Price Discrimination in Many-to-Many Matching Markets !

We study second-degree price discrimination in markets where the product traded by the monopolist is access to other agents. We derive necessary and sufficient conditions for the welfareand the profit-maximizing mechanisms to employ a single network or a menu of non-exclusive networks. We characterize the optimal matching schedules under a wide range of preferences, derive implications for prices, and deliver testable predictions relating the structure of the optimal pricing strategies to conditions on the distribution of match qualities. Our analysis sheds light on the distortions associated with the private provision of broadcasting, health insurance and job matching services. JEL Classification Numbers:D82

[1]  D. Epple,et al.  American Economic Association Competition between Private and Public Schools , Vouchers , and Peer-Group Effects , 2007 .

[2]  E. Weyl The Price Theory of Two-Sided Markets , 2006 .

[3]  S. Rosen,et al.  Monopoly and product quality , 1978 .

[4]  Atila Abdulkadiroglu,et al.  School Choice: A Mechanism Design Approach , 2003 .

[5]  Lones Smith,et al.  Assortative Matching and Search , 2000 .

[6]  P. Jehiel,et al.  Partnership dissolution with interdependent values , 2006 .

[7]  Ettore Damiano,et al.  Competing Matchmaking , 2004 .

[8]  Ettore Damiano,et al.  Price discrimination and efficient matching , 2006 .

[9]  J. Rochet,et al.  Platform competition in two sided markets , 2003 .

[10]  J. Rochet,et al.  Two-sided markets: a progress report , 2006 .

[11]  M. Satterthwaite,et al.  Efficient Mechanisms for Bilateral Trading , 1983 .

[12]  Eric T. Anderson,et al.  When is Price Discrimination Profitable? , 2008, Manag. Sci..

[13]  M. Armstrong Multiproduct Nonlinear Pricing , 1996 .

[14]  Richard P. McLean,et al.  FULL EXTRACTION OF THE SURPLUS IN BAYESIAN AND DOMINANT STRATEGY AUCTIONS , 1988 .

[15]  B. Caillaud,et al.  Chicken & Egg: Competition Among Intermediation Service Providers , 2003 .

[16]  B. Moldovanu,et al.  The Theory of Assortative Matching Based on Costly Signals , 2005 .

[17]  Marc Rysman The Economics of Two-Sided Markets , 2009 .

[18]  Parag A. Pathak,et al.  The New York City High School Match , 2005 .

[19]  Drew Fudenberg,et al.  The neo-Luddite's lament: excessive upgrades in the software industry , 2000 .

[20]  Jeremy I. Bulow,et al.  The Simple Economics of Optimal Auctions , 1989, Journal of Political Economy.

[21]  Robert B. Wilson Efficient and Competitive Rationing , 1989 .

[22]  Bruno Jullien,et al.  Competing Cybermediaries , 2000 .

[23]  Steven R. Williams,et al.  Convergence to Efficiency in a Simple Market with Incomplete Information , 1994 .

[24]  Suzanne Scotchmer,et al.  Local public goods and clubs , 2002 .

[25]  Attila Ambrus,et al.  Asymmetric networks in two-sided markets , 2009 .

[26]  Andrei Hagiu Pricing and commitment by two‐sided platforms , 2006 .

[27]  Roland Strausz,et al.  Deterministic versus stochastic mechanisms in principal-agent models , 2006, J. Econ. Theory.

[28]  Lones Smith,et al.  The Marriage Model with Search Frictions , 1997 .

[29]  Heidrun C. Hoppe,et al.  Coarse matching with incomplete information , 2008 .

[30]  Terence R. Johnson,et al.  Matching through position auctions , 2013, J. Econ. Theory.

[31]  Alvin E. Roth,et al.  Two-Sided Matching: A Study in Game-Theoretic Modeling and Analysis , 1990 .

[32]  E. Lazear,et al.  Educational Production , 1999 .

[33]  Alp E. Atakan Assortative Matching with Explicit Search Costs , 2006 .

[34]  R. McAfee Efficient allocation with continuous quantities , 1991 .

[35]  Benny Moldovanu,et al.  Partnerships, lemons, and efficient trade , 1999, J. Econ. Theory.

[36]  Jan Eeckhout,et al.  Sorting and Decentralized Price Competition , 2008 .

[37]  Jeroen M. Swinkels,et al.  EFFICIENCY OF LARGE DOUBLE AUCTIONS , 2003 .

[38]  Roger B. Myerson,et al.  Optimal Auction Design , 1981, Math. Oper. Res..

[39]  Richard Schmalensee,et al.  Failure to Launch: Critical Mass in Platform Businesses , 2010 .

[40]  Richard Arnott,et al.  Peer group effects and educational attainment , 1987 .

[41]  Jean-Charles Rochet,et al.  Nonlinear Pricing with Random Participation , 2002 .

[42]  G. Becker Chapter Title: a Theory of Marriage a Theory of Marriage , 2022 .

[43]  Danna Michelle Parker “DAMAGED GOODS” , 1943, The British journal of venereal diseases.

[44]  R. McAfee Amicable divorce: Dissolving a partnership with simple mechanisms , 1992 .

[45]  Steven R. Williams,et al.  The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large , 1989 .

[46]  Thomas A. Gresik,et al.  The rate at which a simple market converges to efficiency as the number of traders increases: An asymptotic result for optimal trading mechanisms , 1989 .

[47]  E. Maskin,et al.  Monopoly with Incomplete Information , 1984 .

[48]  Glenn Ellison,et al.  Knife-Edge or Plateau: When Do Market Models Tip? , 2003 .

[49]  Claudio Mezzetti,et al.  Mechanism Design with Interdependent Valuations: Surplus Extraction , 2007 .

[50]  Paul R. Milgrom,et al.  Matching with Contracts , 2005 .

[51]  R. McAfee,et al.  A dominant strategy double auction , 1992 .

[52]  E. Weyl,et al.  Imperfect Platform Competition: A General Framework , 2010 .

[53]  Paul R. Milgrom,et al.  A theory of auctions and competitive bidding , 1982 .