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Step by Step Innovation without Mutually Exclusive Patenting: Implications for the Inverted U

  • Norman Sedgley EMAIL logo
Veröffentlicht/Copyright: 16. Juni 2022

Abstract

The step by step model of innovation is a benchmark model in research investigating the relationship between competition and innovation. The model assumes an industry can be in one of two states; leveled or unleveled. In an unleveled state the lagging firm is the only innovator. In a leveled state firms compete in a patent race. In this patent race successful innovation probabilities are mutually exclusive. This formulation provides mathematical tractability, but it has no other justification. I relax this assumption and use numerical simulation to demonstrate that allowing for non mutually exclusive success in innovation has important consequences for the inverted U relationship. The inverted U relationship is no longer a prediction of the model. In addition, the model predicts that patent measures will under count innovation from the leveled state, allowing for an inverted U relationship between competition and patenting under a narrow set of parameter restrictions. This theoretical exercise has important implications for understanding the current state of the empirical record on this topic.


Corresponding author: Norman Sedgley, Sellinger School of Business, Management Loyola University Maryland, Baltimore, USA, E-mail:

The author is grateful to John Burger, Bruce Elmslie and two anonymous referees for their helpful comments and suggestions.


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Supplementary Material

The online version of this article offers supplementary material (https://doi.org/10.1515/bejte-2021-0112).


Received: 2021-09-07
Revised: 2022-04-24
Accepted: 2022-04-25
Published Online: 2022-06-16

© 2022 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 18.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/bejte-2021-0112/pdf?lang=de
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