Advertisement

Price-Setting Dynamical Duopoly with Incomplete Information

  • Fernanda A. FerreiraEmail author
  • Flávio Ferreira
  • Alberto A. Pinto
Chapter

Abstract

We consider a price competition in a duopoly with substitutable goods, linear and symmetric demand. There is a firm (F 1) that chooses first the price p 1 of its good; the other firm (F 2) observes p 1 and then chooses the price p 2 of its good. The conclusions of this price-setting dynamical duopoly are substantially altered by the presence of either differentiated goods or asymmetric information about rival’s production costs.

In this paper, we consider asymmetric information about rival’s production costs. We do ex-ante and ex-post analyses of firms’ profits and market prices. We compare the ex-ante firms’ expected profits with the ex-post firms’ profits.

Keywords

Game theory Industrial organization Optimization Uncertainty 

Notes

Acknowledgements

We thank the Programs POCTI and POCI by FCT and Ministério da Ciência, Tecnologia e do Ensino Superior for their financial support. F.A. Ferreira and F. Ferreira gratefully acknowledge financial support from ESEIG/IPP and from Centro de Matemática da Universidade do Porto. A.A. Pinto also acknowledges financial support from Centro de Matemática da Universidade do Minho.

References

  1. 1.
    R. Amir, A. Stepanova, Second-mover advantage and price leadership in Bertrand duopoly. Games Econ. Behav. 55, 1–20 (2006) MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    J. Bertrand, Théorie mathématiques de la richesse sociale. J. Savants 68, 303–317 (1883) Google Scholar
  3. 3.
    E. van Damme, S. Hurkens, Endogenous price leadership. Games Econ. Behav. 47, 404–420 (2004) zbMATHCrossRefGoogle Scholar
  4. 4.
    F.A Ferreira, F. Ferreira, A.A. Pinto, Bayesian price leadership, in Mathematical Methods in Engineering, ed. by Kenan Tas et al. (Springer, Dordrecht, 2007), pp. 371–379 CrossRefGoogle Scholar
  5. 5.
    F.A Ferreira, F. Ferreira, A.A. Pinto, Unknown costs in a duopoly with differentiated products, in Mathematical Methods in Engineering., ed. by Kenan Tas et al. (Springer, Dordrecht, 2007), pp. 359–369 CrossRefGoogle Scholar
  6. 6.
    F.A Ferreira, F. Ferreira, A.A. Pinto, Price leadership competition under uncertainty (2009, in preparation) Google Scholar
  7. 7.
    E. Gal-Or, First mover and second mover advantages. Int. Econ. Rev. 26, 649–653 (1985) zbMATHCrossRefGoogle Scholar
  8. 8.
    J. Tirole, The Theory of Industrial Organization (MIT Press, Cambridge, 1994) Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Fernanda A. Ferreira
    • 1
    Email author
  • Flávio Ferreira
    • 1
  • Alberto A. Pinto
    • 2
  1. 1.ESEIGInstituto Politécnico do PortoVila do CondePortugal
  2. 2.Departamento de MatemáticaUniversidade do MinhoBragaPortugal

Personalised recommendations