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Simultaneous vs. Sequential Price Competition with Incomplete Information

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  • Leandro Arozamena
  • erico Weinschelbaum

Abstract

We compare the equilibria that result from sequential and simultaneous moves when two firms compete à la Bertrand in a homogeneous-good market. and firms’ unit costs are private information. Alternatively, our setup can be interpreted as a procurement auction with endogenous quantity where the buyer uses a first-price format if moves are simultaneous and she awards one bidder a right of first refusal if moves are sequential. We show that the first mover can be more or less aggressive in the sequential than it would be in a simultaneous game. In addition, in the case of sequential choices there is a second-mover advantage. Finally, we prove that, under some conditions, buyer and total surplus are larger when moves are simultaneous.

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Bibliographic Info

Paper provided by Universidad Torcuato Di Tella in its series Department of Economics Working Papers with number 2008_3.

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Length: 14 pages
Date of creation: Jan 2008
Date of revision:
Handle: RePEc:udt:wpecon:2008_3

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Web page: http://www.utdt.edu/ver_contenido.php?id_contenido=439&id_item_menu=568
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Related research

Keywords: oligopoly; auctions with endogenous quantity; right of first refusal; secondmover advantage.;

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References

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  1. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
  2. Arozamena, Leandro & Weinschelbaum, Federico, 2009. "The effect of corruption on bidding behavior in first-price auctions," European Economic Review, Elsevier, vol. 53(6), pages 645-657, August.
  3. Dastidar, Krishnendu Ghosh, 2004. "On Stackelberg games in a homogeneous product market," European Economic Review, Elsevier, vol. 48(3), pages 549-562, June.
  4. Lofaro, Andrea, 2002. "On the efficiency of Bertrand and Cournot competition under incomplete information," European Journal of Political Economy, Elsevier, vol. 18(3), pages 561-578, September.
  5. Rabah Amir & Anna Stepanova, 2000. "Second-Mover Advantage and Price Leadership in Bertrand Duopoly," CIE Discussion Papers 2000-10, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
  6. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
  7. Leandro Arozamena & Federico Weinschelbaum, 2006. "A note on the suboptimality of right-of-first-refusal clauses," Economics Bulletin, AccessEcon, vol. 4(24), pages 1-5.
  8. Damme, E.E.C. van & Hurkens, S., 1998. "Endogenous Stackelberg leadership," Open Access publications from Tilburg University urn:nbn:nl:ui:12-80496, Tilburg University.
  9. Bikhchandani Sushil & Lippman Steven A. & Ryan Reade, 2005. "On the Right-of-First-Refusal," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 5(1), pages 1-44, April.
  10. Hamilton, J.H. & Slutsky, S.M., 1988. "Endogenous Timing In Duopoly Games: Stackelberg Or Cournot Equilibria," Papers 88-4, Florida - College of Business Administration.
  11. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
  12. Grosskopf, Brit & Roth, Alvin E., 2009. "If You are Offered the Right of First Refusal, Should You Accept? An Investigation of Contract Design," Scholarly Articles 4261988, Harvard University Department of Economics.
  13. J. Riley & E. Maskin, 1981. "Optimal Auctions with Risk Averse Buyers," Working papers 311, Massachusetts Institute of Technology (MIT), Department of Economics.
  14. Bagwell, Kyle, 1995. "Commitment and observability in games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 271-280.
  15. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-53, October.
  16. Anderson, Simon P. & Engers, Maxim, 1992. "Stackelberg versus Cournot oligopoly equilibrium," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 127-135, March.
  17. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
  18. Robert G. Hansen, 1988. "Auctions with Endogenous Quantity," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 44-58, Spring.
  19. repec:ebl:ecbull:v:4:y:2006:i:24:p:1-5 is not listed on IDEAS
  20. Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer, vol. 26(2), pages 445-469, 08.
  21. Gal-Or, Esther, 1986. "Information Transmission-Cournot and Bertrand Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 85-92, January.
  22. Roberto Burguet & Martin K. Perry, 2003. "Preferred Suppliers and Vertical Integration in Auction Market," Working Papers 74, Barcelona Graduate School of Economics.
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Citations

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Cited by:
  1. Beladi, Hamid & Chakrabarti, Avik & Marjit, Sugata, 2010. "Sequential spatial competition in vertically related industries with different product varieties," Economics Letters, Elsevier, vol. 106(2), pages 112-114, February.
  2. Lagerlöf, Johan N. M., 2012. "Does Cost Uncertainty in the Bertrand Model Soften Competition?," CEPR Discussion Papers 8817, C.E.P.R. Discussion Papers.
  3. Beladi, Hamid & Chakrabarti, Avik & Marjit, Sugata, 2010. "Cross-border merger, vertical structure, and spatial competition," Economics Letters, Elsevier, vol. 109(2), pages 112-114, November.

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