{"title":"斯塔克尔伯格差异化二元垄断中降低成本创新的许可证制度","authors":"","doi":"10.1016/j.econmod.2024.106893","DOIUrl":null,"url":null,"abstract":"<div><div>This study investigates the licensing of a cost-reducing innovation by a firm to its direct competitor in a Stackelberg-differentiated duopoly. We find that the licensor's market position coupled with the product's nature and innovation size play an important role in framing the licensing agreement and its welfare impact. When acting as the market leader in determining output, the licensor offers its competitor a pure ad valorem royalty contract if the products are close substitutes for each other or if the innovation is sufficiently large in the case of distant substitutes; otherwise, a per-unit royalty combined with a fixed fee is preferred. However, if the licensor acts as a follower in the product market, the licence comprises a per-unit royalty, sometimes combined with a fixed payment. Compared with the pre-licensing context, licensing by a market follower is never welfare-reducing, whereas licensing by a market leader is only welfare-reducing when products are extremely close substitutes. Optimal licensing with complementary products is also studied, which could result in a per-unit subsidy.</div></div>","PeriodicalId":48419,"journal":{"name":"Economic Modelling","volume":null,"pages":null},"PeriodicalIF":4.2000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Licensing of a cost-reducing innovation in a Stackelberg-differentiated duopoly\",\"authors\":\"\",\"doi\":\"10.1016/j.econmod.2024.106893\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study investigates the licensing of a cost-reducing innovation by a firm to its direct competitor in a Stackelberg-differentiated duopoly. We find that the licensor's market position coupled with the product's nature and innovation size play an important role in framing the licensing agreement and its welfare impact. When acting as the market leader in determining output, the licensor offers its competitor a pure ad valorem royalty contract if the products are close substitutes for each other or if the innovation is sufficiently large in the case of distant substitutes; otherwise, a per-unit royalty combined with a fixed fee is preferred. However, if the licensor acts as a follower in the product market, the licence comprises a per-unit royalty, sometimes combined with a fixed payment. Compared with the pre-licensing context, licensing by a market follower is never welfare-reducing, whereas licensing by a market leader is only welfare-reducing when products are extremely close substitutes. Optimal licensing with complementary products is also studied, which could result in a per-unit subsidy.</div></div>\",\"PeriodicalId\":48419,\"journal\":{\"name\":\"Economic Modelling\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.2000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Economic Modelling\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0264999324002505\",\"RegionNum\":2,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economic Modelling","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0264999324002505","RegionNum":2,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ECONOMICS","Score":null,"Total":0}
Licensing of a cost-reducing innovation in a Stackelberg-differentiated duopoly
This study investigates the licensing of a cost-reducing innovation by a firm to its direct competitor in a Stackelberg-differentiated duopoly. We find that the licensor's market position coupled with the product's nature and innovation size play an important role in framing the licensing agreement and its welfare impact. When acting as the market leader in determining output, the licensor offers its competitor a pure ad valorem royalty contract if the products are close substitutes for each other or if the innovation is sufficiently large in the case of distant substitutes; otherwise, a per-unit royalty combined with a fixed fee is preferred. However, if the licensor acts as a follower in the product market, the licence comprises a per-unit royalty, sometimes combined with a fixed payment. Compared with the pre-licensing context, licensing by a market follower is never welfare-reducing, whereas licensing by a market leader is only welfare-reducing when products are extremely close substitutes. Optimal licensing with complementary products is also studied, which could result in a per-unit subsidy.
期刊介绍:
Economic Modelling fills a major gap in the economics literature, providing a single source of both theoretical and applied papers on economic modelling. The journal prime objective is to provide an international review of the state-of-the-art in economic modelling. Economic Modelling publishes the complete versions of many large-scale models of industrially advanced economies which have been developed for policy analysis. Examples are the Bank of England Model and the US Federal Reserve Board Model which had hitherto been unpublished. As individual models are revised and updated, the journal publishes subsequent papers dealing with these revisions, so keeping its readers as up to date as possible.