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Article
The Discretization of Continuum Strategy Spaces
International Game Theory Review (2006)
  • Carlos Alós-Ferrer, University of Konstanz
Abstract

When the strategy set of a game is a continuum, its discretization may not conserve local properties even for arbitrarily fine strategy grids. Two technical lemmas are proven to solve the problem, one relying on differentiability properties and another for higher dimensions formulated for open-graph correspondences. Four applications are shown, regarding the discretization of Cournot and Bertrand settings, a consumer optimization problem, and an insurance market.

Keywords
  • Discretization,
  • Continuum strategy spaces
Disciplines
Publication Date
2006
Citation Information
Carlos Alós-Ferrer. "The Discretization of Continuum Strategy Spaces" International Game Theory Review Vol. 8 Iss. 3 (2006)
Available at: http://works.bepress.com/alos/12/