We assume consumers are heterogeneous by their WTP for brands. As
we discussed in the data section, we estimate the empirical density
function of the underlying WTP based on the perceived WTP ranges using
the maximum entropy method. Assuming that the estimated density function
of WTP for brands of product category k is [MATHEMATICAL EXPRESSION NOT
REPRODUCIBLE IN ASCII], where [[bar.W].sub.k] and [[W.bar].sub.k] are
the upper and lower bound of [W.sup.*.sub.ik]. We assume a monopolistic
competitive market in a sense that brands are substitutes for generic
products to some extent. A firm produces a brand product with an extra
marginal cost c and charges an extra percentage [p.sub.k] relative to
the generic product. An individual consumer will buy the brand if and
only if [p.sub.k] [less than or equal to] [W.sup.*.sub.ik]. Hence, the
market share of this brand is
(12) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
This monopolistic firm will choose the optimal premium to maximize
profits,
(13) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
where N is the total number of consumers. The optimal premium is
achieved when the marginal revenue equals the marginal cost c:
(14) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
Equation (14) shows that a one-unit increase in [p.sub.k] will
increase the revenue by [p.sub.k], but at the marginal loss,
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], resulting from a
decrease in the demand. Solving equation (14) yields the optimal price
premium [p.sup.*.sub.k] Substituting [p.sup.*.sub.k] into equation (12)
yields the corresponding market share thereafter.
The simulation results show that the optimal price premiums for
brands in fresh produce actually are higher than brands of electronics,
clothing, and packaged food; however, the market shares of fresh produce
brands are much smaller. For example, when the extra cost of brand
products is 10%, the price premium for electronics, clothing, processed
food, and fresh fruits and vegetables are 29%, 37%, 39%, and 44%,
respectively; and 39%, 48%, 49%, and 59% when the extra marginal cost is
20%. However, the optimal market shares for brands of fresh produce are
much smaller than in other product categories. For example, when the
extra marginal cost is 10%, only 18% of the population will buy brand
products of fresh produce in contrast to 23% for packaged food, 30% for
clothing, and 50% for electronics. When the extra cost is 20%, 12% of
the population will buy brand products of fresh produce, 16% for
packaged food, 20% for clothing, and 30% for electronics. The small
market share can partly explain fewer brands of fresh fruits and
vegetables.
Once the optimal price premiums are established, we can identify
whether an individual consumer will buy brands of a certain product and
assess whether people are consistent with brand preferences across
product categories. This assessment will provide insight to store
organization and prediction of percentage of the population who will
shop in each of these stores. Assuming that the extra marginal cost of
brands is 10% relative to the generic one, almost half of the
respondents will always buy generic products and another 9.27% will only
buy brand products. In total, at least 58.94% of the potential consumers
are consistent in terms of their brand preferences for electronics,
clothing, packaged food, and fresh produce. We can at least identify
three types of stores: (a) discount stores that sell generic products
targeting half of the potential consumers, (b) elite stores that sell
only brand items and attract 9.27 % of the potential consumers, and (c)
supermarkets that sell everything. Our analysis suggests that elite
stores with brand products are attractive to the consumer segment
sharing consistent high brand preferences as well as WTP across product
categories. Harry and David is one example of a company that takes
advantage of the upper end of the distribution
(http://www.harryanddavid.com/).
Overall, the simulation results suggest two things: (a) if we
market brands of fruits and vegetables, we have to target a small market
segment and charge a high price; and (b) since we find that people who
are willing to pay for brands of fruits and vegetables are also willing
to pay for brands in other categories, our results suggest targeting
outlets that focus on brands of products in all categories, for example,
high-end malls, like sky malls, or brand-focused retailers, like
Macy's, Nordstrom, or Neiman Marcus.
Conclusions
The basic premise of this article is that brand value comes from
its contribution to reduction in quality risk, the prestige it confers,
and from superior design. The features for brand products are likely to
vary in value among products and be appreciated differently by
individuals with different sociodemographic characteristics. Based on
this premise, we hypothesize that the relative value of brands in fresh
produce is much smaller than in electronics, clothing, and packaged
food. We also investigate the roles of sociodemographic factors on the
WTP for brands.
Empirical results based on the data from College Station and Bryan,
Texas, on WTP for brands of four product categories support our
hypotheses. Tests on the mean difference of WTP across product
categories based on the stated WTP or the estimated WTP distribution
using the maximum entropy method suggest that WTP for brands in fresh
produce is much smaller than in electronics, clothing, and packaged
food. Using the random effect tobit model on the stated point WTP and
the ordered probit model on stated range of WTP, we also find similar
results that WTP for brands of fresh produce is least among four product
categories controlling for relevant demographic variations. The
empirical study also shows (a) the nonlinear effects of income and age
(income increases WTP at a diminishing rate and age decreases WTP at an
increasing rate); (b) females, less educated people, or smaller
households are willing to pay more for brands; and (c) white respondents
are less willing to pay for brands than other ethnic groups including
African Americans, Asians, and Hispanics.
Based on the distribution of WTP for each product, we determined
the optimal brand premium and the corresponding market share. The
simulations suggest a potential for a small market of brands of fresh
produce with a high margin relative to the generic products. Since
consumers with strong brand preferences in other product categories tend
to have a higher WTP for brands of produce, one strategy is to introduce
brands in outlets that emphasize brands across the board. Another is to
target market segments with consumers who are more likely to buy brands
regardless of product categories, like high-income individuals, young
people, and female shoppers.
The empirical results of this article are based on the stated
preferences and not actual behavior. In spite of the obvious limitation
of the data, it allowed us to compare preferences to brands in several
product categories and relate WTP with sociodemographic variables.
However, further empirical work with actual purchasing behavior is
needed to further study the role and potential of brands of fresh
produce.
Second, while we found WTP for brands of food products in general,
it is useful to assess WTP for subgroups (e.g., organic versus
nonorganic products), as well as different types of foods (vegetables
versus fruits). Further research should assess the value of brands of
organic food as well as the role of geographic indictor labeling as
substitutes and/or complements to brands.
[Received May 2006; accepted July 2007.]
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