Closed-loop (perfect) equilibria in a Lanchester duopoly differential game of advertising competition are used as the …-Cola, a formal statistical testing procedure is used to detect whether closed-loop equilibrium advertising strategies are used … general model is estimated. Results indicate that closed-loop equilibria better explain dynamic advertising competition than …

in a single framework the econometric estimation of the market response function and the technique of differential games …The equilibrium profit-maximizing advertising policies of firms operating in a dynamic duopoly are derived by linking … that capture the competitive shifts due to investments in advertising by the two market rivals. We determine the …

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 … a backward differential equation and a set of two nonlinear differential equations for an initial value problem. The …

others, the selection of Nash equilibria in noncooperative games, the existence of solutions for stochastic games and the … them today. Along with about 80 articles, Mertens's topics go from the formulation of Bayesian decision making in games … extension of the Shapley value in cooperative games with infinitely many negligible agents. …