Diffusion of Products with Limited Supply and Known Expiration Date

In this paper, we provide a model for diffusion of products, which are available in limited quantity until a known expiration date, after which the unsold products have no value. We consider the case of a performing arts company. The model development is built on the foundation of classical product diffusion model by Bass (1969) and the psychological effect known as the scarcity principle (Cialdini, 1985). Our empirical analysis results show that the proposed model can provide significant improvement in prediction of the products characterized by the scarcity effect.

[1]  Charles B. Weinberg,et al.  Arts Plan: Implementation, Evolution, and Usage , 1986 .

[2]  V. Mahajan,et al.  Innovation Diffusion in the Presence of Supply Restrictions , 1991 .

[3]  S. Kalish.  A New Product Adoption Model with Price, Advertising, and Uncertainty , 1985 .

[4]  Marvin Mudrick,et al.  Here They Are , 1972 .

[5]  Michael Lynn,et al.  Scarcity effects on desirability: mediated by assumed expensiveness? , 1989 .

[6]  F. Bass.  A new product growth model for consumer durables , 1976 .

[7]  Stephen Worchel,et al.  Effects of Supply and Demand on Ratings of Object Value , 1975 .

[8]  Peter Paul Belobaba,et al.  Air travel demand and airline seat inventory management , 1987 .

[9]  Robert Folger,et al.  On Wanting What We Do Not Have , 1992 .

[10]  J. M. Jones,et al.  Incorporating distribution into new product diffusion models , 1991 .

[11]  J. Inman,et al.  Framing the Deal: The Role of Restrictions in Accentuating Deal Value , 1997 .

[12]  Jeffrey I. McGill,et al.  Allocation of Airline Seats between Stochastically Dependent Demands , 1990, Transp. Sci..

[13]  M. Lynn.  Scarcity effects on value: A quantitative review of the commodity theory literature , 1991 .

[14]  H. Robben,et al.  Scarcity and preference: an experiment on unavailability and product evaluation , 1994 .

[15]  Greg J. Lessne,et al.  The effect of limits in retail advertisements: A reactance theory perspective , 1988 .

[16]  Theo M.M. Verhallen,et al.  Unavailability and the evaluation of goods , 1995 .

[17]  R. Cialdini.  Influence: Science and Practice , 1984 .

[18]  Charles B. Weinberg,et al.  ARTS PLAN: A Model Based System for Use in Planning a Performing Arts Series , 1978 .

[19]  Theo M.M. Verhallen,et al.  Scarcity and consumer choice behavior , 1982 .

[20]  H. Fromkin.  Effects of experimentally aroused feelings of undistinctiveness upon valuation of scarce and novel experiences. , 1970, Journal of personality and social psychology.

[21]  Leonard M. Lodish,et al.  Applied Dynamic Pricing and Production Models with Specific Application to Broadcast Spot Pricing , 1980 .

[22]  I. Simonson,et al.  THE INFLUENCE OF ANTICIPATING REGRET AND RESPONSIBILITY ON PURCHASE DECISIONS , 1992 .

[23]  V. Mahajan,et al.  Introduction Strategy for New Products with Positive and Negative Word-of-Mouth , 1984 .

[24]  P. Kotler.  Marketing Management: The Millennium Edition , 1999 .

[25]  J. Brehm.  A theory of psychological reactance. , 1981 .

[26]  E. Rogers.  Diffusion of Innovations , 1962 .

[27]  Bruce R. Robinson,et al.  Dynamic Price Models for New-Product Planning , 1975 .

[28]  Norbert Schwarz,et al.  When reactance effects persist despite restoration of freedom: Investigations of time delay and vicarious control , 1984 .

[29]  Michael Lynn,et al.  Scarcity's Enhancement of Desirability: The Role of Naive Economic Theories , 1992 .