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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>An Online Experiment of a Price-Based Re-Rank Algorithm</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Emanuele Cavenaghi</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lorenzo Camaione</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Paolo Minasi</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Gabriele Sottocornola</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Fabio Stella</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Markus Zanker</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Bravonext SA t/a lastminute.com</institution>
          ,
          <addr-line>Chiasso</addr-line>
          ,
          <country country="CH">Switzerland</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Free University of Bozen-Bolzano</institution>
          ,
          <addr-line>Bolzano</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>University of Klagenfurt</institution>
          ,
          <country country="AT">Austria</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>University of Milano-Bicocca</institution>
          ,
          <addr-line>Milano</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Recommender Systems were created to support users in situations of information overload. However, users are consciously or unconsciously influenced by many factors in their decision making. In this paper, we focused our attention on the influence of price in user decision-making in the context of online hotel search and booking. First, we analyzed a historical dataset from a meta-search booking platform to evaluate the influence of diferent factors on user click behavior. Then, we performed an online A/B test on the same meta-search booking platform, in which we compared the current policy with a price-based re-rank policy. Our experiments suggested that, although in ofline observations properties with lower prices tended to have a higher Click-Through Rate, in an online context a price-based re-rank was only suficient to achieve an improvement in Click-Through Rate for the first position on the recommended list.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Recommender Systems</kwd>
        <kwd>Learning to rank</kwd>
        <kwd>Tourism</kwd>
        <kwd>Meta-search Booking Platform</kwd>
        <kwd>Online Hotel Search</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Recommender Systems (RSs) are algorithms developed for helping users to find items of interest.
The massive volume of information available on the web leads to the problem of information
overload and, thus, increases the need for delivering efective and timely recommendations.
The main idea behind these methods is to know users’ interests, based on their feedback on past
interactions with items in order to recommend new unseen items matching their preferences.</p>
      <p>
        RSs are extensively applied in the E-Tourism domains [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ] to recommend destinations/travel
packages [
        <xref ref-type="bibr" rid="ref3 ref4 ref5">3, 4, 5</xref>
        ], points of interest [
        <xref ref-type="bibr" rid="ref6">6, 7, 8</xref>
        ] or restaurants [9, 10]. In the context of recommending
appropriate accommodations to travellers it is fundamental to exploit both contextual features
(such as season and place) as well as user’s preferences. In the last years, many RSs were
developed in order to recommend hotels in the context of online booking. Some approaches
were based on traditional RSs techniques such as Collaborative Filtering [11], like [12, 13, 14]
also considering multi-criteria ratings [15], and Content-Based approaches [16], like [17, 18].
Instead, other works proposed domain-specific approaches. For example, Levi et al. [19] used
text reviews as the main source of information to make recommendations, [20] built specific
topic models from textual reviews and Lin et al.[21] designed an app where users can search
and browse hotel reviews.
      </p>
      <p>This work aims to find answers to the following research questions in the context of Online
Hotel Search:
• Do ofered tourism properties1 with lower prices in recommendation lists have a higher</p>
      <p>Click-Through Rate (CTR)?
• Is a price-based re-rank of these ofered properties suficient to achieve a higher CTR?
• Does the Online Travel Agency (OTA)2 associated with ofered properties influence the</p>
      <p>CTR?</p>
      <p>To answer these questions, firstly, we analysed historical data. Specifically, our dataset was
collected on a meta-search booking platform that compares the prices of ofered properties from
diferent OTAs. Then, to answer the second and the third research questions, we ran an A/B
test to compare the RS used by the company with a re-rank algorithm based on price. In both,
the historical dataset and the A/B test, the company had no information about the anonymous
users and their history of previous interactions with the site. Moreover, there was no explicit
feedback (e.g., user ratings specific to properties), but we had to rely on implicit feedback, in
our case user clicks.</p>
      <p>This paper is organized as follows, in Section 2, we report a brief discussion on the historical
dataset. Then, in Section 3, we describe a simple re-rank algorithm based on relative prices,
and, in Section 4, we present the results of the A/B test. Finally, in Section 5, we investigate the
influence of the OTA on the results of the A/B test.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Dataset Description</title>
      <p>In this section, we report the results of our data analysis to provide an answer to the first research
question: “Do ofered tourism properties with lower prices in recommendation lists have a higher
CTR?”. The dataset consists of roughly 130, 000 recommended lists, each composed by 25
properties showed on the same page, collected on a meta-search booking platform in the period
between Nov 2021 - Apr 2022 on searches made on 14 Italian cities. In each recommended list,
each property can be presented with a diferent OTA. As a result, a property can be presented
with diferent OTAs in diferent lists and in each list multiple OTAs are presented. Given the
small number of users that look beyond the first page, we restricted the analysis to the first
page.</p>
      <p>First, considering the CTR for diferent rank positions in the recommendation list, as reported
in Figure 1, the strong efect of the rank position becomes evident as already stated by Joachims
1With the term properties we refer to any type of accommodation like hotels, apartments, guest houses, etc.
2The OTA is the external company on which the user can book the property.
et al. [22]. Here, the authors indicated that users’ clicking decisions were influenced by the
relevance of the results, but also by the order in which they were presented. For the rest of the
paper, we will refer to the CTR in Figure 1 as the a-priori CTR.</p>
      <p>In order to answer the first research question, we report in Figure 2 the diference between
the CTR distribution conditioned on price and the a-priori CTR. We ran two experiments with
the following filter conditions: values higher than the 0.75 quantile and values lower than the
0.25 quantile within each recommended list. Specifically, in Figure 2a, we computed the CTR
distribution taking into account only the ofered properties that had a price higher than the
0.75 quantile price within each recommendation list, i.e., we removed all the properties with a
price lower than the 0.75 quantile in each recommendation list, and we subtracted the a-priori
CTR distribution to obtain the plot. Same procedure was applied to compute the conditioned
CTR distribution for properties with a price lower than 0.25 quantile, displayed in Figure 2b. In
this analysis, we just ignored the cheaper and expensive properties without changing the rank
position.</p>
      <p>For each rank position in the list, the CTR was higher than the a-priori CTR if we considered
properties with a price lower than the 0.25 quantile. This clearly means that lower prices
positively influenced the users’ propensity of clicking on a property and the opposite happened
if we considered properties with a price higher than the 0.75 quantile: for higher prices the
CTR was lower. The answer to the question: “Do ofered tourism properties with lower prices in
recommendation lists have a higher CTR?” is clearly yes. Price influences the user
decisionmaking both positively and negatively as stated in Lockyer [23] and Stávková et al. [24]</p>
    </sec>
    <sec id="sec-3">
      <title>3. Re-rank Algorithm</title>
      <p>To answer the second research question, we implemented a simple and eficient algorithm to
re-rank the top-25 list of ofered properties as recommended by the current algorithm. Since
the algorithm only re-ranks the top-25 items, it is ensured that all properties presented to users
are of comparable quality with the baseline. To re-rank the properties, we computed a score
and reordered the properties from highest to lowest score. The score, reported in Equation 1, is
composed by two logistic functions with two means:</p>
      <p>1 1
 =  · 1 + −  1 +  · 1 + −  2
(1)</p>
      <p>
        Where ,  ∈ [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] manage the weight of the two functions while  +  = 1,  represents the
score,  the price of the property  and  controls the speed by which the function approaches
the limits (i.e., 0 and 1). Finally, the two means,  1 and  2, represent respectively the mean price
for the type of accommodation3 of the property  within the recommendation list and the median
price of the properties within the recommended list (regardless of the type of accommodation).
For  2, we used the median instead of the mean to reduce the impact of outlier prices, for
example, the price of 5-stars hotels.  1 allows us to account in a simple way the quality-price
ratio, because a user may prefer to pay more for higher quality accommodations. While  2
controls for the absolute price of the properties, because, as showed in Figure 2b, users tend to
click on properties associated with a lower price.
      </p>
      <p>In the following experiments, we use  =  = 0.5. We select these values using the results
from ofline experiments on the dataset described in Section 2, because running multiples online
experiments with diferent values of the two hyper-parameters was not possible.</p>
    </sec>
    <sec id="sec-4">
      <title>4. A/B Test Results</title>
      <p>The A/B test was conducted on the company’s website for 20 days (between June and July 2022),
and, in the end, nearly 1 million searches were conducted by users worldwide. We compared
the Baseline policy used by the company with the Re-rank policy described in Section 3. The
results, in terms of CTR for each rank position, are reported in Figure 3. The confidence interval
at 95% is reported by the black line on the top of the bars.</p>
      <p>Figure 3 clearly depicts that, for the first position, the CTR achieved by the Re-rank policy
was statistically significant higher (more than 2%) than the Baseline policy. Instead, for all
rank positions after the third, the Baseline policy achieved a slightly higher CTR, even if the
diference was less than 0.5% and close to zero for bottom positions. The increase in the first
position was expected, and the results confirmed our hypotheses. However, we also expected
3With type of accommodation we refer to the diferent type of properties, e.g., apartment, guest house, hotels
with 3 stars, etc.
an improvement for more top ranked positions while from the third rank position we observed
a decrease.</p>
      <p>To further analyse the user click behaviour, given that we can not disclose the results in terms
of conversion rates, we computed the CTR for session (SCTR). The SCTR is defined as the ratio
between the number of clicked sessions and the total number of sessions: # of clicked sessions . A
# of session
session is clicked if at least one of the recommended item received a click. The Re-rank policy
achieved a SCTR of 23.48%, while the Baseline policy achieved a slightly higher SCTR of 24.16%.
The diference between the two policies was very small and showed that the increase in CTR
in the first position for the Re-rank policy was compensated by the decrease for all the other
positions.</p>
      <p>Given the results from the A/B test, the answer to the second research question, “Is a
pricebased re-rank of these ofered properties suficient to achieve a higher CTR?”, is clearly yes if
the main goal is to improve the CTR in the top position of the list. Despite the data analysis
results, which showed that lower prices were a key factor to improve the CTR, a policy that
re-rank items by price was only suficient to improve the CTR w.r.t. the Baseline policy in the
ifrst position of the recommended list. However, since users usually pay more attention to the
item in first position, this can be considered a good result even if the SCTR slightly decreased
with the Re-rank policy.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Influence of the OTA</title>
      <p>To further study the diferences in CTR and SCTR metrics between the two policies, we analysed
further variables with potential influence on user decision-making. Among the considered
variables, such as average rating, number of reviews and location of the properties, the Online
Travel Agency (OTA) presented with each property emerged as one of the key factors. Here, we
focused on the influence of OTAs because it is important to the company’s business and we
already analysed the other variables in [25].</p>
      <p>Figure 4 depicts the CTR at each rank position for the most common OTA and for all the other
(a) Count of impressions for the most common OTA. (b) Count of impressions for all the other OTAs.
OTAs. Since we can not disclose the names of the OTAs, we only distinguished between the
most common OTA and the other OTAs. The most common OTA always had a CTR that was
significantly higher than the CTR of the other OTAs at least for the first 15 positions, which
means that users preferred this OTA to the others. One reason for this preference could be that
the most common OTA might be more trusted by users.</p>
      <p>This diference in CTR between OTA groups, joined to the number of recommendations
for each OTA group, reported in Figure 5, could explain the diference in SCTR identified
between the two policies. From Figure 5a, we can see that the Re-rank policy recommended
properties with the most common OTA less frequently at top-ranked positions while favouring
more frequently other OTAs, Figure 5b.</p>
      <p>Thus, by favouring lower price ofers the Re-rank policy pushed less well-known OTAs
to top-ranked positions and exposed them to higher levels of users’ attention. Their lower
likelihood of being clicked, however, seems to have neutralized the positive price efect and
resulted in an overall decrease in the SCTR.</p>
      <p>The answer to the third research question, “Does the OTA associated with ofered properties
influence the CTR?”, is yes. Although price and rank positions were identified as the most
important features that influenced users’ decision-making, there were also other factors, in
our case the OTA, that could impact users’ decision and thus overall performance metrics of
a ranking policy. At the end, in our case, a price-based re-rank algorithm that also keep the
balance for the OTA feature would probably have improved the baseline, whereas considering
only the price was suficient to achieve a marginal improvement.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusions</title>
      <p>In this paper, we studied how the price influenced user click behaviour in online hotel search.
We started by analysing a historical dataset collected in a meta-search booking platform in which
as expected the price showed a strong influence on CTR. To verify this fact, we ran an online
A/B test on the company’s website to compare a Baseline policy with a price-based re-rank
policy that shufles the top-25 ofered properties in recommendation lists.</p>
      <p>The results showed that the re-rank policy improved the CTR for top rank position. This
confirmed that price was a key factor influencing users’ click behaviour in according to previous
works (such as Lockyer [23] and Stávková et al. [24]) where many factors influenced user
decision-making, such as cleanliness and quality of properties. However, in the context of RSs,
it is usually very dificult, or nearly impossible, to assess the true quality of items. Instead,
we found that even a more identifiable feature, such as the OTA associated with a property,
influenced the user decision. For example, in our case the most common OTA achieved a higher
CTR for every rank position compared to the other OTAs and seems to be favoured more by
users.</p>
      <p>This work consequently highlights the many influence factors and biases on users
decisionmaking in online travel search that are disregarded in most ofline datasets by presenting the
outcome of a price-based re-rank strategy.
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          -
          <lpage>67</lpage>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>