Dynamics of Duopoly Models with Undecided Clients under Decentralized Affine Feedback Advertising Policies

Figure 1

A graph representation of client and firm interactions in a duopoly with advertising. (a) The nodes represent clients and firms and the dotted arrows (edges) represent advertising which cause transitions (solid arrows) between them and (b) Vidale–Wolfe model and (c) extended Lanchester model, showing only transitions between client sets (refer to equations (7) and (11)). The extensions made to the original models are highlighted in blue.

(a)

(b)

(c)