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abstract

Menu pricing competition and a common agency with informed principals

Published:05 June 2011Publication History

ABSTRACT

We study a duopoly setting that consists of two capacity-constrained sellers and a single buyer. The capacity of each seller is her private information. The sellers simultaneously offer menus of quantity-price contracts to the buyer. Then the buyer chooses a set of contracts to maximize his own utility. We show that under certain natural conditions there exists a pure strategy equilibrium for the sellers which defines an efficient allocation. We study the effects of asymmetry of information, using the full information setting as a benchmark. We show that the revenue is higher when the capacities obtained by the sellers are private information.

References

  1. Itai Ashlagi, Dov Monderer, and Moshe Tennenholtz. Simultaneous ad auction. Mathematics of Operations Research, 2011. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Douglas Bernheim and Michael Whinston. Common agency. Econometrica, 54 (4): 923--42, July 1986.Google ScholarGoogle ScholarCross RefCross Ref
  3. Gérard Cachon and Gürhan Kök. Competing manufacturers in a retail supply chain: on contractual form and coordination. Management Science, 56 (3): 571--589, 2010. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Giacomo Calzolari and Carlo Scarpa. Delegated and intrinsic common agency with full market participation. Working Paper, 2008.Google ScholarGoogle Scholar
  5. Jon Feldman, Vahab S. Mirrokni, S. Muthukrishnan, and Mallesh M. Pai. Auctions with intermediaries: extended abstract. In Proceedings of 11th ACM Conference on Electronic Commerce (EC), pages 23--32, 2010. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Esther Gal-Or. Information transmission -- Cournot and Bertrand equilibria. Review of Economic Studies, 53 (1): 85--92, January 1986.Google ScholarGoogle ScholarCross RefCross Ref
  7. Sanford J Grossman. Nash equilibrium and the industrial organization of markets with large fixed costs. Econometrica, 49 (5): 1149--72, September 1981.Google ScholarGoogle ScholarCross RefCross Ref
  8. Oliver Hart. Imperfect competition in general equilibrium: An overview of recent work. Frontiers of Economics, edited by K. Arrow and S. Honkapohja, 1985.Google ScholarGoogle Scholar
  9. Paul D Klemperer and Margaret A Meyer. Supply function equilibria in oligopoly under uncertainty. Econometrica, 57 (6): 1243--77, November 1989.Google ScholarGoogle ScholarCross RefCross Ref
  10. Didier Laussel and Michel Le Breton. Conflict and Cooperation: The structure of equilibrium payoffs in common agency. Journal of Economic Theory, 100 (1): 93--128, September 2001.Google ScholarGoogle ScholarCross RefCross Ref
  11. David Martimort and Humberto Moreira. Common agency and public good provision under asymmetric information. Theoretical Economics, 2009.Google ScholarGoogle Scholar
  12. David Martimort and Lars Stole. The revelation and delegation principles in common agency games. Econometrica, 70 (4): 1659--1674, 2002.Google ScholarGoogle ScholarCross RefCross Ref
  13. David Martimort and Lars Stole. Market participation in delegated and intrinsic common-agency games. RAND Journal of Economics, 40 (1): 78--102, 2009.Google ScholarGoogle ScholarCross RefCross Ref
  14. Eric Maskin and Jean Tirole. The principal-agent relationship with an informed principal: The case of private values. Econometrica, 58 (2): 379--409, March 1990.Google ScholarGoogle ScholarCross RefCross Ref
  15. Timothy McGuire and Richard Staelin. An industry equilibrium analysis of downstream vertical integration. Marketing Science, 2: 161--191, 1983.Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. Paul Milgrom and Ilya Segal. Envelope theorems for arbitrary choice sets. Econometrica, 70 (2): 583--601, 2002.Google ScholarGoogle ScholarCross RefCross Ref
  17. Roger Myerson. Optimal auction design. Mathematics of Operations Research, 1981.Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. Malles Pai. Competing auctioneers. Working pape, 2010.Google ScholarGoogle Scholar
  19. Daniel F Spulber. Bertrand competition when rivals' costs are unknown. Journal of Industrial Economics, 43 (1): 1--11, March 1995.Google ScholarGoogle ScholarCross RefCross Ref
  20. Xavier Vives. Strategic supply function competition with private information. Technical report, 2008.Google ScholarGoogle Scholar

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  1. Menu pricing competition and a common agency with informed principals

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