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Analysis of Sales Promotion Effects on Household Purchase Behavior

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2.3.2.2 Operant C<strong>on</strong>diti<strong>on</strong>ing<br />

In operant c<strong>on</strong>diti<strong>on</strong>ing, current behavior is influenced by the c<strong>on</strong>sequences <str<strong>on</strong>g>of</str<strong>on</strong>g> previous<br />

behavior. The basic purport <str<strong>on</strong>g>of</str<strong>on</strong>g> operant c<strong>on</strong>diti<strong>on</strong>ing is that reinforced behavior is more<br />

likely to persist. A reinforcer is anything that occurs after a behavior and changed the<br />

likelihood that it will be emitted again. Once the reinforcement is stopped, the so-called<br />

extincti<strong>on</strong> effect might change behavior back to as it was before. Purchasing the brand is<br />

the behavior we want to teach c<strong>on</strong>sumers, and a promoti<strong>on</strong> could serve as the<br />

reinforcement (for example an in-pack coup<strong>on</strong>). The goal is to use promoti<strong>on</strong>s to build up<br />

purchase frequency, but to do this in a way so as to mitigate the extincti<strong>on</strong> effect (when the<br />

promoti<strong>on</strong> is withdrawn, we want the behavior to c<strong>on</strong>tinue).<br />

The distincti<strong>on</strong> between classical c<strong>on</strong>diti<strong>on</strong>ing and operant c<strong>on</strong>diti<strong>on</strong>ing can be<br />

understood most easily as a difference in sequence. In classical c<strong>on</strong>diti<strong>on</strong>ing, a stimulus<br />

occurs first, and a resp<strong>on</strong>se is elicited. Classical c<strong>on</strong>diti<strong>on</strong>ing can thus be called a stimulusresp<strong>on</strong>se<br />

theory. In operant c<strong>on</strong>diti<strong>on</strong>ing, the resp<strong>on</strong>se is first emitted and then reinforced.<br />

Operant c<strong>on</strong>diti<strong>on</strong>ing can thus be called a resp<strong>on</strong>se-reinforcement theory.<br />

An example <str<strong>on</strong>g>of</str<strong>on</strong>g> a model, which incorporates the idea <str<strong>on</strong>g>of</str<strong>on</strong>g> operant c<strong>on</strong>diti<strong>on</strong>ing, is<br />

the so-called linear learning model (e.g., Bush and Mosteller 1955, Wierenga 1974, Lilien<br />

1974, Leeflang and Bo<strong>on</strong>stra 1982). In this model, the probability Pn that some specific<br />

brand will be purchased <strong>on</strong> the n-th purchase occasi<strong>on</strong> depends linearly <strong>on</strong> the probability<br />

that it was purchased at the previous occasi<strong>on</strong> and <strong>on</strong> whether or not it was actually bought<br />

at that occasi<strong>on</strong>. That is, if we let In denote the indicator functi<strong>on</strong> that is 1 if the brand was<br />

purchased <strong>on</strong> occasi<strong>on</strong> n and 0 otherwise, Pn = α + β I n−<br />

1 + λ P , whereα , β , λ ≥ 0 and<br />

n−<br />

1<br />

(α +β +λ )≤ 1. Normally it is assumed that there is a positive learning effect (β >0). <str<strong>on</strong>g>Sales</str<strong>on</strong>g><br />

promoti<strong>on</strong>s can induce c<strong>on</strong>sumers to switch brands, which, according to the linear learning<br />

model, would lead to an increase in repeat purchase probability for that specific brand the<br />

c<strong>on</strong>sumers switched toward. But, it could also be the case that the β coefficient in this case<br />

is smaller than had the brand been purchased not <strong>on</strong> promoti<strong>on</strong>.<br />

A major c<strong>on</strong>cern associated with both the operant and classical c<strong>on</strong>diti<strong>on</strong>ing<br />

viewpoint is their explicit exclusi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> attitude and mental processes. Applying the<br />

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