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Due to the transition towards climate neutrality, energy markets are rapidly evolving. New technologies are developed that allow electricity from renewable energy sources to be stored or to be converted into other energy commodities. As a consequence, new players enter the markets and existing players gain more importance. Market equilibrium problems are capable of capturing these changes and therefore enable us to answer contemporary research questions with regard to energy market design and climate policy.
This cumulative dissertation is devoted to the study of different market equilibrium problems that address such emerging aspects in liberalized energy markets. In the first part, we review a well-studied competitive equilibrium model for energy commodity markets and extend this model by sector coupling, by temporal coupling, and by a more detailed representation of physical laws and technical requirements. Moreover, we summarize our main contributions of the last years with respect to analyzing the market equilibria of the resulting equilibrium problems.
For the extension regarding sector coupling, we derive sufficient conditions for ensuring uniqueness of the short-run equilibrium a priori and for verifying uniqueness of the long-run equilibrium a posteriori. Furthermore, we present illustrative examples that each of the derived conditions is indeed necessary to guarantee uniqueness in general.
For the extension regarding temporal coupling, we provide sufficient conditions for ensuring uniqueness of demand and production a priori. These conditions also imply uniqueness of the short-run equilibrium in case of a single storage operator. However, in case of multiple storage operators, examples illustrate that charging and discharging decisions are not unique in general. We conclude the equilibrium analysis with an a posteriori criterion for verifying uniqueness of a given short-run equilibrium. Since the computation of equilibria is much more challenging due to the temporal coupling, we shortly review why a tailored parallel and distributed alternating direction method of multipliers enables to efficiently compute market equilibria.
For the extension regarding physical laws and technical requirements, we show that, in nonconvex settings, existence of an equilibrium is not guaranteed and that the fundamental welfare theorems therefore fail to hold. In addition, we argue that the welfare theorems can be re-established in a market design in which the system operator is committed to a welfare objective. For the case of a profit-maximizing system operator, we propose an algorithm that indicates existence of an equilibrium and that computes an equilibrium in the case of existence. Based on well-known instances from the literature on the gas and electricity sector, we demonstrate the broad applicability of our algorithm. Our computational results suggest that an equilibrium often exists for an application involving nonconvex but continuous stationary gas physics. In turn, integralities introduced due to the switchability of DC lines in DC electricity networks lead to many instances without an equilibrium. Finally, we state sufficient conditions under which the gas application has a unique equilibrium and the line switching application has finitely many.
In the second part, all preprints belonging to this cumulative dissertation are provided. These preprints, as well as two journal articles to which the author of this thesis contributed, are referenced within the extended summary in the first part and contain more details.
Algorithmen als Richter
(2022)
Die menschliche Entscheidungsgewalt wird durch algorithmische
Entscheidungssysteme herausgefordert. Verfassungsrechtlich besonders
problematisch ist dies in Bereichen, die das staatliche Handeln betreffen.
Eine herausgehobene Stellung nimmt durch den besonderen Schutz der
Art. 92 ff. GG die rechtsprechende Gewalt ein. Lydia Wolff fragt daher danach, welche Antworten das Grundgesetz auf digitale Veränderungen in diesem Bereich bereithält und wie sich ein Eigenwert menschlicher Entscheidungen in der Rechtsprechung angesichts technischen Wandels darstellen lässt.
Das Werk erörtert hierzu einen Beitrag zum verfassungsrechtlichen
Richterbegriff und stellt diesen etablierten Begriff in einen Kontext neuer digitaler Herausforderungen durch algorithmische Konkurrenz.
This socio-pragmatic study investigates organisational conflict talk between superiors and subordinates in three medical dramas from China, Germany and the United States. It explores what types of sociolinguistic realities the medical dramas construct by ascribing linguistic behaviour to different status groups. The study adopts an enhanced analytical framework based on John Gumperz’ discourse strategies and Spencer-Oatey’s rapport management theory. This framework detaches directness from politeness, defines directness based on preference and polarity and explains the use of direct and indirect opposition strategies in context.
The findings reveal that the three hospital series draw on 21 opposition strategies which can be categorised into mitigating, intermediate and intensifying strategies. While the status identity of superiors is commonly characterised by a higher frequency of direct strategies than that of subordinates, both status groups manage conflict in a primarily direct manner across all three hospital shows. The high percentage of direct conflict management is related to the medical context, which is characterised by a focus on transactional goals, complex role obligations and potentially severe consequences of medical mistakes and delays. While the results reveal unexpected similarities between the three series with regard to the linguistic directness level, cross-cultural differences between the Chinese and the two Western series are obvious from particular sociopragmatic conventions. These conventions particularly include the use of humour, imperatives, vulgar language and incorporated verbal and para-verbal/multimodal opposition. Noteworthy differences also appear in the underlying patterns of strategy use. They show that the Chinese series promotes a greater tolerance of hierarchical structures and a partially closer social distance in asymmetrical professional relationships. These disparities are related to different perceptions of power distance, role relationships, face and harmony.
The findings challenge existing stereotypes of Chinese, US American and German conflict management styles and emphasise the context-specific nature of verbal conflict management in every culture. Although cinematic aspects affect the conflict management in the fictional data, the results largely comply with recent research on conflict talk in real-life workplaces. As such, the study contributes to intercultural trainings in medical contexts and provides an enhanced analytical framework for further cross-cultural studies on linguistic strategies.
Der vorliegende Text ist als Mantelpapier im Rahmen einer kumulativen Dissertation an der Universität Trier angenommen worden. Er dient der Zusammenfassung, Reflexion und erweiterten theoretischen Betrachtung der empirischen Einzelbeiträge, die alle einen Einzelaspekt des Gesamtgeschehens „Innovationslabor zur Unterstützung unternehmerischen Lernens und der Entwicklung sozialer Dienstleistungsinnovationen“ behandeln. Dabei wird das Innovationslabor grundsätzlich als Personalentwicklungsmaßnahme aufgefasst. In einem gedanklichen Experiment werden die Ergebnisse auf Organisationen der Erwachsenen- und Weiterbildung übertragen.
Das Besondere dieses Rahmenpapiers ist die Verbindung eines relationalen Raumverständnisses mit der lerntheoretischen Untermauerung des Gegenstandes „Innovationslabor“ aus der Perspektive der Organisationspädagogik und Erwachsenenbildung. Die Ergebnisse zeigen den Lernraum Labor als abseits des Arbeitslebens, als semi-autonom angebundenen Raum, wo Lernprozesse auf unterschiedlichen Ebenen stattfinden und angestoßen werden. Das Labor wird als heterotoper (Lern-)Raum diskutiert. Neu ist auch der Einbezug einer kritischen Perspektive, die bislang im Diskurs um Innovationslabore fehlte: Das Labor wird als prekärer Lernraum charakterisiert. Somit liegt mit dieser Arbeit nun eine grundlegende Ausarbeitung des Labors als Lernraum vor, die zahlreiche weitere Anschlussmöglichkeiten für Forschung ermöglicht.
The main focus of this work is to study the computational complexity of generalizations of the synchronization problem for deterministic finite automata (DFA). This problem asks for a given DFA, whether there exists a word w that maps each state of the automaton to one state. We call such a word w a synchronizing word. A synchronizing word brings a system from an unknown configuration into a well defined configuration and thereby resets the system.
We generalize this problem in four different ways.
First, we restrict the set of potential synchronizing words to a fixed regular language associated with the synchronization under regular constraint problem.
The motivation here is to control the structure of a synchronizing word so that, for instance, it first brings the system from an operate mode to a reset mode and then finally again into the operate mode.
The next generalization concerns the order of states in which a synchronizing word transitions the automaton. Here, a DFA A and a partial order R is given as input and the question is whether there exists a word that synchronizes A and for which the induced state order is consistent with R. Thereby, we study different ways for a word to induce an order on the state set.
Then, we change our focus from DFAs to push-down automata and generalize the synchronization problem to push-down automata and in the following work, to visibly push-down automata. Here, a synchronizing word still needs to map each state of the automaton to one state but it further needs to fulfill some constraints on the stack. We study three different types of stack constraints where after reading the synchronizing word, the stacks associated to each run in the automaton must be (1) empty, (2) identical, or (3) can be arbitrary.
We observe that the synchronization problem for general push-down automata is undecidable and study restricted sub-classes of push-down automata where the problem becomes decidable. For visibly push-down automata we even obtain efficient algorithms for some settings.
The second part of this work studies the intersection non-emptiness problem for DFAs. This problem is related to the problem of whether a given DFA A can be synchronized into a state q as we can see the set of words synchronizing A into q as the intersection of languages accepted by automata obtained by copying A with different initial states and q as their final state.
For the intersection non-emptiness problem, we first study the complexity of the, in general PSPACE-complete, problem restricted to subclasses of DFAs associated with the two well known Straubing-Thérien and Cohen-Brzozowski dot-depth hierarchies.
Finally, we study the problem whether a given minimal DFA A can be represented as the intersection of a finite set of smaller DFAs such that the language L(A) accepted by A is equal to the intersection of the languages accepted by the smaller DFAs. There, we focus on the subclass of permutation and commutative permutation DFAs and improve known complexity bounds.
Surveys play a major role in studying social and behavioral phenomena that are difficult to
observe. Survey data provide insights into the determinants and consequences of human
behavior and social interactions. Many domains rely on high quality survey data for decision
making and policy implementation including politics, health, business, and the social
sciences. Given a certain research question in a specific context, finding the most appropriate
survey design to ensure data quality and keep fieldwork costs low at the same time is a
difficult task. The aim of examining survey research methodology is to provide the best
evidence to estimate the costs and errors of different survey design options. The goal of this
thesis is to support and optimize the accumulation and sustainable use of evidence in survey
methodology in four steps:
(1) Identifying the gaps in meta-analytic evidence in survey methodology by a systematic
review of the existing evidence along the dimensions of a central framework in the
field
(2) Filling in these gaps with two meta-analyses in the field of survey methodology, one
on response rates in psychological online surveys, the other on panel conditioning
effects for sensitive items
(3) Assessing the robustness and sufficiency of the results of the two meta-analyses
(4) Proposing a publication format for the accumulation and dissemination of metaanalytic
evidence
The ability to acquire knowledge helps humans to cope with the demands of the environment. Supporting knowledge acquisition processes is among the main goals of education. Empirical research in educational psychology has identified several processes mediated through that prior knowledge affects learning. However, the majority of studies investigated cognitive mechanisms mediating between prior knowledge and learning and neglected that motivational processes might also mediate the influence. In addition, the impact of successful knowledge acquisition on patients’ health has not been comprehensively studied. This dissertation aims at closing knowledge gaps on these topics with the use of three studies. The first study is a meta-analysis that examined motivation as a mediator of individual differences in knowledge before and after learning. The second study investigated in greater detail the extent to which motivation mediated the influence of prior knowledge on knowledge gains in a sample of university students. The third study is a second-order meta-analysis synthesizing the results of previous meta-analyses on the effects of patient education on several health outcomes. The findings of this dissertation show that (a) motivation mediates individual differences in knowledge before and after learning; (b) interest and academic self-concept stabilize individual differences in knowledge more than academic self-efficacy, intrinsic motivation, and extrinsic motivation; (c) test-oriented instruction closes knowledge gaps between students; (d) students’ motivation can be independent of prior knowledge in high aptitude students; (e) knowledge acquisition affects motivational and health-related outcomes; and (f) evidence on prior knowledge and motivation can help develop effective interventions in patient education. The results of the dissertation provide insights into prerequisites, processes, and outcomes of knowledge acquisition. Future research should address covariates of learning and environmental impacts for a better understanding of knowledge acquisition processes.