4.2 Article

Persuasive advertising under Bertrand competition: A differential game

Journal

OPERATIONS RESEARCH LETTERS
Volume 36, Issue 3, Pages 381-384

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.orl.2007.08.003

Keywords

advertising; differential games; oligopoly

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We investigate a linear state differential game of advertising, under Cournot and Bertrand competition. A unique saddlepoint equilibrium exists if the marginal cost of advertising is sufficiently low. Bertrand competition entails more intense advertising than Cournot competition, since increasing market size is more important to firms when competition is tough. (C) 2008 Published by Elsevier B.V.

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