A Bilinear-Quadratic Differential Game in Advertising.

Abstract

A dopolistic extension of the Vidale-Wolfe advertising model is formulated as a problem in differential games. An important feature of the problem is the presence of reaction terms driven by the difference in the advertising expenditures of the two duopolistic firms under consideration. Formula for the Nash Turnpike is derived using the maximum principle. Several competitive encounters with different parameters of the model are numerically solved. Tentative conclusions are drawn by analyzing these results. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA057429

Entities

People

  • Gerald L. Thompson
  • K. Deal
  • S. P. Sethi

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Competition
  • Differential Equations
  • Equations
  • Equations Of State
  • Experimental Design
  • Marketing
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Pennsylvania
  • Schools
  • Steady State
  • Terminals
  • Universities

Readers

  • Game Theory.
  • Industrial Economics
  • Theoretical Analysis.