Using the Lanchester model to describe the dynamics of the market where two firms compete for customers by advertising, we solve the problem of determining an optimal advertising strategy for maximum discounted profits. We develop both open- and closed-loop strategies and explain the...

This study extends the time-variant closed-loop strategy of Fruchter and Kalish (1997) to the n-player advertising game. We demonstrate that solving an n-player game using 2 players results in overadvertising.