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One-Way Essential Complements

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Author Info
Chen, M. Keith (Yale U)
Nalebuff, Barry
Abstract

While competition between firms producing substitutes is well understood, less is known about rivalry between complementors. We study the interaction between firms in markets with one-way essential complements. One good is essential to the use of the other but not vice versa, as arises with an operating system and applications. Our interest is in the division of surplus between the two goods and the related incentive for firms to create complements to an essential good. Formally, we study a two-good model where consumers value A alone, but can only enjoy B if they also purchase A. When one firm sells A and another sells B, the firm that sells B earns a majority of the value it creates. However, if the A firm were to buy the B firm, it would optimaly charge zero for B, provided marginal costs are zero and the average value of B is small relative to A. Hence, absent strong antitrust or intellectual property protections, the A firm can leverage its monopoly into B costlessly by producing a competing version of B and giving it away. For example, Microsoft provided Internet Explorer as a free substitute for Netscape; in our model, this maximizes Microsoft's joint monopoly profits. Furthermore, Microsoft has no incentive to raise prices, even if al browser competition exits. This may seem surprising since it runs counter to the traditional gains from price discrimination and versioning. We also show that an essential monopolist has no incentive to degrade rival complementary products, which suggests that a monopoly internet service provider will offer net neutrality. There are other means for the essential A monopolist to capture surplus from B. We consider the incentive to add a surcharge (or subsidy) to the price of B, or to act as a Stackelberg leader. We find a small gain from pricing first, but much greater profits from adding a surcharge to the price of B. The potential for A to capture B's surplus highlights the challenges facing a firm whose product depends on an essential good.

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Paper provided by Yale University, Department of Economics in its series Working Papers with number 22.

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Date of creation: Nov 2006
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Handle: RePEc:ecl:yaleco:22

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C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

References listed on IDEAS
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  1. Raymond J. Deneckere & R. Preston McAfee, 1996. "Damaged Goods," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 5(2), pages 149-174, 06. [Downloadable!] (restricted)
  2. Joseph Farrell and Michael L. Katz., 2000. "Innovation, Rent Extraction, and Integration in Systems Markets," Economics Working Papers E00-286, University of California at Berkeley. [Downloadable!]
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  3. Barry Nalebuff, 2000. "Competing Against Bundles," Yale School of Management Working Papers ysm157, Yale School of Management. [Downloadable!]
  4. Hugo Sonnenschein, 1968. "The Dual of Duopoly Is Complementary Monopoly: or, Two of Cournot's Theories Are One," Journal of Political Economy, University of Chicago Press, vol. 76, pages 316. [Downloadable!] (restricted)
  5. Adams, William James & Yellen, Janet L, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, MIT Press, vol. 90(3), pages 475-98, August. [Downloadable!] (restricted)
  6. McAfee, R Preston & McMillan, John & Whinston, Michael D, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 371-83, May. [Downloadable!] (restricted)
  7. Whinston, Michael D, 1990. "Tying, Foreclosure, and Exclusion," American Economic Review, American Economic Association, vol. 80(4), pages 837-59, September. [Downloadable!] (restricted)
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  1. Ramon Casadesus-Masanell & Barry Nalebuff & David B. Yoffie, 2007. "Competing Complements," Working Papers 07-44, NET Institute, revised Nov 2007. [Downloadable!]
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