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Mixed-Integer Optimization Techniques for Robust Bilevel Problems with Here-and-Now Followers
(2025)
In bilevel optimization, some of the variables of an optimization problem have to be an optimal solution to another nested optimization problem. This specific structure renders bilevel optimization a powerful tool for modeling hierarchical decision-making processes, which arise in various real-world applications such as in critical infrastructure defense, transportation, or energy. Due to their nested structure, however, bilevel problems are also inherently hard to solve—both in theory and in practice. Further challenges arise if, e.g., bilevel problems under uncertainty are considered.
In this dissertation, we address different types of uncertainties in bilevel optimization using techniques from robust optimization. We study mixed-integer linear bilevel problems with lower-level objective uncertainty, which we tackle using the notion of Gamma-robustness. We present two exact branch-and-cut approaches to solve these Gamma-robust bilevel problems, along with cuts tailored to the important class of monotone interdiction problems. Given the overall hardness of the considered problems, we additionally propose heuristic approaches for mixed-integer, linear, and Gamma-robust bilevel problems. The latter rely on solving a linear number of deterministic bilevel problems so that no problem-specific tailoring is required. We assess the performance of both the exact and the heuristic approaches through extensive computational studies.
In addition, we study the problem of determining optimal tolls in a traffic network in which the network users hedge against uncertain travel costs in a robust way. The overall toll-setting problem can be seen as a single-leader multi-follower problem with multiple robustified followers. We model this setting as a mathematical problem with equilibrium constraints, for which we present a mixed-integer, nonlinear, and nonconvex reformulation that can be tackled using state-of-the-art general-purpose solvers. We further illustrate the impact of considering robustified followers on the toll-setting policies through a case study.
Finally, we highlight that the sources of uncertainty in bilevel optimization are much richer compared to single-level optimization. To this end, we study two aspects related to so-called decision uncertainty. First, we propose a strictly robust approach in which the follower hedges against erroneous observations of the leader's decision. Second, we consider an exemplary bilevel problem with a continuous but nonconvex lower level in which algorithmic necessities prevent the follower from making a globally optimal decision in an exact sense. The example illustrates that even very small deviations in the follower's decision may lead to arbitrarily large discrepancies between exact and computationally obtained bilevel solutions.
Partial differential equations are not always suited to model all physical phenomena, especially, if long-range interactions are involved or if the actual solution might not satisfy the regularity requirements associated with the partial differential equation. One remedy to this problem are nonlocal operators, which typically consist of integrals that incorporate interactions between two separated points in space and the corresponding solutions to nonlocal equations have to satisfy less regularity conditions.
In PDE-constrained shape optimization the goal is to minimize or maximize an objective functional that is dependent on the shape of a certain domain and on the solution to a partial differential equation, which is usually also influenced by the shape of this domain. Moreover, parameters associated with the nonlocal model are oftentimes domain dependent and thus it is a natural next step to now consider shape optimization problems that are governed by nonlocal equations.
Therefore, an interface identification problem constrained by nonlocal equations is thoroughly investigated in this thesis. Here, we focus on rigorously developing the first and second shape derivative of the associated reduced functional. In addition, we study first- and second-order shape optimization algorithms in multiple numerical experiments.
Moreover, we also propose Schwarz methods for nonlocal Dirichlet problems as well as regularized nonlocal Neumann problems. Particularly, we investigate the convergence of the multiplicative Schwarz approach and we conduct a number of numerical experiments, which illustrate various aspects of the Schwarz method applied to nonlocal equations.
Since applying the finite element method to solve nonlocal problems numerically can be quite costly, Local-to-Nonlocal couplings emerged, which combine the accuracy of nonlocal models on one part of the domain with the fast computation of partial differential equations on the remaining area. Therefore, we also examine the interface identification problem governed by an energy-based Local-to-Nonlocal coupling, which can be numerically computed by making use of the Schwarz method. Here, we again present a formula for the shape derivative of the associated reduced functional and investigate a gradient based shape optimization method.
Based on data collected from two surveys conducted in Germany and Taiwan, my first paper (Chapter 2) examines the impact of culture through language priming (Chinese vs. German or English) on individuals’ price fairness perception and attitudes towards government intervention and economic policy involving inequality. We document large cross-language differences: in both surveys, subjects who were asked and answered in Chinese demonstrated significantly higher perceived price fairness in a free market mechanism than their counterparts who completed the survey in German or English language. They were also more inclined to accept a Pareto improvement policy which increases social and economic inequality. In the second survey, Chinese language induced also a lower readiness to accept government intervention in markets with price limits compared to English language. Since language functions as a cultural mindset prime, our findings imply that culture plays an important role in fairness perception and preferences regarding social and economic inequality.
Chapter 3 of this work deals with patriotism priming. By conducting two online experimental studies conducted in Germany and China, we tested three different kinds of priming methods for constructive and blind patriotism respectively. Subjects were randomly distributed to one of three treatments motivated by previous studies in different countries: a constructive patriotism priming treatment, a blind patriotism priming treatment and a non-priming baseline. While the first experiment had a between-subject design, the second one enabled both a between-subject and within-subject comparison, since the level of patriotism of individuals was measured before and after priming respectively. The design of the second survey also enabled a comparison among the three priming methods for constructive and blind patriotism. The results showed that the tested methods, especially the national achievements as a priming mechanism, functioned well overall for constructive patriotism.
Surprisingly, the priming for blind patriotism did not work in either Germany or China and the opposite results were observed. Discussion and implications for future studies are provided at the end of the chapter.
Using data from the same studies as in Chapter 3, Chapter 4 examines the impact of patriotism on individuals’ fairness perception and preferences regarding inequality and on their attitudes toward economic policy involving inequality. Across surveys and countries, a positive and significant effect of blind patriotism on economic individualism was found. For China, we also found a significant relationship between blind patriotism and the agreement to unequal economic policy. In contrast to blind patriotism, we did not find an association of constructive patriotism to economic individualism and to attitudes toward economic policy involving inequality. Political and economic implications based on the results are discussed.
The last chapter (Chapter 5) studies the self-serving bias (when an individual’s perception about fairness is biased by self-interest) in the context of price setting and profit distribution. By analyzing data from four surveys conducted in six countries, we found that the stated appropriate product price and the fair allocation of profit was significantly higher, when the outcome was favorable to oneself. This self-serving bias in price fairness perception, however, differed across countries significantly and was significantly higher in Germany, Taiwan and China than in Vietnam, Estonia and Japan.
Although economic individualism and masculinity were found to have a significant negative effect on self-interest bias in price fairness judgment, they did not sufficiently explain the differences in self-interest bias between countries. Furthermore, we also observed an increase of self-interest bias in profit allocation over time in time-series data for one country (Germany) with data from 2011 to 2023.
The four papers are all co-authored with Prof. Marc Oliver Rieger, and the first paper has been accepted for publications in Review of Behavioral Economics.
Veterinärantibiotika werden weltweit in großem Umfang zur Behandlung von Tierkrankheiten eingesetzt. Aufgrund der schlechten Resorption der Mittel im Darm der Tiere gelangen sie zum Großteil unverändert über Ausscheidungen auf landwirtschaftliche Nutzflächen. Dort können sie von Nichtzielorganismen, wie Gefäßpflanzen, aufgenommen werden und deren frühe Entwicklung bedrohen. In diesem Kontext wurde bisher vor allem der Einfluss auf Kulturpflanzen untersucht, während Wildpflanzenarten des ökologisch bedeutsamen Kulturgraslandes, die vor allem durch Gülleausbringung in Kontakt mit Antibiotikastoffen kommen, deutlich weniger fokussiert wurden. Deshalb wurde in dieser Arbeit der Einfluss realistischer Konzentrationen (0,1 - 20 mg/L) zweier häufig verwendeter Veterinärantibiotika, Tetracyclin und Sulfamethazin, auf die Keimung und das frühe Wachstum von typischen Arten des temperaten Kulturgraslandes untersucht. Da in der Natur oft mehrere Stressoren gleichzeitig auf einen Organismus einwirken, wurden auch zwei Multistressszenarien, nämlich Pharmazeutikamischungen und das Zusammenspiel von pharmazeutischem Wirkstoff mit abiotischen Bedingungen (Trockenstress) untersucht. In vier Themenblöcken wurden sowohl standardisierte Laborversuche als auch naturnähere Topf- und Feldversuche durchgeführt.
Die Ergebnisse zeigten, dass sowohl die Keimung als auch das frühe Wachstum durch beide Wirkstoffe, jedoch häufiger durch Tetracyclin, beeinträchtigt wurden. Während die Keimung uneinheitlich in Bezug auf die Effektrichtung beeinflusst wurde, zeigte sich eine starke, antibiotika- und konzentrationsabhängige Reduktion der Wurzellänge vor allem durch Tetracyclin, in den Petrischalenversuchen (20 mg/L bis 96 %, bei Dactylis glomerata). Das oberirdische Wachstum (Blattlänge, Wuchshöhe, Biomasse) wurde geringer beinflusst, und dabei oft wachstumsfördernd. In der gesamten Arbeit zeigten sich immer wieder Hormesis- Effekte, d.h. geringe Konzentrationen, die stimulierend wirkten, während höhere Konzentrationen toxisch wirkten. Die betrachteten Kombinationen verschiedener Faktoren führten entgegen der Erwartung nicht eindeutig zu stärkeren oder alleinigen Einflüssen. In einzelnen Fällen zeigten sich solche Muster, jedoch wurden auch Verluste von Einzeleffekten bei den Kombinationen beobachtet oder Einzeleffekte, die sich dort erneut abbildeten.
Es zeigten sich, wenn auch uneinheitlich, signifikante Einflüsse auf die frühen Entwicklungsstadien von typischen Wildpflanzenarten, die bereits durch andere Faktoren einen Rückgang erfahren. Gerade im Hinblick auf die wiederholte Ausbringung von Gülle und die potenzielle Akkumulation dieser hoch persistenten Stoffe stellen Veterinärantibiotika einen weiteren wichtigen Einflussfaktor dar, der die Biodiversität und Artzusammensetzung gefährdet, weshalb zu einem umweltbewussten Umgang mit ihnen geraten wird.
This thesis contains three parts that are all connected by their contribution to research about the effects of trading apps on investment behavior. The primary motivation for this study is to investigate the previously undetermined consequences and effects of trading apps, which are a new phenomenon in the broker market, on the investment and risk behavior of Neobroker users.
Chapter 2 addresses the characteristics of a typical Neobroker user and a former Neobroker user and the impact of trading apps on the investment and risk behavior of their users. The results show that Neobroker users are significantly more risk tolerant than the general German population and are influenced by trading apps regarding their investment and risk behavior. Low trading fees and the low minimum investment amount are the main reasons for the use of trading apps. Investors who stop using trading apps mostly stop investing altogether. Another worrying result is that financial literacy among all groups is low and most Neobroker users have wrong conceptions about how trading apps earn money. In general, the financial literacy of all groups considered in this chapter is surprisingly low.
The third chapter investigates the effects of trading apps on investment behavior over time and compares the investment and risk behavior of Neobroker users and general investors. By using representative data of German Neobroker users, who were surveyed repeatedly over a 8-month time interval, it becomes possible to determine causal effects of the use of trading apps over time. In total, the financial literacy of Neobroker users increases with the longer use of a trading app. A worrying result is that the risk tolerance of Neobroker users rises significantly over time. Male Neobroker users gain a higher annual return (non-risk-adjusted) than female Neobroker users. In comparison to general investors, Neobroker users are significantly younger, more risk tolerant, more likely to buy derivatives and gain a higher annual return (non-risk-adjusted).
The fourth chapter analyses the impact of personality traits on the investment and risk behavior of Neobroker users. The results show that the BIG-5 personality traits have an impact on the investment behavior of Neobroker users. Two personality traits, openness and conscientiousness, stand out the most, as these two have explanatory power over various aspects of the behavior of Neobroker users. In particular, whether they buy different financial products than planned, the time they inform themselves about financial markets, the variety of financial products owned, and the reasons to use a Neobroker. Surprisingly, the risk tolerance of Neobroker users and the reasons to invest are not connected to any personal dimension. Whether a participant uses a trading app or a traditional broker to invest is respectively influenced by different personality traits.
Die Hauptzielsetzung der vorliegenden Arbeit besteht in der Erarbeitung von Möglichkeiten zur Optimierung der Bewirtschaftung der Riveristalsperre. Dazu werden zunächst alle relevanten Einflussgrößen und Gefahrenpotentiale des Systems aus dem Einzugsgebiet und der Talsperre analysiert und bewertet. Letztlich wird die Konzeption eines integrierten Bewirtschaftungsplanes für die Riveristalsperre auf der Basis einer neuen Pilotierungsanlage im SWT-Wasserwerk in Trier-Irsch dargestellt, diskutiert und auf Funktionsfähigkeit geprüft.
Mit einer aus ca. 90% des Einzugsgebiets bestehenden Waldfläche ist die Hauptsperre der Riveristalsperre durchschnittlich als eindeutig oligotroph eingestuft und das Rohwasser der Riveristalsperre von ausgezeichneter Qualität mit nur wenigen und beherrschbaren Gefahrenpotentialen.
Unter Berücksichtigung der Pilotierungsergebnisse war die In/Out, PES, UF- geeigneter als die Out/In, PVDF-Membran. Die Anordnung der UF-Anlage auf der Rohwasserseite nach der Flockung für die Abtrennung der partikulären Wasserinhaltsstoffe mit einer nachgeschalteten Wasseraufhärtung, pH-Wert-Anhebung und Entmanganung in einer CaCO3-Filterstufe und abschließenden Desinfektion durch eine UV-Bestrahlung stellte sich als ideal für die Aufbereitung des Rohwassers der Riveristalsperre heraus.
Die Ergebnisse der Pilotanlage sind in einer großtechnischen Trinkwasseraufbereitung im Wasserwerk in Trier-Irsch umgesetzt und seit 2013 offiziell in Betrieb genommen.
Abschließend werden Maßnahmen gegen eventuelle Minderwassermengen bei z.B. langanhaltenden Trockenwetterperioden (Klimawandel !) und für die allgemeine Erhöhung der Versorgungssicherheit diskutiert, wobei in Trier und in der Region schon seit langem sehr stark in die Verbundnetzsysteme investiert wird.
In machine learning, classification is the task of predicting a label for each point within a data set. When the class of each point in the labeled subset is already known, this information is used to recognize patterns and make predictions about the points in the remainder of the set, referred to as the unlabeled set. This scenario falls in the field of supervised learning.
However, the number of labeled points can be restricted, because, e.g., it is expensive to obtain this information. Besides, this subset may be biased, such as in the case of self-selection in a survey. Consequently, the classification performance for unlabeled points may be limited. To improve the reliability of the results, semi-supervised learning tackles the setting of labeled and unlabeled data. Moreover, in many cases, additional information about the size of each class can be available from undisclosed sources.
This cumulative thesis presents different studies to combine this external cardinality constraint information within three important algorithms for binary classification in the supervised context: support vector machines (SVM), classification trees, and random forests. From a mathematical point of view, we focus on mixed-integer programming (MIP) models for semi-supervised approaches that consider a cardinality constraint for each class for each algorithm.
Furthermore, since the proposed MIP models are computationally challenging, we also present techniques that simplify the process of solving these problems. In the SVM setting, we introduce a re-clustering method and further computational techniques to reduce the computational cost. In the context of classification trees, we provide correct values for certain bounds that play a crucial role for the solver performance. For the random forest model, we develop preprocessing techniques and an intuitive branching rule to reduce the solution time. For all three methods, our numerical results show that our approaches have better statistical performances for biased samples than the standard approach.
Nachdem er in den 1750er und 1760er Jahren graphische Bildsatiren zu aktuellen innen- und außenpolitischen Themen veröffentlich hatte, wurde William Hogarth selbst in zahlreichen Karikaturen verspottet und verleumdet. Ausgehend von dieser Beobachtung fragt die vorliegende Dissertation, welche Haltung sich den politischen Blättern des Künstlers entnehmen lässt und mit welchen künstlerischen Mitteln er dieser Ausdruck verlieh. Durch Analyse der politischen Ikonographie lassen sich die Themen und Akteure beschreiben. Mit der rezeptionsästhetischen Methode unter Hinzunahme der Sprech- und Bildakttheorie und der Propaganda Studies werden ihre tendenziösen Aussagen und manipulative Absichten entschlüsselt.
In ihrer Regierungsaffinität unterscheidet sich Hogarths politische Kunst maßgeblich von der oppositionellen Bildsatire Londons. Die Differenz spiegelt sich v. a. in den persönlichen Angriffen, mit denen zeitgenössische Satiriker Hogarth kritisierten. Als erstes reagierte Paul Sandby („The Painter’s March from Finchly“, 1753) auf Hogarths Darstellung des Jakobitischen Aufstandes 1745, womit er eine Begründung für die von William Augustus, Duke of Cumberland angestrebte Militärreform lieferte („March of the Guards to Finchley“, 1751); Für seine Gin Act-Kampagne („Gin Lane“ und „Beer Street“, 1750/51) erweiterte er die Pro-Gin-Ikonographie der 1730er Jahre (Anonymous: „The lamentable Fall of Madam Geneva”, 1736, Anonymous: „To those melancholly Sufferers the Destillers […] The Funeral Procession of Madam Geneva“, 1751), um sich für die staatliche Reglementierung der Destillen auszusprechen. In seinen Publikationen zum Siebenjährigen Krieg, mit denen er die Politik der jeweiligen Regierungen unter Thomas Pellham-Holles, Duke of Newcastle und William Pitt (the Elder) („The Invasion“, 1756) oder John Stuart, Earl of Bute („The Times Pl. 1“, 1763) unterstützte, zeigt sich Hogarths Opportunismus. Letztlich wurde seine Fürsprache für die unbeliebte Tory-Regierung und seine Kritik an William Pitt Anlass für Hogarths Herabwürdigung durch die Whig-treue Satire. Nach diesem Bruch publizierten beide Seiten verunglimpfende Portraitkarikaturen, die auf Rufmord des Gegners durch Kriminalisierung, Deformation und Dämonisierung setzten (William Hogarth: „John Wilkes Esqr.“, 1763, Anonymous „Tit for Tat“, 1763, Anonymous: „An Answer to the Print of John Wilkes Esqr. by WM Hogarth“, 1763, Anonymous: „Pug the snarling cur chastised Or a Cure for the Mange“, 1763).
Die Bildvergleiche zwischen Hogarths politischen Werken und den Reaktionen, die sie hervorriefen, zeigen, dass der Unterschied nicht im Bildgegenstand oder der politischen Ikonographie liegt, sondern in der Ausrichtung ihrer politischen Einflussnahme. Dabei ist vor allem Hogarths regierungsloyale Haltung hervorzuheben. Folglich muss die Forschungsmeinung von einer grundsätzlich kritischen Haltung Hogarths redigiert werden, da er sich nachweislich konservativ positioniert und dem Regierungshandeln und Machterhalt der Eliten Vorschub leistete.
Das vorliegende Dissertationsvorhaben untersucht die propagandistische Qualität der Werke Hogarths im Vergleich zu den zeitgenössischen Satirikern und macht die unterschiedliche politische Stoßrichtung sichtbar. Aufschluss gibt dabei die Anwendung künstlerischer und karikaturesker Mittel (das „Wie“) zum Zweck der burlesque (Posse/Parodie), des ridicule (Lächerlichmachung/Spott) bis bin zur Agitation, sowohl in Hogarths Werken als auch in den Karikaturen, die gegen ihn gerichtet waren. Da William Hogarth diese Stilmittel maßgeblich prägte und ihre Entwicklung forcierte, werden sie in der vorliegenden Arbeit unter dem Begriff Hogarthian Wit summiert. Mithilfe der Methode und Begriffe der Propaganda Studies lassen sich Intention und Zweck (das „Was“) als Bildakte beschreiben: Während es sich bei den Werken grundsätzlich um bias handelte, die basierend auf einer Ideologie die öffentliche Meinung beeinflusste, nahm ihre Schlagkraft in den 1760er Jahren stark zu; auf verrätselte Stellungnahmen folgte persönliche und offene Kritik an öffentlichen Personen, bis hin zum Rufmord. Dabei rezipierten sich die Künstler gegenseitig und bildeten Thesen und Antithesen aus. Hogarths einseitige Darstellungen wurden korrigiert und ergänzt, seine politische Kunst als Propaganda enttarnt. Schließlich wurden ihm Lügen und üble Nachrede vorgeworfen. Indem sie ihn anklagten oder durch Sekundärstigmatisierung eine Bestrafung in effigie vornahmen, forderten die Werke vom Rezipienten ein strafendes Urteil. Zu den künstlerischen Mitteln, die dabei zur Anwendung kommen, gehören eine politische Ikonographie und stereotype Feindbilder sowie nationale Konstruktionen, rezeptionsästhetische Mittel wie Juxtapositionen, Rezeptions- und Identifikationsfiguren sowie rhetorische und Mittel des Sprechakts, bis hin zu Perlokutionen. Die Werke lassen sich als Propaganda und somit als hierarchische Kommunikation beschreiben, die manipulative Bildstrategien nutzten, welche nicht nur der Beeinflussung der öffentlichen Meinung dienten, sondern politische Handlungen forcierten. Bezeichnend ist, dass beide Seiten dieselben Ikonographie, Stil-, Kompositions- und Kommunikationsmittel anwendeten, unabhängig von ihrer politischen Aussage, wodurch der Hogarthian Wit gefestigt und stetig weiterentwickelt wurde.
The positive consequences of performance pay on the wages and productivity have been well documented in the last decades. Yet, the increased pressure and work commitment associated with performance pay suggest that performance pay may have unintended negative consequences on worker’s health and well-being. As firms increasingly use performance pay worldwide, it becomes crucial to evaluate positive and negative consequences of performance pay. Thus, Chapters 2 – 4 of this doctoral thesis investigate the unintended adverse consequences of performance pay on stress, alcohol consumption, and loneliness, respectively. Chapter 5 investigates the positive role of performance pay on mitigating the overeducation wage penalty and enhancing labor market position of overeducated workers.
In Chapter 2, together with John S. Heywood and Uwe Jirjahn, I examine the hypothesis that performance pay is positively associated with employee stress. Using unique survey data from the German Socio-Economic Panel, I find performance pay consistently and importantly associates with greater stress even controlling for a long list of economic, social, and personality characteristics. The finding also holds in instrumental variable estimations accounting for the potential endogeneity of performance pay. Moreover, I show that risk tolerance and locus of control moderate the relationship between performance pay and stress. Among workers receiving performance pay, the risk tolerant and those believing they can control their environment suffer to a lesser degree from stress.
Chapter 3 examines the relationship between performance pay and alcohol use. Together with John S. Heywood and Uwe Jirjahn, I examine the hypothesis that alcohol use as “self-medication” is a natural response to the stress and uncertainty associated with performance pay. Using data from the German Socio-Economic Panel, I find that the likelihood of consuming each of four types of alcohol (beer, wine, spirits, and mixed drinks) is higher for those receiving performance pay even controlling for a long list of economic, social, and personality characteristics and in sensible instrumental variable estimates. I also show that the number of types of alcohol consumed is larger for those receiving performance pay and that the intensity of consumption increases. Moreover, I find that risk tolerance and gender moderate the relationship between performance pay and alcohol use.
In Chapter 4, I examine the hypothesis that performance pay increases the risk of employee loneliness due to increased stress, job commitment, and uncooperativeness associated with performance pay. Using the German Socio-Economic Panel, I find that performance pay is positively associated with both the incidence and intensity of loneliness. Correspondingly, performance pay decreases the social life satisfaction of workers. The findings also hold in instrumental variable estimations addressing the potential endogeneity of performance pay and in various robustness checks. Interestingly, investigating the potential role of moderating factors reveals that the association between performance pay and loneliness is particularly large for private sector employees.
Finally, in Chapter 5, I study the association between overeducation, performance pay, and wages. Overeducated workers are more productive and have higher wages in comparison to their adequately educated coworkers in the same jobs. However, they face a series of challenges in the labor market, including lower wages in comparison to their similarly educated peers who are in correctly matched jobs. Yet, less consensus exists over the adjustment mechanisms to overcome the negative consequences of overeducation. In this study, I examine the hypotheses that overeducated workers sort into performance pay jobs as an adjustment mechanism and that performance pay enhances their wages. Using the German Socio-Economic Panel, I show that overeducation associates with a higher likelihood of sorting into performance pay jobs and that performance pay moderates the wages of overeducated workers positively. It also holds in endogenous switching regressions accounting for the potential endogeneity of performance pay. Importantly, I show that the positive role of performance pay is particularly larger for the wages of overeducated women.
Strategien der Komik im Internet-Meme - Ambivalente Funktionen einer internationalen Populärkultur
(2024)
Internet-Memes sind ein globales, populäres Medium, oft und zumeist unproblematisiert rezipiert und in ihrer Komik meist nur fragmentarisch, auf bestimmte Aspekte fokussiert analysiert. Die vorliegende Arbeit bemüht sich um eine möglichst umfassende Darstellung der Komik in Memes basierend auf klassischen und modernen Komikkategorien. Auf Grundlage einer umfassend-kritischen Synthese der vorliegenden Fachliteratur und eines präzisen Analysemodells kann so eine begründete Diskussion über memetische Komik, ihre Funktionen und ihre positiven wie problematischen Aspekte geführt werden.