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Markov Perfect Equilibrium Advertising Strategies of Lanchester Duopoly Model: A Technical Note

Ramla Jarrar, Guiomar Martín-Herrán, Georges Zaccour

Management Science · 2004 · Volume 50 · Issue 7

DOI: 10.1287/mnsc.1040.0249

Abstract

We propose a numerical approach to compute stationary Markov perfect Nash equilibrium advertising strategies of the Lanchester model. The algorithm can be implemented using a standard mathematical package, and, importantly, it does not require that the players discount their future earnings at a zero rate, an assumption that has been made in the literature.

Keywords

Lanchester model, advertising strategies, Markov perfect Nash equilibrium

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