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Simultaneous vs. Sequential Price Competition with Incomplete Information

  • Leandro Arozamena
  • erico Weinschelbaum

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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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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  1. 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.
  2. Bagwell, Kyle, 1995. "Commitment and observability in games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 271-280.
  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. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
  5. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
  6. Amir, Rabah & Stepanova, Anna, 2006. "Second-mover advantage and price leadership in Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 55(1), pages 1-20, April.
  7. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
  8. Eric van Damme & Sjaak Hurkens, 1996. "Endogenous Stackelberg leadership," Economics Working Papers 190, Department of Economics and Business, Universitat Pompeu Fabra.
  9. Bagnoli, M. & Bergstrom, T., 1989. "Log-Concave Probability And Its Applications," Papers 89-23, Michigan - Center for Research on Economic & Social Theory.
  10. Federico Weinschelbaum & Leandro Arozamena, 2005. "The Effect of Corruption on Bidding Behavior in First-Price Auctions," Working Papers 82, Universidad de San Andres, Departamento de Economia, revised Aug 2005.
  11. Gal-Or, Esther, 1986. "Information Transmission-Cournot and Bertrand Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 85-92, January.
  12. 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.
  13. 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.
  14. Roberto Burguet & Martin K. Perry, 2003. "Preferred Suppliers and Vertical Integration in Auction Market," Working Papers 74, Barcelona Graduate School of Economics.
  15. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February.
  16. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
  17. Brit Grosskopf & Alvin E. Roth, 2006. "If you are offered the Right of First Refusal, Should you accept? An Investigation of Contract Design," Levine's Bibliography 122247000000001017, UCLA Department of Economics.
  18. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
  19. Robert G. Hansen, 1988. "Auctions with Endogenous Quantity," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 44-58, Spring.
  20. Anderson, Simon P. & Engers, Maxim, 1992. "Stackelberg versus Cournot oligopoly equilibrium," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 127-135, March.
  21. 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.
  22. repec:ebl:ecbull:v:4:y:2006:i:24:p:1-5 is not listed on IDEAS
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