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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>How to Survive Dynamic Pricing Competition in E-commerce</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Rainer Schlosser</string-name>
          <email>rainer.schlosser@hpi.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Martin Boissier</string-name>
          <email>martin.boissier@hpi.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andre Schober</string-name>
          <email>andre.schober@adanbo.de</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Matthias Uflacker</string-name>
          <email>acker@hpi.de</email>
          <email>matthias.uflacker@hpi.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Hasso Plattner Institute</institution>
          ,
          <addr-line>Potsdam</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>adanbo GmbH</institution>
          ,
          <addr-line>Berlin</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Pricing on e-commerce platforms is highly challenging. Sellers typically i) rival against dozens of competitors, ii) decide on prices for thousands of products, and iii) face steadily changing market situations. With respect to pricing, the challenge is to circumvent the curse of dimensionality to dynamically price products for a given market situation in a timely manner. In this project, we create a stochastic pricing model by analyzing recorded market data. This pricing model can be applied ad-hoc in less than a millisecond per item, allowing us to react immediately to new market situations. Our pricing approach is currently being applied in practice by a large German book seller on Amazon and outperforms the previous rule-based strategy by over 20% with respect to cash-in per book.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>CHALLENGE</title>
      <p>Modern market platforms such as Amazon Marketplace
or eBay are highly dynamic as sellers can observe the
current market situation at any time and adjust their prices
instantly. For sellers that handle large inventories, this
dynamic is hard to manage as an optimal pricing decision
requires handling a multitude of dimensions for each
competitor (e.g., price, quality, shipping time, shipping costs,
rating). Moreover, nancial aspects such as discounting as well
as inventory holding costs have to be taken into account.</p>
      <p>In this project, we partner with adanbo GmbH. adanbo
is among the top 10 sellers for used books on Amazon in
Germany with an inventory of over 80,000 distinct books
(ISBN), each with multiple items (1-20). Our seller can
decide { to some extent { on the replenishment of used books
(by choosing purchase prices). However, supply is limited
and it is not possible to directly reorder speci c books.
Hence, the challenge is to extract as much pro t as
posCopyright is held by the author(s).
sible from a given number of books (inventory level) in a
reasonable amount of time.</p>
      <p>The pricing strategy of our project partner is
characterized by a rule-based system that has been developed over
the past years by carefully adjusting rules to lessons learned
from selling books on Amazon. As our project partner has
more than 10 years of experience in the market, we consider
his strategy to be e ective and accurate. However, market
dynamics are increasingly sophisticated making rule-based
strategies increasingly hard to handle and maintain.</p>
      <p>Our goal is to develop a pricing strategy that maximizes
expected discounted long-term pro ts while taking into
account the constraints mentioned above. We seek to compute
data-driven pricing strategies that are applicable even for
large inventories.
2.</p>
    </sec>
    <sec id="sec-2">
      <title>DATA-DRIVEN PRICING MODEL</title>
      <p>
        The project is devoted to revenue management [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and
combines theory of dynamic pricing research and its
practical application [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]. To be able to set up a dynamic model
in order to compute optimized prices, we need to estimate
sales probabilities. We use logistic regression analyses to
quantify how o er prices and speci c market situations
affect sales. We consider up to 10 o er dimensions (e.g., price,
quality, ratings, feedback count, shipping time) per
competitor for a particular market situation.
      </p>
      <p>&lt;&lt; table &gt;&gt;</p>
      <p>ORDER
sku varchar
sold_date datetime
price decimal
0..1
&lt;&lt; table &gt;&gt;</p>
      <p>OFFER
isbn10 varchar
item_condition varchar
item_subcondition varchar
shipping_time varchar
feedback_rating varchar
…
offer_date datetime</p>
      <p>*
1..*
&lt;&lt; table &gt;&gt;</p>
      <p>STOCK
sku varchar
isbn10 varchar
in_date datetime
out_date datetime
1 quality int
&lt;&lt; table &gt;&gt;</p>
      <p>PRICE
sku varchar
price decimal
upd_date datetime
1
1..*
The data set that we use for the regression analysis
conDevelopment of a Data-Driven Dynamic Pricing Model
Application of Dynamic Pricing Strategies
Our
Of ers</p>
      <p>Self-correction via feedback loop of new observations (based on the applied strategy).
tains both the requested market situations from Amazon as
well as adanbo's own data (o ers, sales, and inventory; see
diagram in Fig. 1). Adanbo requests market situations for
each o ered book every two hours (i.e., &gt;20 M market
situations per month which result in &gt;140 M single competitor
observations per month). We join this data on the y with
adanbo's price updates, placed orders, and stock data to
create the required observations and the corresponding
features. Working directly on the raw time-series data provides
us with more exibility, e.g., when regressing only a
subset of comparable market situations. We use 30 customized
features, e.g., the price rank of our o er price within the
competitors' prices. The dependent variable is the number
of realized sales of a certain book in a certain time interval.
As a result, we are able to predict sales probabilities for any
o er price and for any market situation.</p>
      <p>Based on estimated (conditional) sales probabilities, we
set up and calibrated a suitable dynamic model. Using e
cient solution techniques, we are able to compute optimized
prices for current market situations. The application of our
dynamic pricing strategy works as follows: First, we observe
current market situations for our products, we then
calculate optimized prices according to the model, and nally
adjust prices on the market platform (see right-hand side of
Fig. 2). This procedure is repeated every two hours or in
case of changing market situations. This way our strategy is
able to respond immediately to new situations as prices can
be adjusted in milliseconds. Moreover, the new incoming
sales observations are used to further improve the strategy
by estimatinCgomdepmariasonndomfavogr.epraiccecpuerrastaelelyo,vesreteimFei:g. 2.</p>
      <p>Data-Driven vs. Adanbo's Strategy
) 1.8
irven )nob1.6
-d a
taad (dA1.4
(e la</p>
      <p>e
lrsa rse1.2
e p
icep irce1.0
rp .gp
.vag va€0.8
€ 0.6
cash-in increase
approx. 20%</p>
      <p>adanbo's strategy
data-driven strategy</p>
    </sec>
    <sec id="sec-3">
      <title>3. RESULTS</title>
      <p>Our data-driven approach is currently applied by our
project partner adanbo. We compare our strategy with adanbo's
established rule-based strategy for two similar test groups of
books (see Table 1). The data-driven strategy sells less
aggressive and more pro table. Fig. 3 shows the ratio of the
average prices per sale over time. Around two weeks
after the begin of the comparison, the advantage of the
datadriven strategy averages around a cash-in increase per book
by approximately 20 percent.</p>
      <p>Note, the model's discount factor allows to control the
strategy's aggressiveness and in turn the speed of sales. As
a next step, we'd like to evaluate di erent levels of
aggressiveness and their impact on pro tability.</p>
    </sec>
    <sec id="sec-4">
      <title>4. CONCLUSION</title>
      <p>We presented a data-driven pricing approach for
competitive sales applications. With our strategy applied,
profits can be signi cantly increased. Moreover, by using the
model's discount factor as a management instrument the
seller is able to smoothly balance pro ts, revenues, and the
speed of sales.</p>
    </sec>
  </body>
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