We classify the global dynamics of the five-parameter family of planarKolmogorov systems \begin{equation*} \begin{split} \dot{y}&=y \left( b_0+ b_1 y z + b_2 y + b_3 z\right), \dot{z}&=z\left( c_0 + b_1 y z + b_2 y + b_3 z\right), \end{split} \end{equation*} which is obtained from the Lotka-Volterra systemsof dimension three. These systems have infinitely many singular points atinifnity. We give the topological classification of their phase portraits inthe Poincar\'e disc, so we can describe the dynamics of these systems nearinfinity. We prove that these systems have 13 topologically distinct globalphase portraits.
In subjective decision-making, where decisions are based on contextualinterpretation, Large Language Models (LLMs) can be integrated to present userswith additional rationales to consider. The diversity of these rationales ismediated by the ability to consider the perspectives of different socialactors. However, it remains unclear whether and how models differ in thedistribution of perspectives they provide. We compare the perspectives taken byhumans and different LLMs when assessing subtle sexism scenarios. We show thatthese perspectives can be classified within a finite set (perpetrator, victim,decision-maker), consistently present in argumentations produced by humans andLLMs, but in different distributions and combinations, demonstratingdifferences and similarities with human responses, and between models. We arguefor the need to systematically evaluate LLMs' perspective-taking to identifythe most suitable models for a given decision-making task. We discuss theimplications for model evaluation.