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Universität Paderborn; 2021."}},{"title":"Dynamic Monopolistic Competition","date_created":"2023-06-15T14:05:25Z","publisher":"Springer","year":"2021","issue":"2","quality_controlled":"1","language":[{"iso":"eng"}],"abstract":[{"text":"I study a dynamic variant of the Dixit–Stiglitz (Am Econ Rev 67(3), 1977) model of monopolistic competition by introducing price stickiness à la Fershtman and Kamien (Econometrica 55(5), 1987). The analysis is restricted to bounded quantity and price paths that fulfill the necessary conditions for an open-loop Nash equilibrium. I show that there exists a symmetric steady state and that its stability depends on the degree of product differentiation. When moving from complements to perfect substitutes, the steady state is either a locally asymptotically unstable (spiral) source, a stable (spiral) sink or a saddle point. I further apply the Hopf bifurcation theorem and prove the existence of limit cycles, when passing from a stable to an unstable steady state. Lastly, I provide a numerical example and show that there exists a stable limit cycle.","lang":"eng"}],"publication":"Journal of Optimization Theory and Applications","volume":189,"author":[{"last_name":"Hoof","full_name":"Hoof, Simon","first_name":"Simon"}],"date_updated":"2023-07-05T07:23:54Z","intvolume":"       189","citation":{"apa":"Hoof, S. (2021). Dynamic Monopolistic Competition. <i>Journal of Optimization Theory and Applications</i>, <i>189</i>(2).","bibtex":"@article{Hoof_2021, title={Dynamic Monopolistic Competition}, volume={189}, number={2}, journal={Journal of Optimization Theory and Applications}, publisher={Springer}, author={Hoof, Simon}, year={2021} }","short":"S. Hoof, Journal of Optimization Theory and Applications 189 (2021).","mla":"Hoof, Simon. “Dynamic Monopolistic Competition.” <i>Journal of Optimization Theory and Applications</i>, vol. 189, no. 2, Springer, 2021.","ama":"Hoof S. Dynamic Monopolistic Competition. <i>Journal of Optimization Theory and Applications</i>. 2021;189(2).","ieee":"S. Hoof, “Dynamic Monopolistic Competition,” <i>Journal of Optimization Theory and Applications</i>, vol. 189, no. 2, 2021.","chicago":"Hoof, Simon. “Dynamic Monopolistic Competition.” <i>Journal of Optimization Theory and Applications</i> 189, no. 2 (2021)."},"publication_identifier":{"issn":["1573-2878"]},"publication_status":"published","department":[{"_id":"205"},{"_id":"475"}],"user_id":"477","_id":"45640","project":[{"name":"SFB 901 - A3: SFB 901 - Der Markt für Services: Anreize, Algorithmen, Implementation (Subproject A3)","_id":"7","grant_number":"160364472"},{"grant_number":"160364472","name":"SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen in dynamischen Märkten ","_id":"1"},{"_id":"2","name":"SFB 901 - A: SFB 901 - Project Area A"}],"status":"public","type":"journal_article"},{"type":"working_paper","abstract":[{"lang":"eng","text":"Individual cognitive functioning declines over time. We seek to understand how adverse physical health shocks in older ages contribute to this development. By use of event-study methods and data from the USA, England and several countries in Continental Europe we find evidence that health shocks lead to an immediate and persistent decline in cognitive functioning. This robust finding holds in all regions representing different health insurance systems and seems to be independent of underlying individual demographic characteristics such as sex and age. We also ask whether variables that are susceptible to policy action can reduce the negative consequences of a health shock. Our results suggest that neither compulsory education nor retirement regulations moderate the effects, thus emphasizing the importance of maintaining good physical health in old age for cognitive functioning."}],"status":"public","_id":"46540","series_title":" Ruhr Economic Papers","user_id":"53779","department":[{"_id":"281"},{"_id":"475"}],"keyword":["Cognitive decline","health shocks","retirement","education","event study"],"language":[{"iso":"eng"}],"year":"2021","citation":{"chicago":"Schiele, Valentin, and Hendrik Schmitz. <i>Understanding Cognitive Decline in Older Ages: The Role of Health Shocks</i>. Vol. 919.  Ruhr Economic Papers. RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen, 2021.","ieee":"V. Schiele and H. Schmitz, <i>Understanding cognitive decline in older ages: The role of health shocks</i>, vol. 919. RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen, 2021.","ama":"Schiele V, Schmitz H. <i>Understanding Cognitive Decline in Older Ages: The Role of Health Shocks</i>. Vol 919. RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen; 2021.","bibtex":"@book{Schiele_Schmitz_2021, series={ Ruhr Economic Papers}, title={Understanding cognitive decline in older ages: The role of health shocks}, volume={919}, publisher={RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen}, author={Schiele, Valentin and Schmitz, Hendrik}, year={2021}, collection={ Ruhr Economic Papers} }","short":"V. Schiele, H. Schmitz, Understanding Cognitive Decline in Older Ages: The Role of Health Shocks, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen, 2021.","mla":"Schiele, Valentin, and Hendrik Schmitz. <i>Understanding Cognitive Decline in Older Ages: The Role of Health Shocks</i>. RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen, 2021.","apa":"Schiele, V., &#38; Schmitz, H. (2021). <i>Understanding cognitive decline in older ages: The role of health shocks</i> (Vol. 919). RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen."},"intvolume":"       919","publisher":"RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen","date_updated":"2023-08-20T17:53:54Z","date_created":"2023-08-16T10:47:00Z","author":[{"first_name":"Valentin","id":"53779","full_name":"Schiele, Valentin","last_name":"Schiele"},{"first_name":"Hendrik","full_name":"Schmitz, Hendrik","id":"48879","last_name":"Schmitz"}],"volume":919,"title":"Understanding cognitive decline in older ages: The role of health shocks"},{"type":"working_paper","status":"public","abstract":[{"lang":"eng","text":"We study effects of retirement on cognitive abilities (up to ten years after retirement) using data from 21 countries in Continental Europe, England, and the US, and exploiting early-retirement thresholds for identification. For this purpose, combines event-study estimations with the marginal treatment effect framework to allow for effect heterogeneity. This helps to decompose event-study estimates into true medium-run effects of retirement and effects driven by differential retirement preferences. Our results suggest considerable negative effects of retirement on cognitive abilities. We also detect substantial effect heterogeneity: Those who retire as early as possible are not affected while those who retire later exhibit negative effects."}],"user_id":"53779","series_title":" Ruhr Economic Papers","department":[{"_id":"281"},{"_id":"475"}],"_id":"46537","language":[{"iso":"eng"}],"keyword":["Cognitive abilities","retirement","event study","marginal treatment effects"],"citation":{"apa":"Schmitz, H., &#38; Westphal, M. (2021). <i>The dynamic and heterogeneous effects of retirement on cognitive decline</i> (Vol. 918). RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.","bibtex":"@book{Schmitz_Westphal_2021, series={ Ruhr Economic Papers}, title={The dynamic and heterogeneous effects of retirement on cognitive decline}, volume={918}, publisher={RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen}, author={Schmitz, Hendrik and Westphal, Matthias}, year={2021}, collection={ Ruhr Economic Papers} }","mla":"Schmitz, Hendrik, and Matthias Westphal. <i>The Dynamic and Heterogeneous Effects of Retirement on Cognitive Decline</i>. RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen, 2021.","short":"H. Schmitz, M. Westphal, The Dynamic and Heterogeneous Effects of Retirement on Cognitive Decline, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen, 2021.","ama":"Schmitz H, Westphal M. <i>The Dynamic and Heterogeneous Effects of Retirement on Cognitive Decline</i>. Vol 918. RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen; 2021.","ieee":"H. Schmitz and M. Westphal, <i>The dynamic and heterogeneous effects of retirement on cognitive decline</i>, vol. 918. RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen, 2021.","chicago":"Schmitz, Hendrik, and Matthias Westphal. <i>The Dynamic and Heterogeneous Effects of Retirement on Cognitive Decline</i>. Vol. 918.  Ruhr Economic Papers. 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