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Second-Mover Advantage and Price Leadership in Bertrand Duopoly

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Author Info
Rabah Amir (University of Southern Denmark, Odense)
Anna Stepanova (University of Southern Denmark, Odense)

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Abstract

We consider the issues of endogenous timing and first versus second-mover advantage in differentiated-product Bertrand duopoly with asymmetric linear costs. First, we provide a thorough set of results in the cases where prices are either strategic substitutes and/or complements, dispensing with some common extraneous assumptions. Second, with linear demand for substitute goods, the scope for second-mover advantage crucially depends on the unit cost difference. A natural endogenous timing scheme coupled with equilibrium selection according to risk-dominance yields a unique outcome with the low-cost firm as leader.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics. Centre for Industrial Economics in its series CIE Discussion Papers with number 2000-10.

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Length: 25 pages
Date of creation: Dec 2000
Date of revision:
Handle: RePEc:kud:kuieci:2000-10

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Related research
Keywords: price competition; endogenous timing; second-mover advantage; risk dominance;

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Find related papers by JEL classification:
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
    Other versions:
  3. Mailath George J., 1993. "Endogenous Sequencing of Firm Decisions," Journal of Economic Theory, Elsevier, vol. 59(1), pages 169-182, February. [Downloadable!] (restricted)
  4. Daughety, Andrew F & Reinganum, Jennifer F, 1994. "Asymmetric Information Acquisition and Behavior in Role Choice Models: An Endogenously Generated Signaling Game," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(4), pages 795-819, November. [Downloadable!] (restricted)
  5. Deneckere, Raymond J & Kovenock, Dan, 1992. "Price Leadership," Review of Economic Studies, Blackwell Publishing, vol. 59(1), pages 143-62, January. [Downloadable!] (restricted)
    Other versions:
    • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  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. [Downloadable!] (restricted)
  7. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January. [Downloadable!] (restricted)
    Other versions:
  8. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June. [Downloadable!] (restricted)
  9. Ivan Pastine & Tuvana Pastine, 2000. "On Endogenous Leadership in Price Competition," Departmental Working Papers 0009, Bilkent University, Department of Economics.
  10. 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. [Downloadable!] (restricted)
  11. Cooper, Russell, et al, 1990. "Selection Criteria in Coordination Games: Some Experimental Results," American Economic Review, American Economic Association, vol. 80(1), pages 218-33, March. [Downloadable!] (restricted)
  12. Robson, Arthur J, 1990. "Duopoly with Endogenous Strategic Timing: Stackelberg Regained," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 263-74, May. [Downloadable!] (restricted)
  13. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January. [Downloadable!] (restricted)
  14. Rosenthal, Robert W., 1991. "A note on robustness of equilibria with respect to commitment opportunities," Games and Economic Behavior, Elsevier, vol. 3(2), pages 237-243, May. [Downloadable!] (restricted)
  15. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321. [Downloadable!] (restricted)
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  16. Cabrales, Antonio & Garcia-Fontes, Walter & Motta, Massimo, 2000. "Risk dominance selects the leader: An experimental analysis," International Journal of Industrial Organization, Elsevier, vol. 18(1), pages 137-162, January. [Downloadable!] (restricted)
    Other versions:
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Michael Kopel & Clemens Löffler, 2008. "Commitment, first-mover-, and second-mover advantage," Journal of Economics, Springer, vol. 94(2), pages 143-166, July. [Downloadable!] (restricted)
  2. Giuseppe De Feo & Carlo Capuano, 2009. "On Public Inefficiencies in a Mixed Duopoly," Working Papers 09-16, University of Strathclyde Business School, Department of Economics. [Downloadable!]
  3. Toshihiro Matsumura & Akira Ogawa, 2009. "Payoff dominance and risk dominance in the observable delay game: a note," Journal of Economics, Springer, vol. 97(3), pages 265-272, July. [Downloadable!] (restricted)
  4. Diego Lanzi & Massimiliano Marzo, 2005. "Content Delivery and Vertical Integration in On-line Content Markets," Review of Network Economics, Concept Economics, vol. 4(1), pages 63-74, March. [Downloadable!]
  5. Leandro Arozamena & erico Weinschelbaum, 2008. "Simultaneous vs. Sequential Price Competition with Incomplete Information," Department of Economics Working Papers 2008_3, Universidad Torcuato Di Tella. [Downloadable!]
    Other versions:
  6. Kobayashi, Hajime & Suehiro, Hideo, 2008. "Leadership by Confidence in Teams," MPRA Paper 10717, University Library of Munich, Germany. [Downloadable!]
  7. TESORIERE, Antonio, 2006. "Endogenous timing with free entry," CORE Discussion Papers 2006093, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
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