13 documents found

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…

At the first glance the question sounds funny. Some economists might perhaps say "All You need is Cash". But from the mathematical point of view there is indeed a serious reason to reflect on the internal structure of games. Apart from the Nash solution for non-cooperative games, the concept of Correlated…

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.…

The central objects of investigation of this paper are games with comparative utility functions. This concept can be considered as a relativistic approach to expected utility theory. The approach covers also the classical idea of utility functions. In some recent research papers the philosophic justification…

We consider totally connected networks of nodes forming a cluster within a broader community of agents exchanging messages. These networks are also addressed by mesh networks. We examine a scenario where the community is partitioned into multiple clusters, in each cluster one node acting as cluster head.…