10.1177/0092070304267108 ARTICLE JOURNAL OF THE ACADEMY OF MARKETING SCIENCE WINTER 2005 Fibich et al. / PRICE ELASTICITY OF DEMAND
The Dynamics of Price Elasticity
of Demand in the Presence of
Reference Price Effects
Gadi Fibich
Tel Aviv University
Arieh Gavious
Oded Lowengart
Ben Gurion University
The authors derive an expression for the price elasticity of
demand in the presence of reference price effects that in-
cludes a component resulting from the presence of gains
and losses in consumer evaluations. The effect of reference
price is most noticeable immediately after a price change,
before consumers have had time to adjust their reference
price. As a result, immediate-term price elasticity is higher
than long-term elasticity, which describes the response
of demand long after a price change, when reference price
effects are negligible. Furthermore, because of the differ-
ential effect of gains and losses, immediate-term
price elasticity for price increases and price decreases is
not equal. The authors provide a quantitative definition
for the terms immediate term and long term, using the av-
erage interpurchase time and the discrete “memory” pa-
rameter. Practical consequences of the distinction
between immediate- and long-term elasticities for the esti-
mation and use of elasticity values are discussed.
Keywords: Reference price; price elasticity; immediate
term; promotional elasticity
1. INTRODUCTION
Price elasticity of demand is the percentage change in
quantity demanded as a result of a 1 percent change in
price. It is defined as
ε= =
dQ
Q
dp
p
dQ
dp
p
Q
,
(1)
where p is price and Q(p) is market demand. Numerous
factors can affect the price elasticity of demand, including
closeness of substitute products, importance of the good in
terms of expenditure, time for adjustment, product dura-
bility, and range of uses. In this study, we explore the effect
of reference price on the price elasticity of demand, an
effect that has not been considered previously. Specifi-
cally, we examine the dynamics of price elasticity that
result from changes in quantity demanded over time.
Under this framework, changes in demand occur once
there is a price change, and deviations between this new
price and consumers’ reference price occur. Consumers’
reference price adjustments, a process that evolves over
time, yield changes in these price deviations. The impact
of these changes is reflected in the time dependence of
quantity demanded that creates the dynamics of price
elasticity.
Changes in price elasticity of demand over time have
been investigated before in the marketing literature. Such
studies, however, were mainly concerned with the changes
Journal of the Academy of Marketing Science.
Volume 33, No. 1, pages 66-78.
DOI: 10.1177/0092070304267108
Copyright © 2005 by Academy of Marketing Science.