When does a royalty clause with a guarantee lead to a no‐equilibrium situation in a licensing contract?

We consider a licensing agreement where a brand owner grants to a manufacturer the rights to use his own brand on the goods she produces. The ‘royalty’ clause requires that the licensee pays a monetary compensation for having such property and it generally consists of a percentage of the licensee's sales. Furthermore, a guaranteed minimum royalty, the so‐called guarantee, is also required, and it has to be paid even in the face of total failure of the property.

[1]  K. Arrow,et al.  OPTIMAL ADVERTISING POLICY UNDER DYNAMIC CONDITIONS , 1962 .

[2]  J. Ball OPTIMIZATION—THEORY AND APPLICATIONS Problems with Ordinary Differential Equations (Applications of Mathematics, 17) , 1984 .

[3]  Pradeep K. Chintagunta,et al.  A Dynamic Model of Channel Member Strategies for Marketing Expenditures , 1992 .

[4]  R. Hartl,et al.  Dynamic Optimal Control Models in Advertising: Recent Developments , 1994 .

[5]  D. Pitta,et al.  Understanding brand equity for successful brand extension , 1995 .

[6]  M. Bardi,et al.  Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations , 1997 .

[7]  Ngo Van Long,et al.  Differential Games in Economics and Management Science: List of tables , 2000 .

[8]  E. Dockner,et al.  Differential Games in Economics and Management Science , 2001 .

[9]  Georges Zaccour,et al.  Differential Games in Marketing , 2003 .

[10]  Tarun Kabiraj Patent Licensing in a Leadership Structure , 2004 .

[11]  X. Wang,et al.  On Technology Licensing in a Stackelberg Duopoly , 2004 .

[12]  Bruno Viscolani,et al.  Advertising for the introduction of an age‐sensitive product , 2005 .

[13]  L. Filippini,et al.  Licensing Contract in a Stackelberg Model , 2005 .

[14]  Tarun Kabiraj Technology Transfer in a Stackelberg Structure: Licensing Contracts and Welfare , 2005 .

[15]  George Leitmann,et al.  Degenerate Feedback and Time Consistency in Differential Games , 2005 .

[16]  Bruno Viscolani,et al.  Advertising in a segmented market: comparison of media choices , 2007 .

[17]  Georges Zaccour,et al.  Coordination of Advertising Strategies in a Fashion Licensing Contract , 2009, J. Optimization Theory and Applications.

[18]  Alessandra Buratto Advertising and Price to Sustain The Brand Value in a Licensing Contract , 2013 .