=Paper= {{Paper |id=Vol-2683/paper2 |storemode=property |title=Toward the Methodology for Considering Mentality Properties in eGgovernment Problems |pdfUrl=https://ceur-ws.org/Vol-2683/paper2.pdf |volume=Vol-2683 |authors=Alexander Makarenko }} ==Toward the Methodology for Considering Mentality Properties in eGgovernment Problems == https://ceur-ws.org/Vol-2683/paper2.pdf
 Toward the Methodology for Considering Mentality
       Properties in eGovernment Problems

                                                             Alexander Makarenko
                                                    Institute for Applied System Analysis
                                           National Technical University of Ukraine Technologies
                                                                 Kiev, Ukraine
                                                           makalex51@gmail.com

    Abstract—A general framework for eGovernment is                               The structure of the paper is next. At section 1 we
considered. The results of system analysis of different                        propose the general scheme of eGovernment droving from
components of eGovernment are proposed. Also the                               the point of view proposed by author concepts. Some
background for considering and modeling of human properties                    detalization of such concepts is proposed at section 2.
of individuals is described. It is proposed also the models for                Section 3 devotes for considering transformations in society
considering spreading and development of eGovernment in the                    and of eGovernment subsystem.
society. The approach allows forecasting the dynamics of
opinion formation, and leading to modeling of the behavior of
eGovernment participants. Our approach is based on the                                          II.   CENERAL FRAMEWORK
attempt to utilize the principles of associative memory from                       eGovernment is the society part. So it should be
neural networks. Also the models with internal mental                          considered in the general frames accepted for considering
structures structure of individuals are considered and results of              society and social systems. Usually in general problems of
computer experiments are discussed. Different kinds of opinion                 large social systems three ‘pillars’ had been considered
evolution are discussed including punctuated equilibrium.                      (Figure 1)
Indexes for power distribution in eGovernment are proposed.
Further research problems just as recommendations for                              All such components (and restrictions on corresponding
practical implementations are proposed.                                        recourses) also should be considered in eGovernment
                                                                               problems. Remark that scientific community agrees that
   Keywords—eGovernment, opinion formation, associative                        ‘ecology’ and ‘economy’ ‘pillars’ have more or less
memory, reputation, mental patterns, participants, evolutionary                developed models. But ‘social’ ‘pillar’ has less adequate
approaches, cybersecurity                                                      models. So in discussion of general framework for
                                                                               eGovernment we will concentrates on the methodologies for
                                                                               ‘social’ aspects. At first stage we will accept that the models
                         I.      INTRODUCTION                                  for ‘ecological’ and ’economical’ components will supply
    Recently eGovernment became more and more common                           the forecasts for ‘social’ components environment. (This is
technologies for society tasks and for society                                 only the approximation because ‘social’ pillar has impact on
transformations. But practical experience in eGovernment                       other). Following approach from [5, 6] we suppose at the
using is far ahead of theoretical foundations of eGovernment.                  first approximation that he social part of eGovernment
Before in the series of papers [1-4] we had proposed outline                   consists from N individuals with bonds between them. The
of the problems of eGovernment. For example we had                             individual posses own dynamics of some parameters of
considered the eGovernment from the point of view of                           social type.
system analysis [1]; some presumable methodologies for
eGovernment considering [2,3]; sustainability of society and
of eGovernment [4] ; general models of large social systems
[5,6]. But for deep understanding of eGovernment and
moreover for practical implementation of eGovernment
systems more elaborated concepts, models and
methodologies should be developed.
     Thus in given paper we propose some approach for
accounting mental properties of eGovernment participants,
the ways of transformations and the number of related
properties, including investigation of system elasticity,
calculating power indexes, supply the security of the system
etc.
                                                                               Fig.1.   Three ‘pillars’ of social system




Copyright © 2019 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0)
    We suppose that the ‘Social’ part of government also has     example the Scales of projects may expand from local to the
the ‘technical’ part. ‘Technical’ part includes interfaces       country or international level.
between participants of eGovernment and administrative
(electronic and classical) part. For example ‘technical’ part        It had been stressed by many researchers including author
may include communication lines, computers, analytical and       [1-4] that the eGovernment development require the
security centres personal interfaces etc. Administration may     searching of optimal ways for design and financing of
include top-level leaders, decision-making departments, data     eGovernment. Recently it is impossible with applications of
collection and processing departments, press centres and         mathematical models and approaches. The models are
many others. Thus at first approximation the eGovernment         necessary as for global problems (for example for sustainable
system may be represented by schemes on the Figures 2, 3.        development) as for searching more local regional
Figures 2 corresponds to traditional arrangement of              commercial projects and solutions. Of course a lot of
government. But the Figure 3 display the origin some new         mathematical models exist for different components of
aspects of government which include the ‘electronic’             remarked above pillars of system (it may be the goals of
government. The essentially new elements are individuals         separate papers). So here we will concentrate on the aspects
with access to servers (S) through communications lines and      most closely related to eGovernment especially to the less
separate departments for decision- making.                       formalized (just theoretically).

    Of course such pictures are oversimplified. So it is
possible to pose more detailed scheme which can help to
understand the structure and role of eGovernment in social
system. Remark that evidently hierarchical nature of
considered social systems. Such pictures may also help to
pose the tasks of investigation and design of eGovernment
systems of different level and scales.




                                                                 Fig. 3. Scheme with ‘classical’ and ‘electronic‘ government

                                                                     Namely below we will consider the components related
Fig.2.   Simple scheme of ‘classical’ government
                                                                 with ‘population’ and ‘government’ blocks from Figures 2,3.
    Of course such presumable schemes also are some              Remark that usually any of components of eGovernment
approximations for real system. For example because a lack       include as ‘classical’ as ‘new’ component (‘new’ means
of place we doesn’t show explicitly infrastructures,             related to ‘electronic’ part of eGovernment). The share of
organizations, forms and industry, cities and villages, social   ‘new’ components may be evaluated by some formal
networks and many others. But just such schemes allows for       procedures and indexes. The fracture F (%) of population
stress some components and aspects of eGovernment. Such          which use the interfaces (external and through PC) of
pictures illustrate the different presumable scales of           eGovernment may serves as one of the simple examples. The
eGovernment systems; non-homogeneous character of                fracture FG (%) of government departments involved in
systems especially of population; hierarchy in systems;          eGovernment may serves as second example. The part of
interrelations and interactions between subsystems. Probably     power in given social system transferred to population
such pictures may help in classifications and ranking of         through eGovernment is the third example. But just the task
eGovernment projects and necessary cost evaluation. For          of such blocks modelling is very complex (but possible in
                                                                 principle for all pillars and components). For describing one
presumable approach for general modelling here we will                or liquidity participant, while the negative values mean that
concentrate mainly on human - related tasks.                          the participant j is either insider who work against the
                                                                      information he has in order to hide himself, or a participant
     III.   SHORT DESCRIPTION OF ASSOCIATIVE MEMORY                   who is likely to be wrong in his judgment. The reputation
             APPROACH FOR SOME SOCIAL PROBLEMS                        variables cij form a matrix
    First of all we stress some problems related to population
participants at eGovernment: 1) formation of public opinion                                    C = {cij }i, j =1,..., N                    ()
on some issue by electronic system; 2) voting on some
question through eGovernment; 3) expanding of
                                                                      that we call the matrix of reputation. The approach cij
eGovernment system; 4) evaluation of power distribution
                                                                      valuation will be discussed later at the end of this section.
between population and administration. Below we propose
for illustration the development of methodology the first                 As one of the basic characteristics of the system we
problem. Remark that in this paper we intend only to illustrate       introduce the concept of a vector field of influence
the background of methodology on the base of simplest
examples.
                                                                                                                          sj
A. General ideas                                                                F = { f i }i =1,, N : f i =  cij             , cii = 0   ()
                                                                                                              j       Mj
    We present here briefly the core idea of the approach and
the rough draft of the model that we are going to develop in
the research. The proposed model does not pretend to be full          where fi means the integral influence of opinions of all other
and is intended only to demonstrate the basic ideas presented         participants on i participant. The intuition behind this formula
here.                                                                 is the following. The ratio si/Mj represents the opinion
                                                                      intentions of participant j at the current step. It shows the
    As the first example we consider the simplified problem           number of opinion participant j is planning to support or
when all individual are involved in eGovernment system.               reject as a percentage of what his actual power is. The
Lets all individuals pose personal opinion through electronic         product cij×sj/Mj is the information about intentions of
networks and received some revised information through                participant j filtered through the matrix of reputation. Thus,
networks. Remark that the type and volume of information is           the sum (2) represents all the available to participant i
different. The first is the case of fully open process when all       information about the actions of other participants, and since
individuals know the opinion of all involved participants. The        it is filtered through the matrix of reputation, it is meaningful
second case is the backward distribution for all participants         and trustworthy to him. We would like to note here, that all
only the integral results (for example average opinion – say          the other information, participant i might have, is already
the percents of supporting individuals or the power of support        incorporated in his initial intensions si.
of some issue).
                                                                          Obviously, the best strategy for rational individual will be
    In order to make easier understanding of the method and           to adjust his own initial intentions to the filtered information
to simplify the initial formulas, we consider the idealized           about others. Speaking formally, we say that every participant
society. The opinion development consists of discrete steps,          is associated with the information utility function, which he is
at which the actual exchange of opinion take place. Within            trying to maximize during the decision-making process. It is
each step we identify the sub steps, which describe the               done by correlating the decision of individual i with the
dynamic bidding and asking or decision-making processes for           corresponding value of the field of influence fi.
every individual. The society consists of N homogeneous
participants (in future developments the homogeneous                      Thus, we may formulate the evolution equation describing
assumption obviously should be removed).                              the opinion dynamics (of course it is the simplest possible
                                                                      example of dynamics):
     With every participant we associate the state variable
siS={0,1,2,…,Mi}, where si represents the number of
shares that participant i is planning to strength (if si>0) or to                                 si (t + 1) =
weak (if si<0) opinion, and Mi is the maximum allowed                              si + 1, if f i (t )  0 and si (t )  M i , 
                                                                                                                                
                                                                                                                                           ()
volume, which represents the power of opinion of participant                     = si − 1, if f i (t )  0 and si (t )  − M i ,
iis able to accept.                                                                 si                                         
                                                                                                         otherwise .
    With every pair of participants i and j we associate the
variable cijR – the integral value of reputation that                    The initial conditions for this dynamic equation are the
participant j has from the point of view of participant i. This       intentions of each individual to support opinion at the
value measures the degree of how well informed; participant j         beginning of the opinion forming step. They are formed under
is in the eyes of the participant i. The large positive values of     the influence of the sources outside the system, and represent
cij mean that, in the opinion of participant i, participant j is an   the participant’s forecast of how well the particular opinion
informed (news, insider) participant, the values close to zero        distribution will be doing.
can mean that the participant j is an uninformed (noise, nice)
    Given the initial conditions for si and known values of             The reputation matrix in the described above model
influence matrix, we may calculate the dynamics of the              remains invariable during the supporting/rejection or
opinion patterns. Such dynamics is expected to be beneficial        decision-making steps. Obviously, it should change at each
for each participant, since it leads to the maximal utilization     evolution step, since participants analyze their own
of the filtered, and therefore useful, information available to     performance as well as the performance of other participants
him.                                                                and society as a whole. Therefore, each individual might
                                                                    assign different coefficients to the corresponding elements of
    Obviously, the system consists of protagonists with             the matrix of reputation, which will be enforced at the next
different and frequently antagonistic goals. Thus, the actions      evolution step.
beneficial for a particular participant do not necessarily
benefit the others. Moreover, each participant acts from his            Thus, the reputation matrix plays one of the major roles in
own interests and generally, if somebody wins, someone              the proposed model, and the applicability of the model
loses. However, all these egoistic individuals comprise the         depends, to a great extent, on the correctness and accuracy of
system we consider. Therefore, from the system point of view        the reputation coefficients. The numeric values for the entries
the question is, whether the defined above dynamics of every        of the matrix of reputation are not readily available. However,
participant leads to a meaningful evolution of the whole            one of the advantages of the given approach is that it uses
system, or is this just a disordered, chaotic motion? The           already proved and experimentally tested algorithms for the
answer can be found using the analogy with the physical             identification of the matrix C via the prior observations of the
systems.                                                            opinion patterns. This algorithm has the form of the well-
                                                                    known rule from the pattern recognition theory of associative
   As the variable summarizing the evolution of the system,         memory models [7]. Its brief idea can be outlined as follows.
we introduce the concept of ‘energy’E, which characterizes
the impact all the participants have had on each other in               Suppose we have recorded information about opinion
making their supporting/rejection decisions:                        patterns Zk, k=1,…,K, where Zk={si} at the time moment k, K
                                                                    is the number of observations, i=1,…,N, N – number of
                                                                    participants. Then the matrix of reputation C can be evaluated
                         E = − f i s i                             as
                                 i

    Thus, at any given point in time, ‘energy’ E characterizes                                      sik s jk
the state of the society. Naturally, we are interested in the                  C = {cij }, cij =             , cii = 0        ()
                                                                                                    M      M
evolution of the opinion patterns leading to a state that has the                                 k    i     j
property of stability. By analogy with the physical systems,
we will call the state of the system stable if the ‘energy’ E has      Of course such model correspond more to the case of
a local minimum in this point. As we will see, the system will      opinion formation in parliaments, administrative councils,
tend to minimize its energy during the evolution process. To        and cyberspace networks. But a lot of improvements of model
show this, we will first formulate and prove the following          can be proposed. Here we describe some of most evident.
statement.                                                              Anyway more realistic is situation that only F(%) of
   Statement 1. Under the law of evolution (3) the system           population is involved in egovernance processes. Then the
evolves to a local minimum of energy E.                             frames of the model are the same but for all population only
                                                                    opinions of Ne e-participants are known. This allows further
    After energy reaches the local minimum, due to (A1) any         developments. At first the opinion of this Ne participants
change of the state of the system will increase the energy,         serves as the information for other part on society by mass-
which is impossible because of (A2). Thus, si(t+1)=si(t),  i,      media, social relations etc. Such information serves also as
and the system will retain its stable state until some external     some kind of social questionnaires (with the same difficulties
forces are applied. Such stable state can be thought as             and problems). As such the date of e-participants opinion may
equilibrium, at which opinion pattern takes place. It simply        serve as the database for other models and approaches. At
means that all the participants have reached their decisions        second the changes in reputations C={cij} can be introduced.
having maximized their own information utility functions.           Such changes in reputations may have different reasons –
Since we are assuming that all the external information the         internal and external. Internal changes have internal process
participants might have is represented by their initial             of evolution as the source. External changes may have the
intentions, evolution occurs. Thus, maximization of                 mass-media influence, straggle of political parties, and
individuals’ information utility functions leads to the             education system as the main reasons. Remark that special
minimum of energy of the system and, therefore, to its              dynamical equations may be derived for evolution of C={cij}
coordinated movement during the decision-making step.               during time flow [7].
   The next evolution step begins with the new initial                  Presumable variety of matrix of reputation properties may
conditions, which contain the new information participants          follow to a lot of different effects (which we cannot describe
have been able to obtain.                                           here because the lack of space). We only remark here the
                                                                    possibility of periodic solutions for slightly non-symmetrical
                                                                    matrix of reputation and chaotic behaviour of public opinion
in the case of sufficiently non-symmetric reputation matrix.            а) Multiplicative
Also the abrupt transition between quasi-stable stats of
opinion during time in case of non-constant matrix of                                         vi (t ) =  ( Di (t )) g i (t )                    ()
reputation C={cij}.
                                                                                                                   −k Di (t )
B. Accounting the internal structures of eGoverment                  where for example ( Di (t )) = e                          . In simplest evident
    participants                                                     variant we may take:
    The next step in development of proposed models is to
account the internal structure of participants (we named such                                          N
participants as ‘intellectual’).
                                                                                           Di (t ) =  S ij (t ) − S Rj (t )                     ()
    Let us consider the idealized market as the collection of N                                        j =1
intellectual participants. We will consider the process with
discrete time steps. Each participant should to do decision
                                                                           b)    Additive        vi (t ) = g i (t ) + f i ( Di (t )) ,        where
(change of state) at each time step in dependence of all
participants’ states.                                                 f i ( Di (t )) – some influence function. The simplest
     Participant’s state is described by the variable                example is:
Si(t)S={0,1,2,…,Mi}, which corresponds to the amount
of the recourse (opinion, information, materials and so on),
                                                                                                              R (S j S j )
                                                                                                              N    R i
which may be gain ( if Si(t) < 0) or collect (if Si(t) > 0) by i                           f ( Di (t )) = Cij                                  ()
individual (participant). Here Mi is the maximal volume of its                                           j =1     Mj
resource (its potential). Interaction of individuals in
organization is described by influence matrix C={cij},
                                                                         In this model vector vi(t) represent the understanding by i
j=1,…,N, cij[0,1] where cij – influence coefficient of j
                                                                     participant on the tendencies in system: If vi(t) > 0, then the
individual on i. The influence matrix C may reflect the
authority power in organization. In simplest model we take           tendency is to increase the recourse, if vi(t)  0, then the
Cij=0, i=1,…,N.                                                      stability is the main tendency, if vi(t) < 0, then the tendency is
                                                                     to reduce the resources.
    So the collection QR(t)=({SRl(t)},{CRlj}), i,j=1,…,N
represents the real state at moment t. Let us consider also             One of the most usable forms of activation function F in
Qi(t)=({Sil(t)},{Cilj}), i,j,l=1,…,N as ideal pattern of situation   such type models are:
from the i participant point of view. Then we can calculate
the difference between real and ideal patterns of situation:
                                                                                                   S iR (t + 1) =
                                                                                                     G (t ) S iR
                    Di (t ) = Q i (t ) − Q R (t )             ()        S R (t ) + 1 if v (t )                   and S iR (t )  M i ,
                                                                          i                  i
                                                                                                          Mi
                                                                                                                                               ()
                                                                          R                          G (t ) S iR
    We suppose that the dynamics of i participant depends on                  (  ) − 1 if     (   )               and S iR (t )  − M i ,
the difference Di(t) and on the mean influence field by other             i
                                                                           S   t          v i   t
                                                                                                        M   i
participants. We accept the influence field G(t)={gi(t)}, I                   0                            othervise ,
=1,…,N as:                                                               
                                                                         
                                                                         
                                N             S Rj (t )                 where
                      g i (t ) =     C ijR                   ()
                               j =1            Mj
                                                                                                                  N
    The term SRj(t)/Mj in (6) corresponds to the activity of j                                                     gi2 (t )
participant at the moment t. The term CRij(SRj(t)/Mj)                                                             i =1
                                                                                                G (t ) =                                        ()
corresponds to activity with reputation accounting. In general                                                        N
case the dynamical law for participant takes the form (F some
law for participant’s reaction, named frequently activation             Remark that very interesting development of proposed
function):                                                           models consist in introduction time dependence of
                                                                     connections by some dynamical laws. The models described
                                                                     here correspond to the constant bonds.
                      SiR (t + 1) = F (vi (t ))               ()

where the argument vi(t) may takes the form:
     IV. RESERCH TASKS AND PROBLEMS TO BE SOLVED                      multi-valued solution existing in case of individuals which
    Proposed approach allows developing the software and              can anticipate the future [8].
trying to understand some properties of society and
particularly eGovernment. Here we describe some examples                                        V. CONCLUSION
of computer experiments with the models (5)–(12) which                    Thus in proposed paper we consider the approach for
accounting the internal structure of participants and non-            system analysis and modeling which implement some
constant in time reputation of participants (Figure 4).               properties of real society and eGovernment. The main
                                                                      distinctive features are the accounting of internal properties of
                                                                      participants. As the authors envisage, the modeling principles,
                                                                      described in section 3 can lead to the formulation and solution
                                                                      of the following problems:
                                                                            1. Development of models of opinion patterns for the
                                                                      specific real problems.
                                                                            2. Investigation of the control and security problems of
                                                                      eGovernment on the base of proposed approach.
                                                                            3. Introducing and investigation different indexes of
                                                                      eGovernment operating, especially of power of e-participants
                                                                      community.
                                                                            4. Numerical simulation of specific local eGovernment
                                                                      problems.
                                                                            5. Analysis of the eGovernment spreading in society
                                                                      on the base of proposed methodology.
                                                                            6. Forming proposition for building general tasks
                                                                      computing systems of investigation and managing
                                                                      eGovernment with accounting all aspects remarked above.
                                                                            7. Proposed approach allows re-formulate the
Fig. 4. Example of opinion formation modeling
                                                                      problems of cyber security of networks and more generally
    The horizontal axe corresponds to the steps of evolution          security of society.
of opinion formation. The vertical axe represents the
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