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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Modeling Expectations of Resort-Tourist Market</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Pavel Zakharchenko[</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anna Kostenko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tatyana Kungurtseva-Mashchenko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Illona Gorbachova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Berdyansk State Pedagogical University</institution>
          ,
          <addr-line>4, Schmidta str., Berdyansk, 71100</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>5</fpage>
      <lpage>14</lpage>
      <abstract>
        <p>In modern world economy resort recreations is one of the most highprofitable spheres of managing. Ukraine owns the powerful resort and tourist potential, to which effective development can bring a real economic benefit. For this purpose, it is necessary to form of system concept for the development of such systems, which are integral part of the economic transformations. Transformational processes are displayed in shifts in consumption, requirements and ways of their satisfaction. The market environment needs are in the form of demand and ways to meet them mediated by the market in the form of market expectations. They are important for forecasting the behavior of the market of resort and tourist products. As a result, of research was the model of dynamics of trust of the market to transformational changes of the resort and tourist sphere of Ukraine is constructed. Scenarios of change of level of trust at various values of parameters, which correspond to stages of development of transformational economy are received.</p>
      </abstract>
      <kwd-group>
        <kwd>resort-tourist market</kwd>
        <kwd>modeling</kwd>
        <kwd>model of dynamics of trust of the market</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>In the modern world economy resort-recreation and tourism activity is one of highly
profitable spheres, as well as one of the most dynamically developing. For many
countries this is not only constantly growing a source of financial revenues, but also
due to attraction of millions of tourists as a source of infrastructure development for the
territories, creating additional jobs.</p>
      <p>Ukraine has a powerful resort-recreation and tourist potential, the effective use of
which can ensure not only full satisfaction of the needs of the population in such
services, but also bring real economic benefits. Therefore resort-recreation and tourism
spheres in the process of market transformation of the economy should take one of the
leading places in the structure of the economic complex. Such a perspective for national
resort and tourist complexes is intended to provide appropriate methodologies for
systemic economic transformations, based on modern concepts of research of complex
economic systems and, first of all, by methods of system research and
economicmathematical modeling.</p>
      <p>
        The problem of the transformation of economic systems has deep grounds in the
problem of general economic theory. The problems of the formation, development, and
change of economic systems, which were investigated in the works of many scientists
throughout the long period of time, are directly related to it. In the process of the research
of economic transformation of resort and tourist systems the authors relied on the
theoretical developments which are contained in works of М. Bokov [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ],
M. Amirkhanov [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], A. William [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], E. Inskeep [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], A. Shekhovtseva [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and other
scientists [
        <xref ref-type="bibr" rid="ref6 ref7 ref8">6-8</xref>
        ].
      </p>
      <p>
        Researches of accounting for expectations in the economic systems is presented in the
writings of J. Keynes [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] and J. Hicks [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], who emphasized that expectations are part
of the system, while fulfilling the role of the exogenous factor, but not the element
which is formed in the analyzed process.
      </p>
      <p>
        Historically the first researcher who formulated the hypotheses underlying the theory
of rational expectations was J. Muth [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. His idea was picked up and applied to a large
range of economic models by R. Lucas. [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] As a result of it, the principle of rational
expectations has been recognized as the theoretical basis for new research, including
surveys of the resort and tourist economics.
2
      </p>
      <p>Methodological Aspect of a Research of Expectations of the
Resort-Tourist Market
Economic transformations of the resort and tourist economy represent large-scale and
deep transformations of a system character. They have their own regularities, the
detection of which allows not only to estimate their current state, but also to forecast
trends in development. Transformation processes are reflected in shifts in consumption,
needs and ways to meet them. In a market environment the needs are in the form of
demand, and the ways of their satisfaction are mediated by the market in the form of
market expectations.</p>
      <p>
        The concept of “market expectation” was formed on the basis of provisions of
probability theory and psychology. It is important for forecasting market behavior, and,
consequently, the functioning of the transformational economy. As G. Hodgson [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]
noted, the effectiveness of influence of expectations in transformational economies is
not lower than in the developed and stable economies. Thus, there is a need of
justification of content of expectations, explanations their role as ekzo- and endogenous
factors of the economic system and development of the corresponding models of
forecasting, in particular for the market of resort and tourist products. Expectations of
economic entities are usually not studied as separate objects of analysis, but they are
investigated in the form of “embedding” expectations in the transformational
functioning of economic systems.
      </p>
      <p>
        In the modern economic theory [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] allocate two types of expectations: “ex post”
and “ex ante”. Expectation of “ex post” is the assessment given by the subjects of the
economy after the completion of the considered process. They are accounted for mainly
in empirical verification of theoretical concepts or in calculating the actual indicators
of economic development based on the system of national account. Expectation of “ex
ante” is future plans and intentions of economic subjects, which define the nature of the
decisions which they make. The formation of economic subjects of rational
expectations, “ex ante” is of direct interest to the analysis of the transformational
processes in the resort-tourism economy as a mechanism for market self-regulation.
      </p>
      <p>The theory of expectations allocates three types of expectations of “ex ante”: static,
adaptive, rational.</p>
      <p>Static expectations assume that in the future economic subjects are guided by the
same parameters of an environment, which take place today. That is the simplest rule
in decision-making for economic subjects will work this year as and in previous.</p>
      <p>According to the theory of adaptive expectations, economic subjects build the
behavior on the basis of past experience, but adjust the expectations, first, taking into
account wrong estimates of the past, secondly, taking into account obvious changes of
an economic environment.</p>
      <p>Rational expectations provide that economic subjects form the plans and build the
behavior, proceeding from the analysis of all of information available at the moment.
Rationally acting economic subjects not only consider experience past mistakes, but
also look in the future. Making the decision, they rely on own representations
concerning model of management of economy and attract all available information on
the expected events which can affect an economic environment. As a result it turns out
that subjects, forming the forecasts, do it in the same way, as well as the market, that
is, without allowing systematic mistakes.</p>
      <p>
        One of the most important problems of the transformational economy is the level of
confidence in transformational changes by economic agents, since, in case of its
absence or low level, they can not achieve their goals [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. According to the ideas of a
number of researchers [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], the market system works to a large extent thanks to trust.
In the act of trust, the complexity of the future is minimized. Trusting, the agent acts as
if the future provides only strictly certain variants of the development of events.
Rational trust: people use their available information to make the forecast, and then on
its basis to make a decision. As the analysis of past experience provides risk assessment,
formation of expectations generation and focus on future results, allocated strategic or
based on knowledge trust (strategic or knowledge based trust) [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. In this case the
decision on trust is taken in the same way as the investment scheme: the efficiency of
the decision on trust is determined in the long term by the results of the implementation
of economic transformations.
      </p>
      <p>
        The institute of trust helps subjects of the market to determine institutionally market
space that in turn reduces uncertainty level. The level of credibility depends on such
circumstances as:
─ accounting of economic transformations by economic agents of past experience in
sectors of economy;
─ stability of national economy;
─ international experience of development of economic systems, including, systems of
a certain orientation [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ].
      </p>
      <p>At the same time it should be noted that the inefficiency of transformational strategy is
connected not with a set of these or those tools, and it is caused by reaction of economic
agents to the expected results from these economic transformations. Thus, the trust can
be considered as one of the built-in regulating mechanisms of the market and economy
in general. It is one of the most important determinants of distribution of investments
and consumer demand.</p>
      <p>In the relation to the market of resort-recreation products, we will consider a
hypothesis of imperfection of information, which consists in recognition of differences
in knowledge of agents of price dynamics depending on degree consumption of the
corresponding resort products by them. It is supposed that agents are better informed
on the prices on resort-recreation products, which they make and sell, than about the
prices of other products which they buy. Let’s show it on the basis of use “island”
models.</p>
      <p>The market of each individual resort-recreation product is similar to the island. Each
agent, like an islander, does not have complete information about what is happening on
other islands (or markets). Therefore, when there is an increase in prices for a
resortrecreation product, he does not know exactly the reason for it.</p>
      <p>He does not know if there is an increase in prices as a result of increased demand or
an increase in the amount of money in circulation. Agents and firms operating in
accordance with the concept of rational expectations regard the increase in prices for
the resort-recreation market partly as a consequence of overall price increases, and
partly as a result of the change in the relative price of the resort-recreation product due
to its innovation.</p>
      <p>Respectively, even if advance in price of a product it is quite caused by the general
rise in prices, then rationally conceiving agent all the same assumes that the relative
price of a resort product also grew by a certain size. As a result it expands production,
other islanders - agents join it, and in resort-recreation economy rise is observed.</p>
      <p>Thus, application of the theory of rational expectations provides attraction of the
mechanism of market self-regulation of economy in resort-recreation economy. During
the competition all levers of self-regulation are put in action, it is effective
selfregulation a resort-recreation system and providing its balance.</p>
      <p>Rational expectations promote clearing of the market of resort-recreation products,
its reduction to a state when stability of recreational economy as economic agents can
react more flexibly to any deviations of an economic environment is provided, work
according to the principles of optimization, being guided by real economic indicators
and results.
3</p>
    </sec>
    <sec id="sec-2">
      <title>Model Expectations of Resort-Tourist Market</title>
      <p>
        An important role in the dynamics of confidence level is played by both the process of
natural self-development of trust and the crisis of confidence. Natural self-development
of trust arises in the case when the party fulfills its obligations, confidence in it
increases; as a consequence, either the demand for the product increases or investment
increases. Confidence crisis means a situation in which a party fails to fulfill its
obligations; as a result, the trust in it falls sharply [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. For the analysis of these
processes, we will construct model of the dynamics of trust in the resort and tourist
market by transformational changes of the resort and tourism sphere of activity.
      </p>
      <p>Let X be the amount of free capital that can be provided to companies resort and
tourism spherec. According to the principle of natural increase of trust, while
companies carry out transformation changes in order to produce an innovative resort and
tourist product, trust in them is growing. Let Y be the amount of funds for those companies
that do not transform changes. Let’s describe the dynamics of the change of these
variables with the help of the following model
(1)
dX
dt
dY
dt
 1 X  2 XY
 1Y   2 XY
The parameter  reflects the growth rate to the companies in the tourist and tourist
spherec depending on already carried out economic transformations. The value of the
parameter  depends on the psychological factors. In particular, the index can be used
to determine this parameter: investor confidence indices, consumer confidence indices,
consumer expectations indices, consumer confidence indices, etc. In essence, this
parameter reflects the trust of a large number of investors. Obviously, the parameter 
tends to increase in the case of the effectiveness of transformational changes and to
decrease in the absence of them.</p>
      <p>The parameter 2 reflects the intensity of loan of means by inefficient companies,
that is such which do not make transformational changes. Gain of loans proportional as
quantity Y, since, the larger the resort company, the more it needs the funds to function,
and the quantity X – since, the more free capital in the market, the greater the potential
for growth of companies that carry out economic transformations.</p>
      <p>The parameter  reflects the speed of insolvency of inefficient resort and tourism
companies without external financing. As a parameter estimate, you can use the ratio
of the following form: “(company’s annual expenses - annual revenue) / (company’s
assets)”. For small and medium resort and tourism businesses it makes sense to consider
the parameter  close to zero or even in the area of small negative values. The
considerable share of growth in small and medium businesses is possible, precisely
because it is initially a great deal of trust in it, and it grows on this trust until it becomes
ineffective.</p>
      <p>The parameter 2 reflects the speed of growth in the volume of inefficient
resorttourism companies by attracting investment. The increase is proportional as quantity Y,
since, the larger the resort company, the more money it can use to grow, and – because
X, the more capital on the market, the easier it is to get investment funds.</p>
    </sec>
    <sec id="sec-3">
      <title>Simulation Results</title>
      <p>For computer simulation used software package MathCad. Let’s consider different
scenarios, obtained as a result of modeling of dynamics of the level of trust at different
values of parameters.</p>
      <p>Scenario I. Incomplete or ineffective economic transformations in resort and tourist
companies.</p>
      <p>One scenario obtained when modeling the level of market confidence was a scenario,
corresponding to the situation of incomplete or ineffective economic transformations
in resort and recreation companies (Fig. 1).
As can be seen from Fig. 1, the transformational changes lead to growth of trust of the
market, which, accordingly, involves the flow of free capital into the resort and tourist
market. Thus, an increase in the parameter X means the period of market growth. To a
certain amount of free capital the market is successfully developing, which makes it
possible to talk about the transformational rate of growth of resort tourism companies.
At some stage (moment of time t=28), between peak X and crossing that goes up Y the
inefficient companies begin to be formed.</p>
      <p>Starting from this moment, the trust of the market falls, and the amount of free capital
is decreasing. However, due to the inertia of the economy, this fact is not fixed by
indicators, since a significant amount of capital is invested in resort and tourist
companies, and in general the capitalization of the resort and tourism sphere grows
(growth of value Y). Then comes the situation when the volume of the capital of
inefficient companies reaches its peak (peak Y). This happens in the absence of new
investments in these companies due to lack of trust. Due to the high importance of
inefficiency (=0.8), resort-tourism companies are rapidly losing profit and are forced
to undergo economic transformation. Thus, a new transformation cycle begins.</p>
      <p>Scenario II. The growth of completed economic transformations in resort and tourist
companies.</p>
      <p>Another scenario obtained when modeling trust of the market was a scenario,
corresponding to the situation of the growth of the number of completed economic
transformations in resort and tourist companies (Fig. 2).
The scenario is presented on Fig. 2 constructed on a basis the assumption that the
volume of investment into ineffective resort-tourism companies will decrease in
connection with reduction of trust of the market (=0.1).</p>
      <p>The completion of economic transformations in resort and tourist companies leads
to growth of trust of the market and, consequently, an increase in free capital in this
market. If, for whatever reason, economic transformations do not fully achieve their
goals, then the market is seen as an ineffectiveness of their work. At the same time, the
level of trust does not decrease.</p>
      <p>Scenario ІІІ. Regulations of the market in the conditions of transformational
economy.</p>
      <p>The scenario presented in Fig. 3 shows a high level of market confidence, which,
accordingly, leads to a much larger accumulation of free capital (compared to scenario
1). For modeling of such scenario of trust resort and tourist the market we will reduce
some parameters of model. On Fig. 3 the scenario of the regulated market in the
conditions of transformational economy is shown.</p>
      <p>In the conditions of transformational economy, market regulators seek not to allow
a market collapse. It is reached in the different ways, but with one purpose: to prevent
the emergence of obviously inefficient resort-tourism companies by reducing the
opportunities for attracting investment in such companies. For modeling of such
scenario of trust in the resort-tourism market we will reduce some parameters of the
model. In Fig. 3 shows the scenario of a regulated market in a transformational
economy (2=0.05, =0.1, 2=0.05).
It should be noted that in case of application to inefficient resort travel agencies
decrease in trust, an opportunity to distance the beginning of the following
transformational cycle exists the regulator of the market of the corresponding
procedures.</p>
      <p>The scenario is presented in Fig. 3 shows a high level of market confidence, which,
accordingly, leads to a much larger accumulation of free capital (compared to
scenario I). However, in this case, starting with a certain amount of free capital (the
moment of time t=30), there is the emergence and development of inefficient resort and
tourism companies. The emergence of such companies is mainly due to the
incompleteness of economic transformations or the failure to achieve the objectives of
transformational changes. It should be noted that if applied to ineffective resort and
tourism companies regulating the market for appropriate procedures for reducing
confidence, there is the possibility of delaying the start of the next transformation cycle.</p>
      <p>Scenario IV. Weakly regulated or innovative market.</p>
      <p>To one more scenario received when modeling trust of the market was the scenario
corresponding to the situation of completing economic transformations in resort and
tourist companies and transition to release of innovative resort and tourist products
(Fig. 4).</p>
      <p>The indicated scenario reflects the level of trust of the weakly regulated or innovative
market. This market is characterized by a high intensity of loan of means by the
inefficient companies (2=0.8), growth of volume of their means by attraction of
investments an (2=0.8), a large inefficiency of inefficiency (1=0.5), which constantly
enters new investors (1=0.5). The analysis of the scenario demonstrates the frequent
change in market advantages at the expense of the high “growth rate of trust”, as well
as the fact that the amplitude of the cyclical changes for X and Y is low. Consequently,
the level of market trust is distributed between transformational and inefficient resort
and tourism companies and there is no accumulation of free capital in certain
companies.
The complex analysis of the role and place of resort-recreations in the development of
the national economy and trends in changing their state in the process of European
integration of the Ukrainian economy has been carried out. It has been shown that, as
in many developed countries, this activity can be one of the most profitable and most
dynamically developed spheres of the national economy. It also to be among the
primary budget forming branches in case of transformation of management of
economic processes on the basis of modern European paradigms and modern tools of
their analysis.</p>
      <p>An analysis of the current state and trends in the development of the world and
domestic resort-recreation sphere has made it possible to conclude that the management
of the economic development of the resort-recreation sphere in the present conditions
should be based on the consideration of the nonlinear, stochastic nature of the flow of
economic processes, both external and internal environment, inherent in the European.
It is advisable to research these processes on the basis of innovation activity. It allows
researching the development of complex socio-economic systems in the conditions of
high degree of uncertainty of the external environment; systems of universal, general
theoretical, specific principles and a set of basic concepts.</p>
      <p>Thus, the analysis of the results of the modeling of the dynamics of confidence at
different values of the parameters allows us to conclude that the level of trust in
transformational changes by economic agents is one of the most important parameters
for forecasting the behavior of the market, and, consequently, the functioning of the
transformational economy as a whole. Market expectations in the course of the
transformation cycle should be in line with the second scenario of the model, that is,
the growth of completed economic transformations in resort and tourist companies. In
this case, there is a significant increase in free capital in this market, which leads to an
increase in demand for resort and recreational products.</p>
    </sec>
  </body>
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