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A new look at the classical Bertrand duopoly
Journal article   Peer reviewed

A new look at the classical Bertrand duopoly

Rabah Amir and Igor V. Evstigneev
Games and economic behavior, Vol.109, pp.99-103
05/01/2018
DOI: 10.1016/j.geb.2017.12.010
url
https://www.research.manchester.ac.uk/portal/en/publications/a-new-look-at-the-classical-bertrand-duopoly(4e859416-6d6e-4caf-aa15-a08040ff4bd1).htmlView
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Abstract

The paper provides necessary and sufficient conditions for the uniqueness of pure-strategy Nash equilibrium in the standard Bertrand duopoly with a homogeneous product. The main condition is elementary, easy to interpret, and nests all known sufficient conditions in the literature.
Non-monotonic demand Price competition Uniqueness of Nash equilibrium Weakly dominated strategy

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