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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>A Study to Promote Car-Sharing by Adopting a Reputation System in a Multi-Agent Context</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Emilio Picasso</string-name>
          <email>epicasso@uca.edu.ar</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Maria Nadia Postorino and Giuseppe M. L. Sarne´</string-name>
          <email>npostorino@unirc.it</email>
          <email>sarne@unirc.it</email>
          <email>{npostorino, sarne}@unirc.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>DICEAM, University Mediterranea</institution>
          ,
          <addr-line>89122 Reggio Calabria</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Universidad de Buenos Aires</institution>
          ,
          <addr-line>Las Heras 2214, Buenos Aires, 1127</addr-line>
          ,
          <country country="AR">Argentina</country>
        </aff>
      </contrib-group>
      <fpage>13</fpage>
      <lpage>18</lpage>
      <abstract>
        <p>-In recent years the increasing rate of vehicular traffic due to private mobility caused congestion and environmental impacts in urban contexts all over the world. To face such problems an important contribution might be given by transit systems. However, transit systems are characterized by a discontinuous spatial and time coverage so that other forms of mobility, like car-sharing, can be an effective complement to it by providing the same flexibility and comfort of private cars. Several studies confirmed that car-sharing is almost as highly appreciated as private cars but having the advantage of lower costs. For such reasons, in recent years the car-sharing market increased continuously as it has been resulting more and more attractive for investors, although its market share remains limited. To encourage the car-sharing philosophy, from one hand traditional car-sharing companies are trying to reduce operational costs to offer lower fares and, from the other hand, several individual owners are starting to share their cars suitably supported by technology. To promote car-sharing activities, in this paper a multi-agent system able to monitor car-sharing users' driving habits is proposed. In particular, agents assist users in improving their driving, as well as in building their individual reputation measures over time. Such reputation scores can be used to allow the access to car-sharing services and personalized fares. Experiments on real and simulated data are encouraging and show the potentiality of this proposal. Index Terms-Car-Sharing, Multi-Agent System, Reputation System, Business Model.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>I. INTRODUCTION</p>
      <p>
        The growing of urban traffic flows due to the increasing
number of private cars, which represent the most part of the
vehicles moving in urban areas, has worsened the citizens
quality of life in terms of local environmental effects and
traffic congestion [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]–[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. To face such problems, several
measures have been implemented by local authorities to reduce
the use of private cars usually based on (i) restrictive rules
and/or suitable monetary policies (for instance, by adopting
road tolls, parking fees, limited traffic zones, interchange areas
and so on) [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]–[
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] and (ii) promotion of transit in urban
areas, which represents the most suitable alternative to private
mobility [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]–[
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. In this scenario, the main problem is that
private cars are generally more appealing than transit in terms
of comfort, privacy and flexibility [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. Indeed, transit is
characterized by discontinuity both in time and in space (it is
available at a given time and at fixed stops). On the other hand,
the ownership of a personal car requires an initial investment
to buy it, some mandatory costs (e.g., insurance, taxes and
so on) and some operational costs (e.g., gas, oil, service and
so on). The car-sharing system (from hereafter only CS) is a
solution able to give the same advantages of a personal car
without the aforementioned disadvantages - mainly costs.
      </p>
      <p>
        More in detail, CS follows a “ Car-As-A-Service” paradigm
[
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], i.e. it is a membership based service mainly designed for
both short time and distance trips, which is usually available on
demand (or reservation) to all qualified drivers belonging to a
community [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. Three types of CSs are commonly identified,
namely: (i) Peer-to-Peer (P2P): it takes place among private
users offering their personal cars for money (it was the first
type of CS and is receiving a new impulse from information
technologies); (ii) Business to Consumer (B2C): it is made
available by business companies with the obvious goal to
obtain financial benefits; i(ii) Not-For-Profit (NFP): in this case
local communities or social organizations manage a CS service
with the main aim to incentive a sustainable urban mobility.
      </p>
      <p>
        The first CS initiatives were in Zurich (Switzerland) in 1948,
Montpellier (France) in 1970 and Amsterdam (Netherlands) in
1971, but only after 1980 in Europe and in the USA the first of
positive commercial results were achieved. Nowadays, many
CSs (mainly B2C), similar for several aspects, are working all
over the world almost exclusively in highly populated cities
with significant congestion and parking problems, although
there are some examples of CS implementations in medium
size cities. Recently, CSs are receiving a strong impulse by
improvements in information and communication technologies,
which allow specialized companies to connect potential CS
users and owners of private cars desiring to rent their personal
vehicles when unused [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]–[
        <xref ref-type="bibr" rid="ref21">21</xref>
        ].
      </p>
      <p>
        Given its increasing relevance, many studies have been
addressed to explore the main issues characterizing CSs as
(i) users’ response and habits, for instance in terms of usage
frequency and effects of information technology [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ]–[
        <xref ref-type="bibr" rid="ref24">24</xref>
        ] (ii)
environmental benefits, e.g. reduction of vehicle kilometers,
accidents, emissions and fuel consumptions, increase in
average speed [
        <xref ref-type="bibr" rid="ref25">25</xref>
        ], [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ] and (iii) cost structure and system
organization, including pricing schemes [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ], [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ] or the
combined use of car sharing and public transport [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ], [
        <xref ref-type="bibr" rid="ref30">30</xref>
        ].
      </p>
      <p>
        Even though in recent years CS has been growing in
popularity among consumers and, consequently, among investors,
its market share is limited with respect to other transport
modalities so that its impact on the overall urban mobility
is essentially marginal. Therefore, to increase demand for
and offer of CS services, they should be more attractive for
users and investors. To this purpose, different policies can
be implemented and combined to support changes in users’
habits [
        <xref ref-type="bibr" rid="ref31">31</xref>
        ] as, for instance, discouraging the use of private
cars in specific urban areas, increasing the number of cars
available for rent [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ], enlarging the urban areas covered by
CS services [
        <xref ref-type="bibr" rid="ref33">33</xref>
        ], improving the financial appeal for all the CS
actors by making CS services more affordable for customers
and, at the same time, by increasing economical benefits for
investors.
      </p>
      <p>The implementation of suitable actions addressed to act on
the financial aspects of the CS market is then crucial. To
analyze the context, the cost of a CS service depends on
several factors which can be grouped in Marketing, Organization
and Production costs (see below), where the last group also
depends on customers’ behaviors in using the CS services.</p>
      <p>
        Even though the effects of the driving features are not
completely characterized, a general consensus exists on the
fact that an “aggressive” driving (e.g. speeding up, hard
braking and so on) has more than one negative effect [
        <xref ref-type="bibr" rid="ref34">34</xref>
        ].
In particular, it has direct impacts on costs for service, and
affects indirectly CS productivity because vehicles should be
stopped for maintenance. By promoting good driving habits,
some CS costs could be reduced in order to (i) offer lower
fares to users [
        <xref ref-type="bibr" rid="ref34">34</xref>
        ] by making CS more appealing with respect
to private cars and/or (ii) increase the financial profits for CS
activities by supporting existing companies in their initiatives
as well as by attracting new investors and new actors in the
CS business.
      </p>
      <p>
        To support this, a possible approach widely exploited in
different contexts involving real and virtual communities is
represented by the adoption of a reputation system, often
combined with agent technologies [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ]. Indeed, intelligent
software agents can both monitor CS consumers when they
are using CS services and compute their individual reputation
score. These scores can be used for different aims as, for
instance, to select users admitted to CS services, which is
particularly useful to encourage more individual owners to
share their personal cars, or to determine personalized fares
awarding the better customers. At the same time, agents
monitoring CS users’ driving activities can support them in
improving their habits.
      </p>
      <p>
        In this scenario, the main difficulty is the monitoring of
CS customers. However, progresses made in different fields
as computer science, electronic, control systems, signal
processing and communications make it not a very complex
task. The adoption of intelligent software agent technology
can help in monitoring users [
        <xref ref-type="bibr" rid="ref36">36</xref>
        ], simulating, controlling and
managing transportation networks at different levels of detail
by providing intelligent decision-making frameworks [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ] as
well as managing trust and reputation systems [
        <xref ref-type="bibr" rid="ref37">37</xref>
        ].
      </p>
      <p>In this paper, we investigate on the opportunity to support
CS customers by adopting a distributed reputation scheme
within a multiagent system in order to promote CS activities.</p>
      <p>In the following, Section II provides an overview of the
considered CS scenario and Section III presents the proposed
multi-agent architecture, while Section IV describes in detail
the activities carried out by the car-agents. The reputation
system is described in Section V and the results of the
simulated experiments are presented in Section VI. Finally,
in Section VII some conclusions are presented.</p>
    </sec>
    <sec id="sec-2">
      <title>II. THE PROPOSED SCENARIO</title>
      <p>Commonly, the industrial costs (C) of a CS activity are
represented as:</p>
      <p>C = CM + CO + CP
where:
• CM is the Marketing cost derived by advertising,
promotional events and whichever activity addressed to promote
the CS use;
• CO is the Organizational cost, which mainly involves
costs for employees, buildings, parking areas and similar
features;
• CP is the Production cost due to management and use
of the fleet.</p>
      <p>The relevance of each component is strictly related to the
CS business modality, i.e. P2P, B2C or NFP.</p>
      <p>Generally, the entries having the greater impact on the
Production costs are those for buying or renting the fleet,
the vehicle insurance, taxes and finally the costs for the fleet
maintenance and cleaning. Costs due to the adoption of
information and communication technologies are less significant.
As previously introduced, some of such costs are related to
the habits adopted in using the CS vehicles. Reckless or
inappropriate driving habits can lead to accidents or abnormal
consumptions of both mechanical parts and consumables and
this implies higher costs due to the service and lower profits
for the stopped time of those vehicles. Furthermore, in the
case of P2P-CS, inappropriate driving behaviors can also force
individual owners to avoid sharing their own cars.</p>
      <p>An important opportunity for promoting CS activities is to
encourage suitable individual driving modalities. Potentially
saved money could be used to reduced maintenance costs
and also for awarding, with personalized lower fares, those
consumers having appropriate behaviors. Therefore, as a hoped
result, such behaviors will permit financial benefits for all the
CS actors.</p>
      <p>
        The question is “How is it possible to realize this?”
Progresses made in computer science, electronic, control systems,
signal processing and communications help us to answer the
question above. Indeed, vehicles can be currently equipped
with at least 120 different types of sensors and their
number is increasing quickly (also including those equipments
allowing the new form of CS-P2P [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]–[
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]). Data gathered
by sensors plugged into cars can also be used to analyze
drivers’ behavior. For instance, some insurance companies
make available sensor-based equipments to be placed into cars
and offer lower insurance fees because of the possibility to
examine in a semi-automatic way the insured driving behavior
in case of accident. In this study, we associate each vehicle
with an intelligent software agent (hereafter simply agent) that
analyzes automatically data collected by the vehicle sensors,
classifies each driver based on his/her behavior and assists
him/her in improving his/her driving.
      </p>
      <p>
        Such a classification will be used to compute the drivers’
reputation, which can be defined as: “what is generally
said or believed about a person’s or thing’s character or
standing” [
        <xref ref-type="bibr" rid="ref38">38</xref>
        ]–[
        <xref ref-type="bibr" rid="ref40">40</xref>
        ]. In other words, within a community the
reputation has the meaning of a collective indirect measure
of trustworthiness deriving by referrals or ratings provided
by the other community members on the basis of their past
interactions.
      </p>
      <p>The computed reputation scores will be used for both
allowing/avoiding the access to the CS service and determining
personalized CS fares, e.g. a greater or a lower discount on
the baseline price</p>
      <p>III. THE CAR-SHARING MULTI-AGENT ARCHITECTURE
In this Section, we provide a short overview about the
proposed multi-agent platform, which fits all the types of CS
(i.e., P2P, B2C and NFP). The components of this platform
are (i) a community of agents, named car-agents (CA), each
one associated with a car, and (ii) their Agency.</p>
      <p>More in detail, for each driving session carried out on the
associated car, each car-agent provides to:
• analyze some data coming from sensors plugged on board
in order to classify the driving habits of the current CS
user;
• support the CS user in improving his/her driving style;
• compute a score (i.e., feedback) on the basis of its
monitoring activity, which will be sent to its Agency.
In a complementary way, the Agency provides to:
• collect the feedbacks computed locally by the car-agents
to update the reputation score1 of each user exploiting
the CS service the Agency is managing;
• apply specific policies on the basis of the computed
drivers’ reputation measures (e.g., the Agency allows or
denies the access to the CS service, determines
personalized fares for the CS service and so on);
• make available some common services to all the CAs
associated with it (e.g., the agent white pages).</p>
    </sec>
    <sec id="sec-3">
      <title>IV. THE CAR-AGENT ACTIVITY</title>
      <p>This section describes the car-agent activities introduced in
the previous section.</p>
      <p>
        Each car-agent accesses all the data coming from the
sensors plugged on board of its associated vehicle that are
useful for its goals. Note that almost all the new cars are
provided with a significant number of sensors and processors
to analyze sensors data. The number of on board sensors
(i.e., information sources) is expected to grow significantly,
similarly to those on vehicles that currently are equipped to test
1Note that some corrective actions on the reputation scores could be adopted
in presence of events that cannot be gathered in an automatic way as, for
instance, car body damages, interior cleaning and so on (see Section V).
autonomous driving. In such a context, some future scenarios
foresee that within few decades, mainly for safety reasons,
only autonomous driving vehicles will be legal [
        <xref ref-type="bibr" rid="ref41">41</xref>
        ] and, as a
consequence, CS and other forms of mobility, for instance taxi
services, will be different from those that we know nowadays.
However, the current equipment is already suitable for
caragent activities to be carried out2.
      </p>
      <p>To realize the agent tasks described in Section III, a given
CA analyzes the sensor data collected in real time and exploits
them to: (i) address the driving habits of the CS users on the
basis of its data analysis; (ii) compute an overall score for
evaluating the driving style of the current CS session.</p>
      <p>As for the first task, we note that some dashboards already
provide information to the driver mainly to optimize the
gasoline usage. In our proposal, we suppose that the CA is
able to give driver information useful to optimize the use of
the vehicle under a more general point of view (e.g., gasoline,
brakes and so on) or, in other words, to optimize his/her
driving habits. The second task of the CA is addressed to
compute a feedback, identified as F , exploited by the Agency
to update the value of the driver’s reputation measure as
specified in Section V.</p>
      <p>
        To compute the value of F 3, let CAi be the car-agent
associated with the vehicle i and let uj be a user exploiting
that CS service. Moreover, let FiS,j be the feedback computed
by the agent CAi for the user uj with respect to the service
S into the domain [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] ⊂ R, where 0 means the minimum
appreciation for the ui’s driving habits and 1 denotes the
maximum one. Based on the information siS,1, · · · , siS,n given
by the n sensors on the vehicle i, the car-agent CAi calculates
the feedback FiS,j . Different strategies and algorithms can
be used for computing such a feedback and, therefore, we
describe it as the result of a function F ( ) depending on the
parameters siS,1, · · · , siS,n in the form:
      </p>
      <p>FiS,j = F (siS,1, · · · , siS,n)
(1)</p>
      <p>Note that Eq. 1 is the kernel of the system and its correct
definition could represent a very complex problem. For a
low number of parameters also a simple if-then-else approach
could be applied; differently, for a high number of parameters
other computational techniques, among which fuzzy-logic or
artificial neural networks, appear more suitable candidates for
implementing F .</p>
    </sec>
    <sec id="sec-4">
      <title>V. THE REPUTATION SYSTEM</title>
      <p>
        In order to compute the drivers’ reputation scores, we
designed a specific reputation system, realized by the Agency,
which satisfies the following three properties, summarized
in [
        <xref ref-type="bibr" rid="ref42">42</xref>
        ]:
      </p>
      <p>2Similar services are already make available by some fleet management
softwares in a centralized way.</p>
      <p>3Note that the function F( ) could not be the same for all the car-agents
managed by Ag so that the score evaluations can not be uniform along all
the multiagent system.
(3)
(4)
• each involved entity is time persistent, so that for each
interaction an expectation of future interactions always
exists;
• reputation ratings about current interactions are captured
and spread within the involved community;
• reputation ratings about past interactions are used to guide
decisional processes about current interactions.</p>
      <p>More in detail, let CAi be the car-agent associated with the
vehicle i belonging to a CS company managed by the Agency
and let uj be the user of the CS service S on i. When the CS
service ends, the car-agent associated with the shared vehicle
sends to its Agency the feedback FiS,j for uj , computed based
on the information gathered by the vehicle sensors during S.
The Agency will exploit FiS,j to update the reputation score of
uj .</p>
      <p>
        More formally, let Rj ∈ [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] ⊂ R be the reputation of
the user uj . After the car-agent CAi has sent to the Agency
the feedback FiS,j for the service S consumed by uj , then the
reputation of uj is updated as follows:
expensive CS services. For NFP-CS it is worthless
and, therefore, in this case the value of V is set to
1.
– ξj is a system parameter ranging in [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] ⊂ R
intended to give the reputation system a uniform
metric by taking into account those characteristics
of the CS services not intrinsically considered by
the parameter CiS,j and mainly due to the adoption
of different policies by the CS companies.
• PjS is a penalization coefficient foruj ranging in [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] ⊂
R used in the case of behaviors/effects not automatically
detectable/verifiable by the car-agents4. For default PjS is
set to 1, i.e. absence of penalization for uj .
      </p>
      <p>On the basis of the reputation score the Agency can adopt
different fare policies and even deny the possibility of using a
CS service to a customer having a very low reputation score.</p>
    </sec>
    <sec id="sec-5">
      <title>VI. EXPERIMENTS where: In this section we present the results of two experiments addressed to verify the effectiveness of the approach previously</title>
      <p>Rjnew = (α · σiS,j + (1 − α) · Rjold) · PjS (2) discussed.</p>
      <p>
        The first experiment is addressed to verify if the system
can compute a reasonable feedback. To this purpose, the
• α is a system parameter ranging in [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] ⊂ R and ruling OpenXC repository [
        <xref ref-type="bibr" rid="ref43">43</xref>
        ] was exploited. It consists of a
the behavior of the reputation system. More in detail, it number of anonymous tuple, i.e. the data do not permit
weights the relevance of the parameter σiS,j (see below), their association with drivers, referred to different scenarios
which takes into account the feedback FiS,j , in updating and driving habits. More in detail, each tupla is made as
the reputation of uj (i.e., Rj ). In other words, the higher {”name”:”string”, ”value”:integer, ”timestamp”:time }, where
its value, the lower the sensitivity of the reputation at the first pair identifies the type of information, the second
quick changes and vice versa. pair gives its value and the last pair returns a progressive
• σiS,j is the contribution to the reputation due to S, which time. As an example, see the tupla above:
also takes into account the feedback FiS,j . More formally,
σiS,j is computed as:
      </p>
      <p>σiS,j = FiS,j · ViS,j · ξi
where:
– FiS,j is the feedback computed and sent by CAi to</p>
      <p>
        the Agency.
– ViS,j is a parameter belonging to [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] ⊂ R and
referred to the monetary cost C(S) of the service
S (Eq. 4) computed as:
      </p>
      <p>ViS,j =



</p>
      <p>CiS,j


 CMax
1
if CiS,j = CMax
otherwise
where CMax(S) is a system threshold representing
the maximum cost for a CS service after which ViS,j
is considered satured. Therefore, the lower the cost,
the lower the effect on the value of the feedback
given by the service S. This is a countermeasure
introduced to reduce the weight of positive reputation
for marginal CS services and then avoid misleading
behavior addressed to consume such reputation for
{ ”name”:”accelerator pedal position”,
”value”:2,
”timestamp”:1361454211.483000 }</p>
      <p>To solve the problem given by the anonymity of the
OpenXC data, we generated 100 driver’ profiles belonging to
five driver styles (respectively named very soft, soft, neutral,
aggressive and very aggressive). Then for each simulated
driver, 10 driving tracks have been built by suitably assembling
the OpenXC data for a global number of 1000 driving tracks.</p>
      <p>More in detail, each driving category has 20 simulated
drivers. Each category is characterized by a different driving
habit in terms of aggressive driving data (e.g., hard
acceleration, hard braking and so on) included into the tracks
data (see Table I) and randomly assigned to each simulated
driver. Therefore, for a specific simulated driver the associated
driving tracks consist of suitable sequences5 of homogeneous
(e.g., “aggressive” or “not aggressive”) OpenXC tuple
matching the assigned profile. Finally, given the adopted method</p>
      <p>4Note that the evaluation of damages as accidents, damages, interior
cleaning, penalties and so on, currently have to be necessarily processed by
humans.</p>
      <p>5Each sequence consists of 8 tuple and each driving track is different for
number of tuple, i.e. time length.
Driving Category aggressive/non aggressive ratio
very sof t 1:0 (i.e., only not aggressive actions)
sof t from 4:1 to 2:1
neutral 1:1
aggresive from 1:4 to 1:2
very aggresive 0:1 (i.e., only aggressive actions)</p>
      <p>TABLE I
THE ADOPTED AGGRESSIVE/NON AGGRESSIVE DRIVING ACTIONS RATIO
to assemble the driving tracks, a timestamps harmonization
procedure needed. However, this procedure did not affect the
experimental results in any way.</p>
      <p>
        The computation of the feedback F for a driving track (i.e.,
a driver) is computed on the basis of the ratio between the
driving time (in seconds) and the overall number of aggressive
actions in that time. In order to identify an aggressive action
an Artificial Neural Network (ANN) [
        <xref ref-type="bibr" rid="ref44">44</xref>
        ] has been adopted,
a tool able to deal with problems denoted by uncertainty and
frequently used in trasportation research [
        <xref ref-type="bibr" rid="ref45">45</xref>
        ], [
        <xref ref-type="bibr" rid="ref46">46</xref>
        ] The ANN
has been set up after preliminary tests that identified the
optimal pattern structure and the ANN architecture, topology and
learning strategy. More in detail, for the ANN training set we
used the data coming from the 30% of the generated driving
tracks arranged in patterns. Each pattern contains as input 9
data deriving by three tuple 6 and a unique real value ranging
in [
        <xref ref-type="bibr" rid="ref1">0, 1</xref>
        ] as output data, where 0/1 means minimum/maximum
aggressiveness degree. In particular, each tupla consists of an
integer number coding the attribute ”name”, the associated
value and the time interval occurring with the previous tupla 7.
      </p>
      <p>
        The ANN model and learning algorithm we identified as
the most profitable solutions, are a three-layer ANN trained
by a back-propagation (BP) algorithm [
        <xref ref-type="bibr" rid="ref44">44</xref>
        ], having 9, 120
and 1 nodes for the input, hidden and output layers and
hyperbolic and sigmoid activation functions for the neurones
of the hidden and output layers. The above described trained
ANN recognized aggressive driver actions on the remaining
driving tracks with an accuracy of over 79%, which can be
considered a satisfactory preliminary result given the nature
of the exploited dataset.
      </p>
      <p>The second experiment is addressed to test the effectiveness
of the proposed reputation system. To this purpose, 1000
simulated drivers have randomly associated with the driver
typologies presented in Table I. Two different scenarios were
considered: the first scenario (named A) assumes a uniform
drivers’ behavior along all the simulation, while the second
one (named B) is addressed to test the robustness of the
reputation system as regards to oscillatory behaviors by assuming
that aggressive drivers try to build a positive reputation on
cheap CS services for consuming it on expensive CS services
(25% of the CS services was assumed to be expensive). In the
simulations, the reputation system parameters α, ξ and P were
respectively set to 0.15, 1 and 1, while the feedback F and
the parameter V were randomly generated coherently with the
6The target tupla and those referred to the previous and following actions.
7Note as the first tupla of each driving track is not considered.
drivers’ nature and the involved scenario. When the simulation
starts, all the drivers receive an initial reputation score of 0.5
and for each epoch only 20% of the overall number of drivers
is randomly selected. Clearly, the higher is the percentage of
drivers correctly identified, the higher is the accuracy of the
proposed reputation system.</p>
      <p>Both scenarios provided satisfactory results (depicted in
Figure 1). In particular, line A shows that 90% of the drivers
nature is correctly recognized after less than 80 epochs.</p>
      <p>Note that initially all the normal drivers are recognized and,
although it is due to the assigned initial reputation score of 0.5,
this result does not change along all the simulation. Some tests
carried out by adopting a different initial reputation score (e.g.,
0.75) led to a similar result. The proposed reputation system
works well also in presence of drivers’ oscillatory behavior
and 90% of the aggressive drivers have been recognized (line
B) after less than 140 epochs also under these particular
conditions.</p>
      <p>CS can play an important role to support public and private
mobility and contribute to reduce traffic and environmental
problems affecting urban contexts. To this purpose, in this
paper we investigated about the possibility of improving
convenience and profits for CS users and CS suppliers,
respectively.</p>
      <p>To address these issues we propose the adoption of a
reputation system implemented by intelligent software agents
and tested by performing some experiments based on real and
simulated data. The aim is to identify good driving behaviors
to reduce CS fees, and vice versa, thus making the system
more attractive for both CS users and CS suppliers. The first
experiment exploited real vehicular sensor data to identify the
driving users’ habits; the second one, based on simulated data,
verified the effectiveness of the proposed reputation system for
two scenarios. The results of these preliminary experiments
encourage future researches for further developments of this
proposal.</p>
    </sec>
    <sec id="sec-6">
      <title>ACKNOWLEDGMENT This work has been developed within by the Networks and Complex Systems (NeCS) Laboratory - Department DICEAM - University Mediterranea of Reggio Calabria.</title>
    </sec>
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