The Shapley value as a guide to FRAND licensing agreements

We consider the problem of specifying Fair, Reasonable And Non-Discriminatory agreements faced by standard-setting organizations. Along with Layne-Farrar, Padilla and Schmalensee (2007), we model the problem as a cooperative game with transferable utility, allowing for patents to be weak in the sense that they have substitutes. Assuming that a value has been assigned to weak patents, we obtain a formula for the Shapley value that gives an insight into what FRAND agreements should look like.