Linear convergence of tatônnement in a bertrand oligopoly

  • Authors:
  • Guillermo Gallego;Woonghee Tim Huh;Wanmo Kang;Robert Phillips

  • Affiliations:
  • Columbia University, New York;Columbia University, New York;Columbia University, New York;Stanford University and Nomis Solutions

  • Venue:
  • ICCSA'06 Proceedings of the 2006 international conference on Computational Science and Its Applications - Volume Part III
  • Year:
  • 2006

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Abstract

We show the linear convergence of the tatônnement scheme in a Bertrand oligopoly price competition game using a possibly asymmetric attraction demand model with convex costs. To demonstrate this, we also show the existence of the equilibrium.