28 documents found

Wir registrieren die Tatsache, dass es wenig bekannter einfuhrender Literatur zur Tensorrechnung fur Mathematiker gibt. Der vorliegende Beitrag richtet sich in erster Linie an Studierende mit Kenntnissen der Linearen Algebra. Die behandelten Themen lieen sich im Rahmen von Abschlussarbeiten vertiefen.

Dynamic Games offer a suitable test bed to analyze strategic behavior of intelligent agents. Experimental Mathematics provides the methods to explore a model of perception and reaction. We study the effect of Artificial Intelligence on decision making of agents, who observe the relative frequencies of…

As far as we know, the identiifcation of all Nash paths for dynamic games has not been treated intensively. The reason seems to be that subgame perfect equilibrium is broadly accepted as an expedient solution concept, which is on top of that easy to handle. Any other equilibrium concept is sometimes…

Der vorliegende Beitrag ist thematisch an der Schnittstelle zwischen Maßtheorie und Topologie angesiedelt. Zentral ist der Begriff des Tragers eines Maßes, der sich in naheliegender Weise für Maße auf topologischen Räumen einführen lässt. Das Thema ist geeignet, im Rahmen einer Abschlussarbeit vertieft…

We introduce a concept of equilibrium for dynamic games, which reflects risk-aversion for the agents playing the game. We assume given preferences for the agents rather than utility functions and allow the formation of coalitions. It turns out that risk-averse behavior is generally not covered by subgame…

The broadly accepted equilibrium concept for non-cooperative games in extensive form draws on subgame perfectness. Existence of such an equilibrium is assured under weak assumptions. But in most situations many other Nash Equilibria may exist. Hence, there must be some tacit agreement of groups of players,…

Vaccination of a population of persons under limited resources is always a matter of controversial discussions. The common proceeding to overcome these medical and ethical problems as agreed in Germany in 2021 is a ranking of risk groups according to their lethal rates during the spread of the pandemics.…