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Bargaining outcomes in patent licensing: Asymptotic results in a general Cournot market

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  • Kishimoto, Shin
  • Watanabe, Naoki
  • Muto, Shigeo

Abstract

We study asymptotic bargaining outcomes in licensing a patented technology of an external patent holder to firms in a general Cournot market. Our results are as follows: when the number of firms is large, the bargaining set for each permissible coalition structure suggests that the patent holder should extract the entire profits of all licensees. The outcome that the bargaining finally reaches exactly coincides with the non-cooperative outcome, and it cannot be improved upon even by any objections with almost zero cost. Thus, it is strongly stable. The fair allocation represented by the Aumann-Drèze value is, however, not realized as such a stable bargaining outcome.

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  • Kishimoto, Shin & Watanabe, Naoki & Muto, Shigeo, 2011. "Bargaining outcomes in patent licensing: Asymptotic results in a general Cournot market," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 114-123, March.
  • Handle: RePEc:eee:matsoc:v:61:y:2011:i:2:p:114-123
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    2. Eric Bahel & Christian Trudeau, 2018. "Consistency requirements and pattern methods in cost sharing problems with technological cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 737-765, September.
    3. Nakada, Satoshi & Shirakawa, Ryo, 2023. "On the core of a patent licensing game," Economics Letters, Elsevier, vol. 233(C).
    4. Sudipto Bhattacharya & Claude d’Aspremont & Sergei Guriev & Debapriya Sen & Yair Tauman, 2014. "Cooperation in R&D: Patenting, Licensing, and Contracting," International Series in Operations Research & Management Science, in: Kalyan Chatterjee & William Samuelson (ed.), Game Theory and Business Applications, edition 2, chapter 0, pages 265-286, Springer.
    5. Negoro, Kazuhiro & Matsubayashi, Nobuo, 2021. "Game-theoretic analysis of partner selection strategies for market entry in global supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 151(C).
    6. Kishimoto, Shin & Watanabe, Naoki, 2017. "The kernel of a patent licensing game: The optimal number of licensees," Mathematical Social Sciences, Elsevier, vol. 86(C), pages 37-50.
    7. Kishimoto, Shin, 2013. "Stable bargaining outcomes in patent licensing: A cooperative game approach without side payments," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 183-195.
    8. Shin Kishimoto & Naoki Watanabe, 2014. "The Kernel of a Patent Licensing Game," Working Papers e075, Tokyo Center for Economic Research.
    9. Hiroaki Ino, 2010. "Fee Versus Royalties in General Cost functions," Discussion Paper Series 65, School of Economics, Kwansei Gakuin University, revised Nov 2010.
    10. Hirai, Toshiyuki & Watanabe, Naoki & Muto, Shigeo, 2019. "Farsighted stability in patent licensing: An abstract game approach," Games and Economic Behavior, Elsevier, vol. 118(C), pages 141-160.
    11. Hirai, Toshiyuki & Watanabe, Naoki, 2018. "von Neumann–Morgenstern stable sets of a patent licensing game: The existence proof," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 1-12.
    12. Kishimoto, Shin & Suzuki, Keishun, 2021. "Growth and Welfare Effects of Interventions in Patent Licensing Negotiations," MPRA Paper 108009, University Library of Munich, Germany.
    13. Li, Hai & Qing, Qiankai & Wang, Juan & Hong, Xianpei, 2021. "An analysis of technology licensing and parallel importation under different market structures," European Journal of Operational Research, Elsevier, vol. 289(1), pages 132-143.
    14. Dang, Jianwei & Motohashi, Kazuyuki & Huo, Dong, 2022. "Get Pennies from many or get a Dollar from one? Multiple licensing in markets for technology," Technovation, Elsevier, vol. 113(C).

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