12 documents found

Research Results
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2024

A Testbed for Solution Concepts of Dynamic Games with Incomplete Preferences

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…
Research Results
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2023

Risk-Averse Agents in Dynamic Games

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…
Research Results
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2023

All You need is Nash

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…
Research Results
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2022

Über eine Verallgemeinerung des empirischen Medians für multivariate Stichproben

Bei der statistischen Datenauswertung ist der empirische Median manchmal dem arithmetischen Mittel als Lokalisation-Merkmal vorzuziehen. Wir schlagen ein Pendant des empirischen Medians fur multivariate Stichproben vor, welches weniger bekannt ist.
Research Results
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2022

Arrangement of Nash Equilibria in Dynamic Games by Coalition Formation

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,…
Research Results
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2021

Gleichgewichtskonzepte für Abstimmungsprozesse

Im Mittelpunkt der folgenden Ausführungen stehen Spiele, die in politischen Entscheidungsprozessen eine Rolle spielen. Hierbei geht es darum, aus einer Reihe von Alternativen eine Entscheidung durch eine Folge von Abstimmungen über jeweils zwei Alternativen herbeizuführen. In jedem Entscheidungsschritt…
Article / Chapter
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2021

Fair Distribution of Vaccines Among Population Groups

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.…
Research Results
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2020

Games with Comparative Utility Functions

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…
Research Results
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2019

On a Useful Characterization of Nash Equilibria in Decision Trees

The concept of subgame perfect equilibrium is broadly accepted in the theory of non-cooperative games in extensive form and offers a method of equilibrium calculation called backward induction. Nevertheless, there often exist many other equilibria, which might also be interesting, because they require…
Research Results
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2019

Selection of Cluster Heads within Communication Networks by Voting Schemes

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.…
Research Results
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2018

On a Bypass Centrality Concept for Networks drawing on the Shapley Value

First, we analyse game-theoretic solution concepts for the assessment of members of a network drawing on the Shapley Value. Our approach starts with the concept of Betweenness Centrality as known from Social Network Analysis. We will also be interested in Centrality Concepts, which satisfy the conditions…