Arbeitspapier

Product Pricing when Demand Follows a Rule of Thumb

We analyze the strategic behavior of firms when demand is determined by a rule of thumb behavior of consumers. We assume consumer dynamics where individual consumers follow simple behavioral decision rules governed by imitation and habit as suggested in consumer research. On this basis, we investigate monopoly and competition between firms, described via an open-loop differential game which in this setting is equivalent to but analytically more convenient than a closed-loop system. We derive a Nash equilibrium and examine the influence of advertising. We show for the monopoly case that a reduction of the space of all price paths in time to the space of time-constant prices is sensible since the latter in general contains Nash equilibria. We prove that the equilibrium price of the weakest active firm tends to marginal cost as the number of (non-identical) firms grows. Our model is consistent with observed market behavior such as product life cycles.

Language
Englisch

Bibliographic citation
Series: Bonn Econ Discussion Papers ; No. 3/2009

Classification
Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Existence and Stability Conditions of Equilibrium
Game Theory and Bargaining Theory: Other
Production, Pricing, and Market Structure; Size Distribution of Firms
Business Objectives of the Firm
Marketing
Advertising
Subject
Bounded rationality
social learning
population game
differential game
product life cycle
monopoly
competition
pricing
advertising
Preistheorie
Marktstruktur
Wettbewerb
Betriebliche Preispolitik
Werbung
Spieltheorie
Produktlebenszyklus
Konsumtheorie
Beschränkte Rationalität
Lernprozess
Theorie

Event
Geistige Schöpfung
(who)
Matzke, Christina
Wirth, Benedikt
Event
Veröffentlichung
(who)
University of Bonn, Bonn Graduate School of Economics (BGSE)
(where)
Bonn
(when)
2009

Handle
Last update
10.03.2025, 11:44 AM CET

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Object type

  • Arbeitspapier

Associated

  • Matzke, Christina
  • Wirth, Benedikt
  • University of Bonn, Bonn Graduate School of Economics (BGSE)

Time of origin

  • 2009

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