Club Good Intermediaries∗ Simon Loertscher† Leslie M. Marx‡ September 4, 2016 Abstract The emergence and ubiquitous presence in everyday life of digital goods such as songs, movies, and e-books give renewed salience to the problem of providing public goods with exclusion. Because digital goods are typically traded via inter- mediaries like iTunes, Amazon, and Netflix, the question arises as to the optimal pricing mechanism for such club good intermediaries. We derive the direct Bayesian optimal mechanism for allocating club goods when the mechanism designer is an intermediary that neither produces nor consumes the goods, and we develop an indirect mechanism that implements this mechanism. We also derive sufficient con- ditions for the intermediary-optimal mechanism to be implementable with revenue sharing contracts, which are widely used in e-business. Keywords: revenue maximization, excludable public goods, two-sided platforms, optimal pricing, digital goods JEL Classification: C72, D82, L13 ∗We thank seminar participants at the 34th Australasian Economic Theory Workshop, C´edric Wasser, and an anonymous referee for helpful comments. †Department of Economics, Level 4, FBE Building, 111 Barry Street, University of Melbourne, Victoria 3010, Australia. Email:
[email protected]. ‡The Fuqua School of Business, Duke University, 100 Fuqua Drive, Durham, NC 27708, USA: Email:
[email protected]. 1 Introduction The issue of optimal public goods provision has achieved new salience with the emergence of digital goods like e-books, downloadable songs, and movies along with new technologies that make exclusion and distribution possible at negligible marginal costs. An aspect not present in the analysis of excludable public goods or “club goods” in the age of the internet is that consumers gain access to these digital goods via an intermediary such as Amazon, iTunes, Spotify, or Netflix rather than contracting directly with the producer of the club good as they might with the owner of a country club.