Business Administration
Permanent URI for this collectionhttps://hdl.handle.net/10679/42
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ArticlePublication Open Access Captive jump processes for bounded random systems with discontinuous dynamics(Elsevier, 2024-01) Macrina, A.; Mengütürk, L. A.; Mengütürk, Murat Cahit; Business Administration; MENGÜTÜRK, Murat CahitStochastic captive jump processes are explicitly constructed in continuous time, whose non-linear dynamics are strictly confined by bounded domains that can be time-dependent. By introducing non-anticipative path-dependency, the framework offers the possibility of generating multiple inner tunnels within a master domain, such that a captive jump process is allowed to proceed either within a single inner tunnel or jump in between tunnels without ever penetrating the outermost shell. If a captive jump process is a continuous martingale or a pure-jump process, the uppermost confining boundary is non-decreasing, and the lowermost confining boundary is non-increasing. Under certain conditions, it can be shown that captive jump processes are invariant under monotonic transformations, enabling one to construct and study systems of increasing complexity using simpler building blocks. Amongst many applications, captive jump processes may be considered to model phenomena such as electrons transitioning from one orbit (valence shell) to another, quantum tunnelling where stochastic wave-functions can “penetrate” inner boundaries (i.e., walls) of potential energy, non-linear dynamical systems involving multiple attractors, and sticky concentration behaviour of pathogens in epidemics. We provide concrete, worked-out examples, and numerical simulations for the dynamics of captive jump processes within different geometries as demonstrations.ArticlePublication Open Access How do line extensions impact brand sales? The role of feature similarity and brand architecture(Springer, 2023-11) Sezen, B.; Pauwels, K.; Ataman, Mehmet Berk; Business Administration; ATAMAN, Mehmet BerkBrand architecture decisions have important performance implications but have seen little quantitative research. In particular, there is little empirical evidence on how the strength of the link established among clusters of products within the company’s portfolio impact the sales effects of typical marketing actions such as line extensions. This paper quantifies the effect of different brand architecture choices and product feature similarity in moderating the impact of line extensions on brand sales. Based on categorization theory, the authors hypothesize that brand name similarity and feature similarity, both independently, and in interaction, increase brand cannibalization. The empirical analysis in three consumer packaged-goods categories shows that it is more critical to minimize the feature similarity than brand name similarity to limit cannibalization and generate higher incremental sales from line extensions. Controlling for feature similarity, line extensions introduced under sub-brands cause greater cannibalization.