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The Kernel of a Patent Licensing Game

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  • Shin Kishimoto
  • Naoki Watanabe

Abstract

This paper considers general bargaining outcomes under coalition structures formed by an external patent holder and firms in oligopoly markets. The main propositions are as follows. For each coalition structure, the kernel is a singleton; thus, the number of licensees that maximizes the patent holder's revenue can be determined. The upper and lower bounds of the kernel are specified for each coalition structure. We also provide sufficient conditions for the number of licensees that maximizes their total surplus to be optimal for the patent holder.

Suggested Citation

  • Shin Kishimoto & Naoki Watanabe, 2014. "The Kernel of a Patent Licensing Game," Working Papers e075, Tokyo Center for Economic Research.
    • Handle: RePEc:tcr:wpaper:e75
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    References listed on IDEAS

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    1. Sen, Debapriya & Tauman, Yair, 2007. "General licensing schemes for a cost-reducing innovation," Games and Economic Behavior, Elsevier, vol. 59(1), pages 163-186, April.
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    7. M. Maschler & B. Peleg & L. S. Shapley, 1979. "Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 303-338, November.
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    9. Yair Tauman & Naoki Watanabe, 2007. "The Shapley Value of a Patent Licensing Game: the Asymptotic Equivalence to Non-cooperative Results," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 135-149, January.
    10. 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.
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