli. As it has been indicated that nanogels possess a high ability to penetrate the stratum corneum, it cannot be excluded that nanogels interact with dermal dendritic cells, especially in diseased skin. In this study the potential crosstalk of the thermore-sponsive nanogels (tNGs) with the dendritic cells of the skin was investigated with the aim to determine the immunotoxicological properties of the nanogels. The investigated tNGs were made of dendritic polyglycerol (dPG) and poly(glycidyl methyl ether-co-ethyl glycidyl ether) (p(GME-co-EGE)), as polymer conferring thermoresponsive properties. Although the tNGs were taken up, they displayed neither cytotoxic and genotoxic effects nor any induction of reactive oxygen species in the tested cells. Interestingly, specific uptake mechanisms of the tNGs by the dendritic cells were depending on the nanogels cloud point temperature (Tcp), which determines the phase transition of the nanoparticle. The study points to caveolae-mediated endocytosis as being the major tNGs uptake mechanism at 37 degrees C, which is above the Tcp of the tNGs. Remarkably, an additional uptake mechanism, beside caveolae-mediated endocytosis, was observed at 29 degrees C, which is the Tcp of the tNGs. At this temperature, which is characterized by two different states of the tNGs, macropinocytosis was involved as well. In summary, our study highlights the impact of thermoresponsivity on the cellular uptake mechanisms which has to be taken into account if the tNGs are used as a drug delivery system.
Several recent northern hemisphere summer extremes have been linked to persistent high-amplitude wave patterns (e.g. heat waves in Europe 2003, Russia 2010 and in the US 2011, Floods in Pakistan 2010 and Europe 2013). Recently quasi-resonant amplification (QRA) was proposed as a mechanism that, when certain dynamical conditions are fulfilled, can lead to such high-amplitude wave events. Based on these resonance conditions a detection scheme to scan reanalysis data for QRA events in boreal summer months was implemented. With this objective detection scheme we analyzed the occurrence and duration of QRA events and the associated atmospheric flow patterns in 1979-2015 reanalysis data. We detect a total number of 178 events for wave 6, 7 and 8 and find that during roughly one-third of all high amplitude events QRA conditions were met for respective waves. Our analysis reveals a significant shift for quasi-stationary waves 6 and 7 towards high amplitudes during QRA events, lagging first QRA-detection by typically one week. The results provide further evidence for the validity of the QRA hypothesis and its important role in generating high amplitude waves in boreal summer.
Being surrounded by peers who are accepting of aggression is a significant predictor of the development and persistence of aggression in childhood and adolescence. Whereas past research has focused on social reinforcement mechanisms as the underlying processes, the present longitudinal study analysed the role of external control beliefs as an additional mediator explaining the link between peers’ acceptance of aggression and the development of aggressive behaviour. Drawing on a large community sample of N = 1,466 male and female children and adolescents from Germany aged between 10 and 18 years, results of latent structural equation modeling were consistent with the hypotheses that peer acceptance of aggression would predict external control beliefs in the social domain, which in turn, should predict aggressive behaviour over time. Additional multigroup analyses showed that the predicted pathways were consistent across gender and age groups.
This longitudinal study from Germany examined the dynamic progression of antisocial behavior in childhood and adolescence based on the social interactional model by Patterson, DeBaryshe, and Ramsey. It examined the link between antisocial behavior, social rejection, academic failure, and affiliation with deviant peers in a sample of 1,657 children and youths aged between 6 and 15 years who were studied at three measurement waves (T1 to T3) over a time period of about 5 years. Teachers rated the children on all variables, parents additionally provided ratings of antisocial behavior and social rejection. Latent structural equation modeling yielded the predicted positive paths from antisocial behavior at T1 to social rejection and academic failure at T2. As predicted, affiliation with deviant peers at T2 was positively associated with social rejection and academic failure at the same measurement point. Finally, affiliation with deviant peers at T2 significantly predicted antisocial behavior at T3.
Aphasia, the language disorder following brain damage, is frequently accompanied by deficits of working memory (WM) and executive functions (EFs). Recent studies suggest that WM, together with certain EFs, can play a role in sentence comprehension in individuals with aphasia (IWA), and that WM can be enhanced with intensive practice. Our aim was to investigate whether a combined WM and EF training improves the understanding of spoken sentences in IWA. We used a pre-post-test case control design. Three individuals with chronic aphasia practised an adaptive training task (a modified n-back task) three to four times a week for a month. Their performance was assessed before and after the training on outcome measures related to WM and spoken sentence comprehension. One participant showed significant improvement on the training task, another showed a tendency for improvement, and both of them improved significantly in spoken sentence comprehension. The third participant did not improve on the training task, however, she showed improvement on one measure of spoken sentence comprehension. Compared to controls, two individuals improved at least in one condition of the WM outcome measures. Thus, our results suggest that a combined WM and EF training can be beneficial for IWA.
Conflict is a ubiquitous feature of interpersonal relationships, yet many of these relationships preserve their value following conflict. Our ability to refrain from punishment despite the occurrence of conflict is a characteristic of human beings. Using a combination of behavioral and neuroimaging techniques, we show that prosocial decision-making is modulated by relationship closeness. In an iterated social exchange, participants were more likely to cooperate with their partner compared to an unknown person by accepting unfair exchanges. Importantly, this effect was not influenced by how resources were actually being shared with one’s partner. The medial prefrontal cortex (MPFC) was activated when the partner, rather than the unknown person, behaved unfairly and, in the same context, the MPFC demonstrated greater functional connectivity with the dorsal anterior cingulate cortex (DACC). MPFC–DACC connectivity was inversely associated with participants’ tendency to “forgive” their partner for unfairness as well as performance outside the scanner on a behavioral measure of forgiveness. We conclude that relationship closeness modulates a neural network comprising the MPFC/DACC during economic exchanges.
Exploring generalisation following treatment of language deficits in aphasia can provide insights into the functional relation of the cognitive processing systems involved. In the present study, we first review treatment outcomes of interventions targeting sentence processing deficits and, second report a treatment study examining the occurrence of practice effects and generalisation in sentence comprehension and production. In order to explore the potential linkage between processing systems involved in comprehending and producing sentences, we investigated whether improvements generalise within (i.e., uni-modal generalisation in comprehension or in production) and/or across modalities (i.e., cross-modal generalisation from comprehension to production or vice versa). Two individuals with aphasia displaying co-occurring deficits in sentence comprehension and production were trained on complex, non-canonical sentences in both modalities. Two evidence-based treatment protocols were applied in a crossover intervention study with sequence of treatment phases being randomly allocated. Both participants benefited significantly from treatment, leading to uni-modal generalisation in both comprehension and production. However, cross-modal generalisation did not occur. The magnitude of uni-modal generalisation in sentence production was related to participants’ sentence comprehension performance prior to treatment. These findings support the assumption of modality-specific sub-systems for sentence comprehension and production, being linked uni-directionally from comprehension to production.
Die Arbeit stellt die Funktionsweise und den Erwerb der deutschen Groß- und Kleinschreibung auf theoretischer und empirischer Grundlage dar. Den Ausgangspunkt bildet eine textpragmatische Verallgemeinerung bisheriger graphematischer Ansätze, die zu einem übergreifenden Modell des Majuskelgebrauchs im Deutschen erweitert werden und dabei auch nicht-orthografische Teilbereiche einschließen (Versalsatz, Kapitälchen, Binnenmajuskel etc.).
Im empirischen Teil der Arbeit werden die orthografischen Leistungsdaten von ca. 5.700 Probanden verschiedener Altersklassen (4. Klasse bis Erwachsenenbildung) untersucht und zu einem allgemeinen Erwerbsmodell der Groß- und Kleinschreibung ausgebaut. Mit Hilfe neuronaler Netzwerksimulationen werden unterschiedliche Lernertypen unterschieden und Diskontinuitäten im Kompetenzerwerb nachgewiesen, die auf qualitative Strategiewechsel in der Ontogenese hindeuten. Den Abschluss bilden orthografiedidaktische und rechtschreibdiagnostische Reflexionen der Daten.
Von der Demütigung zur Demut
(2016)