{"issue":"2","title":"Dynamic Monopolistic Competition","_id":"45640","publisher":"Springer","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","user_id":"477","date_created":"2023-06-15T14:05:25Z","project":[{"name":"SFB 901 - A3: SFB 901 - Der Markt für Services: Anreize, Algorithmen, Implementation (Subproject A3)","_id":"7","grant_number":"160364472"},{"name":"SFB 901: SFB 901: On-The-Fly Computing - Individualisierte IT-Dienstleistungen in dynamischen Märkten ","grant_number":"160364472","_id":"1"},{"name":"SFB 901 - A: SFB 901 - Project Area A","_id":"2"}],"status":"public","type":"journal_article","volume":189,"year":"2021","date_updated":"2023-07-05T07:23:54Z","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1573-2878"]},"citation":{"chicago":"Hoof, Simon. “Dynamic Monopolistic Competition.” <i>Journal of Optimization Theory and Applications</i> 189, no. 2 (2021).","apa":"Hoof, S. (2021). Dynamic Monopolistic Competition. <i>Journal of Optimization Theory and Applications</i>, <i>189</i>(2).","short":"S. Hoof, Journal of Optimization Theory and Applications 189 (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.","mla":"Hoof, Simon. “Dynamic Monopolistic Competition.” <i>Journal of Optimization Theory and Applications</i>, vol. 189, no. 2, Springer, 2021.","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} }"},"quality_controlled":"1","author":[{"full_name":"Hoof, Simon","first_name":"Simon","last_name":"Hoof"}],"department":[{"_id":"205"},{"_id":"475"}],"publication_status":"published","intvolume":"       189"}