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(2021). <i>Revenue Sharing Contracts: Horizontale Koordination in der E-Commerce-Logistik</i>. Universität Paderborn.","ieee":"N. N., <i>Revenue Sharing Contracts: Horizontale Koordination in der E-Commerce-Logistik</i>. Universität Paderborn, 2021.","short":"N. N., Revenue Sharing Contracts: Horizontale Koordination in Der E-Commerce-Logistik, Universität Paderborn, 2021.","chicago":"N., N. <i>Revenue Sharing Contracts: Horizontale Koordination in Der E-Commerce-Logistik</i>. Universität Paderborn, 2021.","mla":"N., N. <i>Revenue Sharing Contracts: Horizontale Koordination in Der E-Commerce-Logistik</i>. Universität Paderborn, 2021.","ama":"N. N. <i>Revenue Sharing Contracts: Horizontale Koordination in Der E-Commerce-Logistik</i>. 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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"}],"language":[{"iso":"eng"}],"author":[{"full_name":"Hoof, Simon","last_name":"Hoof","first_name":"Simon"}],"publication_identifier":{"issn":["1573-2878"]},"title":"Dynamic Monopolistic Competition","year":"2021","intvolume":"       189","date_updated":"2023-07-05T07:23:54Z","publication_status":"published","citation":{"chicago":"Hoof, Simon. “Dynamic Monopolistic Competition.” <i>Journal of Optimization Theory and Applications</i> 189, no. 2 (2021).","short":"S. Hoof, Journal of Optimization Theory and Applications 189 (2021).","ieee":"S. Hoof, “Dynamic Monopolistic Competition,” <i>Journal of Optimization Theory and Applications</i>, vol. 189, no. 2, 2021.","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} }","ama":"Hoof S. 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