Article ID Journal Published Year Pages File Type
480612 European Journal of Operational Research 2012 8 Pages PDF
Abstract

Two manufacturers produce substitutable goods for a homogeneous market. The advertising efforts of the two manufacturers determine the demand for the goods and interfere negatively with each other. The demand of each good is a piecewise linear function of the product goodwill, and the latter is a linear function of advertising efforts. In a game with two competing profit-maximizing manufacturers who have access to a set of several advertising media, the pure-strategy Nash equilibria are characterized and their existence is shown.

► We model two competing manufacturers who provide a market with substitutable goods. ► Advertising efforts determine demand and interfere negatively with each other. ► A two-player continuous game with non-smooth payoff functions. ► We characterize and prove existence of pure-strategy Nash equilibria of game. ► Each manufacturer uses only one advertising medium in equilibrium.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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