Closed-Form Solutions to Bundling Problems

"This paper investigates the case of a monopolist selling two distinct goods to a group of m traders who are characterized by their reservation prices, which are drawn independently from uniform distributions over the intervals" [ "0, R 1 "] "and" [ "0, R 2 "] . "Closed-form solutions are derived for optimal prices, quantities, profits, and consumers' surplus under situations of separate sales, pure bundling, and mixed bundling. This allows a clear comparison of the price, output, and welfare effects of various forms of bundling. We further investigate situations of positive marginal cost, positive and negative correlation of reservation values, and substitutes and complements." Copyright (c) 2010, The Author(s) Journal Compilation (c) 2010 Wiley Periodicals, Inc..

[1]  W. Kamakura,et al.  Optimal Bundling and Pricing Under a Monopoly: Contrasting Complements and Substitutes from Independently Valued Products , 2003 .

[2]  M. Salinger A Graphical Analysis of Bundling , 1995 .

[3]  Bruce H. Kobayashi Does Economics Provide a Reliable Guide to Regulating Commodity Bundling by Firms? A Survey of the Economic Literature , 2005 .

[4]  Yannis Bakos,et al.  Bundling Information Goods: Pricing, Profits and Efficiency , 1998 .

[5]  Option Package Bundling , 2011 .

[6]  J. Eckalbar Stable quantities in fixed price disequilibrium , 1981 .

[7]  Bundling and Vertical Relationships in Multichannel Television ∗ ( Job Market Paper ) , 2008 .

[8]  Richard Schmalensee,et al.  Commodity Bundling by Single-Product Monopolies , 1982, The Journal of Law and Economics.

[9]  M. Whinston,et al.  Multiproduct Monopoly, Commodity Bundling, and Correlation of Values , 1989 .

[10]  Alan T. Sorensen,et al.  Nearly Optimal Pricing for Multiproduct Firms , 2008 .

[11]  Janet L. Yellen,et al.  Commodity Bundling and the Burden of Monopoly , 1976 .

[12]  G. Stigler United States v. Loew's Inc.: A Note on Block-Booking , 1963, The Supreme Court Review.

[13]  Richard Schmalensee,et al.  Gaussian Demand and Commodity Bundling , 1984 .

[14]  B. Nalebuff Bundling as an Entry Barrier , 2004 .

[15]  A. Mantovani The Strategic Effect of Bundling: A New Perspective , 2010 .

[16]  J. Waldfogel,et al.  The Challenge of Revenue Sharing with Bundled Song Pricing , 2008 .

[17]  John Thanassoulis,et al.  Competitive Mixed Bundling and Consumer Surplus , 2007 .