Journal of Environmental Treatment Techniques  
2020, Volume 8, Issue 1, Pages: 257-265  
J. Environ. Treat. Tech.  
ISSN: 2309-1185  
Journal weblink: ttp://www.jett.dormaj.com  
Local-Group Behavior of the Business Community  
and the Institutional Environment of the Region  
1*  
2
Andrey G. Tutygin , Lyudmila A. Chizhova  
1
PhD (Physics and Mathematics), Associate Professor, Head of the Laboratory of Modeling of Socio-Economic Systems, the Federal center for  
integrated Arctic research named after Academician N.P. Laverov, Russian Academy of Sciences, Arkhangelsk, Russia  
2
PhD (Econ.), Associate Professor, Senior Researcher of the Laboratory of Modeling of Socio-Economic Systems, the Federal center for integrated  
Arctic research named after Academician N.P. Laverov, Russian Academy of Sciences, Arkhangelsk, Russia  
Received: 22/08/2019  
Accepted: 26/11/2019  
Published: 20/02/2020  
Abstract  
The paper analyzes the problems of local-group behavior of business agents in the institutional environment of the region. As a  
research hypothesis, it is assumed that local groups of economic agents often form independent attitudes beyond the general trends of  
institutional nature, reacting to them in the mode of reflection. The study was carried out using the methods of historical, logical,  
structural analysis, system approach, organizational and mathematical models. The article considers the existing approaches to the  
concept of institutional environments of business, institutions, their functions and limitations, and establishes a fundamental  
difference between the external and institutional environments. Various issues related to the quality of institutions and factors of their  
impact on the business community of the region are discussed, in particular, the influence of these factors on the manifestations of  
competition and the shadow economy is noted. The main part of the study is devoted to the formation of local business communities,  
their interaction in the existing institutional conditions and constraints, as well as their identification in various systems of indicators.  
It is proposed to consider the individual groups of business agents localized on certain characteristics and criteria as “business  
populations”, the behavior of which is formed both at individual and group levels. At the same time, the problem of similarity of  
agents belonging to certain local groups is required to address by a model approach based on the use of different metrics and  
population classifications. The proposed approach is illustrated by a virtual example. As a result of creating an institutional graph, a  
second-level model for horizontal network cooperation for local groups of business agents can be developed in the future. The  
authors come to the reasoned opinion that local-group entrepreneurial behavior has independent categorical features, spiral character  
of development in the institutional environment and does not copy both the general trend of development of the whole community  
and the individual behavior of business agents. However, the latter has a certain influence on the formation of local groups’ behavior  
in the current conditions of institutional constraints.  
Keywords: Regional business community, institutional environment, business agents, local groups, behavior modeling  
1
economic stereotypes prevailing at that time (5). This forced  
1
Introduction  
us to turn to the works of the founders of behavioral  
economics (7, 8), as well as to get acquainted with the basics  
of agent-based models (9, 10, 11, 12, 13, 14) and to conduct a  
serious revision of methodological tools used in the studies  
The authors, together with colleagues, have been actively  
involved in the implementation of various projects in the  
field of entrepreneurship development, as well as studying  
the business community and its issues in the Northern regions  
of Russia. These studies often covered not only socially and  
economically accepted topics of a regional or investment  
nature (1, 2, 3, 4), but also various behavioral aspects (5, 6).  
At the same time, obtained model and expert assessments (6),  
the results of observations of the business community and its  
behavior, its reactions to various institutional changes and  
prohibitions often did not fit into the “Procrustean bed” of  
(
15).  
The problem discussed in this paper is that the dynamics  
of behavioral processes occurring in the business community  
is in systemic contradiction with the institutional  
environment, although this contradiction is often  
inconspicuous. In the context of territorial heterogeneity of  
the institutional environment in the regions of Russia there  
are various, including inefficient trajectories of behavior of  
business agents and their communities. This is particularly  
evident in regions with complex socio-economic and  
territorial conditions.  
Corresponding author: Andrey G. Tutygin, Russian  
Academy of Sciences, Arkhangelsk, Russia. E-mail:  
andgt64@yandex.ru  
2
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Journal of Environmental Treatment Techniques  
2020, Volume 8, Issue 1, Pages: 257-265  
The object of research is the regional business  
community. The subject of research is the behavior of  
business agents and their local groups in certain conditions  
and constraints of institutional environment of the region.  
The scientific value of the study lies in the reasonable  
conclusions obtained by the authors that local-group  
entrepreneurial behavior has independent categorical  
features, spiral character of development in the institutional  
environment and does not copy both the general trend of  
development of the whole community and the individual  
behavior of business agents.  
The relevance of the research issue is due to the fact that  
local groups of economic agents form independent behavioral  
attitudes beyond the general trends of institutional nature,  
reacting to them in the mode of reflection. In this regard, the  
researches aimed at studying the processes of formation of  
local business communities, interaction in the existing  
institutional conditions and constraints, identification in  
various systems of features are relevant.  
The third stage of the study was the search for solutions  
to two problems (localization of agents in groups and  
evaluation of relationships within groups and between  
groups) using methods of organizational and mathematical  
models. Historical and economic analysis of the development  
of domestic entrepreneurship allowed identifying the most  
important conditions for business development in Russia,  
drawing parallels between the historical reforms of the late  
XIX  early XX century and modern Russian programs of  
support and development of entrepreneurship. At the final  
stage, the analysis of foreign and domestic studies of group  
behavior, the methods of logical, structural and system  
analysis helped to formulate authors’ perspective on the  
local-group behavior of the business community, the  
institutional environment of the region; to summarize the  
results of all stages of the study and confirm the hypothesis.  
3
Results  
3
.1 Institutional environment of the region  
Novelty. The authors consider the individual groups of  
business agents localized according to certain criteria and  
characteristics as “business populations”, the behavior of  
which is formed both at individual and group levels. At the  
same time, the problem of similarity of agents belonging to  
certain local groups is required to address by a model  
approach based on the use of different metrics and population  
classifications. The article can be useful for economists,  
entrepreneurs and a wide range of people interested in the  
issues of behavioral economics, mathematical and economic  
modeling, and business development institutions.  
Formal and informal established norms of interaction  
between economic agents are common interpretation of  
institutions in a broad sense (16). However, the current  
terminology of this area of investigation is still in its  
formative stage and it is far from logical conclusion.  
Currently, there are several approaches to the definition of  
Institute” in both social and economic sciences. So, G.B.  
Kleiner understands the institution as a system of interrelated  
relatively stable (in relation to fluctuations in the behavior or  
interests of individual subjects and their groups), as well as  
continuing to operate for a significant period of time formal  
and informal rules governing decision-making, activities and  
interaction of socio-economic entities and their groups (17).  
Generalizing different points of view, it is possible to  
conclude that the concept of “institution” means rules,  
systems of rules, norms, restrictions, habits, customs,  
mentality, organization, balance, framework, etc.  
As a research hypothesis, it is assumed that local groups  
of economic agents often form independent attitudes beyond  
the general trends of institutional nature, reacting to them in  
the mode of reflection.  
2
Materials and methods  
The paper collected and systematized theoretical and  
Institutions perform different functions in the socio-  
economic system. For example, the following functions of  
the institutional environment are distinguished in the paper  
(18): transactional, stimulating, restrictive and behavioral.  
Each of these functions emphasizes only one side of  
qualitative determinacy of institutional environment. All  
functions are in a complex relationship with each other and  
with system-wide responsibilities, which leads to their  
contradiction, unity and interdependence in some situations.  
The effectiveness of functioning of business entities  
depends on the institutional environment, which is a system  
of legally fixed and informal rules that form the conditions of  
their activities. It should be noted that the institutional  
environment is perceived differently by entrepreneurs and  
non-entrepreneurs. In this regard, the results of the studies of  
I.A. Petrovskaya and V.A. Titov, who confirm the  
assumption of differences in the perception of institutional  
environment by these groups, and also assert differences in  
the values of individual levels, depending on entrepreneurial  
activity and presence of entrepreneurial intentions (19).  
Thus, within the framework of this study, the institutional  
environment will be understood as a system of restrictive  
conditions generated by various institutions in relation to the  
business community. These restrictions may be regulatory,  
practical material of domestic and foreign authors on the  
issues described above. The study was carried out in four  
stages:  
1
2
3
4
) Institutional environment of the region;  
) Business community and local groups;  
) Model cooperative network of local groups;  
)
Local-group behavior and institutional  
environment.  
The methods of dialectics, logical and system analysis are  
used in the research on the institutional environment of the  
region. The review of theoretical approaches to the concept  
of “Institute”, functions of institutions in the socio-economic  
system, the concept of institutional environment for the  
business community of the region.  
At the second stage, using the methods of logical and  
system analysis, the authors came to the conclusion that the  
business community of the region should be understood as a  
system of local groups and their communications under the  
influence of internal and external factors. An approach to the  
formation of local groups of entrepreneurs on the basis of the  
criterion of “proximity” of business agents’ profiles formed  
on a certain combination of parameters. The proposed  
approach is illustrated by a virtual example.  
2
58  
Journal of Environmental Treatment Techniques  
2020, Volume 8, Issue 1, Pages: 257-265  
administrative,  
infrastructural.  
territorial,  
socio-economic,  
and  
community and in interaction with the external environment,  
this approach requires a certain level of detail, in which the  
number of estimated influencing factors increases  
dramatically. Therefore, to identify and analyze any  
foreseeable set of factors becomes quite problematic. At the  
same time, localizing certain groups of business agents  
according to certain criteria, it is possible to consider them as  
certain “business population” whose behavior is formed both  
at the individual and group levels. Thus, we will understand  
the business community as a system of local groups and their  
communications.  
There is no doubt that the business community as a  
system category is not a homogeneous formation both on  
structural and process characteristics. By virtue of its  
openness and dynamism, the community, on the one hand, is  
in a state of continuous internal reformatting, on the other  
hand, it is highly exposed to external and institutional  
influences.  
As shown, in the work (24), the formation of the  
community of entrepreneurs depends significantly on socio-  
psychological aspects of individuals and their social maturity.  
The author draws attention to the significant correlation  
between the level of business development and the types of  
motives of intra-group integration, which is schematically  
presented in table 1. But by paying scrupulous attention to  
the fact that despite the initial systematization in table 1,  
there are a lot of blank fields. But this does not mean that, for  
example, a group of entrepreneurs united with protective  
goals cannot have an average or high level of business  
development, and all socially active entrepreneurs are  
successful businessmen everywhere. On the other hand, there  
is no contradiction with the results presented in (24).  
Therefore, “anomalous” cases outside general logic of table 1  
are of some interest. For example, business agents with a  
high and medium level of development, engaged in a certain  
economic niche, feeling a serious threat outside their local  
system, can unite in order to protect and confront it. Such  
phenomena can be observed quite often in the regions of  
Russia, for example, in connection with the emergence of  
large federal and transnational networks in the areas of trade,  
construction, transport, communications, housing and  
communal services, etc.  
It should also be noted that the degree of impact of  
institutional environment on business is inversely related to  
its size. Thus, in the studies of A.Yu. Kokovikhin and his  
colleagues (20), it is shown that the quality of the work of  
small-sized business institutions has a greater impact than  
that of medium-sized and large-scale business formats.  
Effective institutions contribute to economic growth by  
ensuring that the additional costs are significantly less than  
the potential benefits of business agents, and vice versa, the  
low efficiency of institutions leads to a decrease in business  
activity. N.Z. Solodilova, R.I. Malikov and K.E. Grishin note  
that for formal institutions efficiency is determined by the  
nature of their interpretation and application by economic  
agents in the process of interaction (21).  
Currently, there is a low quality of institutional support  
for business in most regions of Russia, as evidenced by the  
current trend of behavior of economic agents, based on  
unilateralism at the expense of other participants in economic  
interaction. Various forms of unfair competition and shadow  
economic activity lead to certain problems of partnership and  
socially responsible business relations in the Russian  
business environment (22). Therefore, the formation of the  
institutional environment of the region, as well as the  
institutional configuration of the regional system of  
entrepreneurship should be the object of management and  
application of targeted mechanisms of influence by various  
state and municipal authorities.  
The study (23) is of significant interest from the point of  
view of determining a sufficient degree of regulation of  
relations between institutions, in which the author proposes  
to determine this degree not by the number of institutions, but  
by the degree of development of economic, legal, social and  
political factors. In this case, the result of interaction of  
factors (institutions), that ultimately determine the economic,  
legal and socio-political behavior of economic entities, is the  
structure of the institutional graph.  
3
.2 Business community and local groups  
Business community as a first hypothesis can be  
considered as a kind of association of economic entities with  
certain connections between them. However, when  
considering certain processes that occur both in the  
Table 1: The correlation of motives of intra-group integration and business development (by E.V. Shvenk).  
Types of motives intra-group integration  
Association of  
Levels of business  
development  
representatives of  
socially responsible  
business  
Protective Association  
Cooperation  
Image Partnership  
Low level of affiliate  
behavior, active social  
position  
High  
Teamwork preference, high attention to reputation,  
tolerance  
Average or above  
Individualization, self-  
Low  
orientation, pragmatism,  
material and protective needs  
2
59  
Journal of Environmental Treatment Techniques  
2020, Volume 8, Issue 1, Pages: 257-265  
It should be noted that according to the survey conducted  
in May 2018 by the Analytical center of the National Agency  
for financial research, the lifetime of business in Russia  
averages 4.8 years for individual entrepreneurs and 5.8 years  
for legal entities. At the same time, 53% of businesses for  
individual entrepreneurs and 39% for legal entities are closed  
under the age of 3 (25).  
The defensive mechanism of the business community  
may also arise for reasons of administrative and fiscal nature:  
an increase in the tax burden, carrying out unpopular  
administrative reforms, the introduction of certain restrictive  
measures and sanctions. By the way, the latter often have a  
pronounced institutional character. As for image partnership  
or socially active position, they can also be forced for a  
number of reasons, dictated by certain political, religious,  
ethnic and other motives.  
It is obvious that life is much more diverse and  
multidimensional than formalized statistical dependencies.  
The formation, even if virtual, of different business  
communities and groups naturally leads to the question of  
proximity or significant differences between individual  
business entities in different groups and communities. At the  
same time, a model approach for the study of various  
connections, including causal nature, and dependencies, both  
direct and inverse, should be conceptually based on  
fundamental principles of system analysis, one of which is  
W.R. Ashby’s law of requisite variety (26). To describe such  
multivariate schemes, the methodology of a “morphological  
box” proposed by F. Zwicky (27) is used. Local groups will  
be formed on the basis of the criterion of “proximity” of  
business agent profiles, both individual and group, formed on  
a certain set of indicators. The fragment of the morphological  
matrix (two-dimensional “morphological box”) for the  
formation of such profiles is given in table 2.  
is defined on  , then for profiles  = (푥 , 푥 , … , 푥 ) and  =  
1
2
(푦 , 푦 , … , 푦 ), the “distance” can be expressed by the  
1
2
corresponding  
퐹(푚 (푥 , 푦 ), … , 푚 (푥 , 푦 )). If weight coefficients  (ꢀ =  
functional 휌(푋, 푌) =  
1
1
1
ꢁ,ꢂ, … , ꢃ) are assigned to the features, then 휌(푋, 푌) =  
푖ꢄ1  
∗ ∗  
푤 ∙ 푚 (푥 ,푦 ), where  is the metric value  
푖 푖 푖  
normalized by segment [0, 1]. It should be noted that for  
some specific targets the authors used p-metrics, Hamming  
and Mahalanobis distances (6). The latter seems in this case  
the most successful, since it takes into account the covariance  
of features. The criterion for significant differences of agents  
will be excess of a threshold value:  푋, 푌 > 휀.  
The proposed approach is illustrated by the following  
example (table 3), and the threshold will be  = 0,5.  
This assessment is often used as an “entry boundary” in the  
formation of various classes in fuzzy set theory (28). More  
generally, for such assessments, it is possible to use the mean  
value of the fuzzy number A, which is calculated by the  
formula:  
(
)
푎 휇(푎 )  
푖 푖  
푖ꢄ1  
휀(퐴) =  
휇(푎)  
푖ꢄ1  
i
where μ is the membership function of the fuzzy set, a is  
an interval established by expert determination. In our  
example 휌(푋, 푌) = 0,7ꢂ > 0,5, so the profiles of agents X  
and Y differ significantly and in this feature system they  
should be assigned to different local groups. It is possible to  
introduce into consideration the third agent Z with the  
following profile: territory  “rural area”, property status –  
mixed”, business – “public catering”, financial condition –  
satisfactory”, age of the owner 45 years. Then:  
1
푚 (푋, 푍) = 0,8; 푚 (푌, 푍) = 0;  
1
Thus, if n of different characteristics are taken into  
account in the matrix, the profile of each business agent can  
be formally represented by the vector (푥 , 푥 , … , 푥 ) ∈ 푆 ×  
2
푚 (푋, 푍) = 푚 (푌, 푍) = 0,5;  
2
3
푚 (푋, 푍) = 0; 푚 (푌, 푍) = 0,7;  
3
1
2
1
푚 (푋, 푍) = 0; 푚 (푌, 푍) = 0,ꢅ;  
푆 … × 푆 , where  is the set of values (not only numeric,  
4
4
2
푚 (푋, 푍) = 0; 푚 (푌, 푍) = 0,ꢇ.  
but also verbal) of the corresponding i trait. If the metric 푖  
Table 2: The fragment of the morphological matrix of business agent profiles  
Characteristic Value  
Indicators  
Territorial  
Small  
Medium-sized urban City of regional  
towns,  
working  
settlements  
Countryside, rural  
areas  
Megapolis  
agglomeration  
significance  
Property  
Business  
Financial condition  
Fixed assets are in ownership  
Industrial production  
Favorable  
Mixed  
Agriculture  
Fixed assets are under lease  
Construction  
Satisfactory  
Services  
Unstable  
Trade  
Age of owners  
Under 35 years  
From 36 to 50 years  
50+  
(beneficiaries)  
Table 3: An example of characteristics of business agent profiles  
Indicators  
Territorial  
Weigh w  
0.30  
0.25  
0.20  
Profile X  
Urban agglomeration  
Fixed assets are under lease  
Catering services  
Profile Y  
푚 (푋, 푌)  
0.8  
1.0  
0.7  
0.4  
Rural area  
Property  
Business  
Fixed assets are in ownership  
Agriculture  
Unstable  
50+  
Financial condition  
Age of owners  
0.15  
Satisfactory  
0.10  
Between 30 and 40 years of age  
0.3  
(beneficiaries)  
2
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Journal of Environmental Treatment Techniques  
2020, Volume 8, Issue 1, Pages: 257-265  
Table 4: Harrington’s verbal-numerical scale  
Description of gradations  
The numerical value  
Very high  
High  
Moderate  
Low  
0.80 … 1.00  
0.63 … 0.80  
0.37 … 0.63  
0.20 … 0.37  
0.00 … 0.20  
Very low  
The distance 휌(푋, 푍) = 0,ꢇ65, and 휌(푌, 푍) = 0,ꢇ55 are  
not significantly different, while the threshold criterion of Z  
close to X and to Y.  
additional features. It would be quite natural to use  
coefficients and indices of structural differences (V. M.  
Ryabtseva, A. Salai, K. Gateva, etc.) to estimate the  
differences that appear over time in the structure of local  
groups.  
It should be noted that the absence of any acceptable  
training samples, as well as information about the distribution  
law of corresponding random variables do not allow using  
the method of discriminant analysis in such cases. At the  
same time, numerical characteristics and scales are proposed  
to be selected either on the basis of available empirical  
information or using the methods of expert assessments (32,  
33).  
Further modeling procedure can be carried out by  
searching for pairs in the graph, the vertices of which  
correspond to the agents. In this case, local groups are formed  
around the most “distant” from each other vertices. The thus  
sorted agents form local groups, the “distances” between  
which can be considered as “distances” between the centers  
of groups.  
The profiles are shown in table 3, clearly describe the  
business agents that do not have explicit prerequisites for  
entry into the same local group, since they differ significantly  
in key characteristics, first of all, territorial, property and  
industry, although their proximity, not included in the list of  
elements, is possible, based on kinship, ethnic, mental,  
religious, etc. However, it is conceivable that there will be  
economic contacts between a local farmer (profile Y) and a  
foodservice entrepreneur (profile X), which may later form  
the basis of a sustainable cooperative relationship for their  
businesses. Moreover, experience has shown the emergence  
and successful development of communication between  
business agents belonging to various regional local groups; it  
quite often turns into a system of inter-group cooperative  
relations. In the future, the safety and sustainability of these  
links will largely depend on environmental factors,  
institutional conditions and constraints, as well as other  
external and internal causes.  
A meaningful example with agent Z means the presence  
of a tolerant (reflexive and symmetric, but not necessarily  
transitive) connection and the possibility of cooperation  
between local groups, which include agents X and Y. This  
situation often occurs, for example, in biological  
classification in the study of populations and can be solved  
by applying different similarity coefficients (Jaccard,  
Sorensen, Braun-Blanquet, Szymkiewicz-Simpson, Koch,  
etc.) (29). Thus, for two groups A and B, which include,  
respectively, the number of agents |퐴| and |퐵|, the most  
commonly used Jaccard index is calculated by the formula:  
|
퐴 ∩ 퐵|  
퐾 (퐴, 퐵) =  
|
퐴| + |퐵| − |퐴 ∩ 퐵|  
However, including the features of some studied  
communities, it is acceptable to use the coefficients of  
Szymkiewicz-Simpson KSS, Braun-Blanquet KBB and Ochiai  
O
K :  
|
퐴 ∩ 퐵|  
|퐴 ∩ 퐵|  
|퐴 ∩ 퐵|  
=
ꢈꢈ  
=
, ꢉꢉ  
=
, 푂  
푚ꢀꢃ(|퐴|, |퐵|)  
푚푎푥(|퐴|, |퐵|)  
|퐴| ∙ |퐵|  
Such well-known psychological phenomena of group  
behavior as “composition effect”, “leadership avoidance”,  
positive risk shift” by R. Stoner, “Groupthink” by I. Janis  
and a number of others (30, 31) require special attention and  
consideration. Returning to the above coefficients, it is  
possible to note that all of them take values from 0 to 1, and  
are equal to 1 if 퐴 = 퐵, and are equal to 0 when  ∩ 퐵 = ∅.  
Therefore, the degree of generality (similarity) of groups can  
be estimated, for example, on the Harrington’s scale (32)  
(
table 4).  
If the similarity of the two local groups is high enough,  
then there is a reason to combine them into a new group  ∪  
, the number of agents in which will be |(퐴 ∪ 퐵)\(퐴 ∩ 퐵)|.  
In the case of several local groups  , 퐴 , … , 퐴 , L. Koch’s  
3
.3 Modeling of cooperative network of local groups  
From the point of view of organizational modeling, the  
1
2
problem of forming a cooperative network includes two  
interrelated tasks:  
-
-
coefficient is similarly used which also takes values from 0 to  
1
and it is calculated by the formula:  
localization (distribution) of agents into groups;  
evaluation of relationships within groups and between  
groups.  
푖ꢄ1  
|퐴 | − |⋃ |  
푖ꢄ1  
퐾(퐴 , 퐴 , … , 퐴) =  
1
2
푚 − ꢁ) ∙ ꢋ⋃ ꢋ  
(
The solution of the first problem is based on the  
푖ꢄ1  
representation of a weighted directed graph G, the vertices of  
which correspond to the agents, and the arcs  to the relations  
between them, in the form of s disjoint subgraphs G :  
i
It makes sense to consider the above indicators not only  
in statics, but also in dynamics. At the same time, it may be  
necessary to expand the morphological matrix by adding  
2
52  
Journal of Environmental Treatment Techniques  
2020, Volume 8, Issue 1, Pages: 257-265  
퐺 = ⋃  , ⋂ 퐺 = ∅  
each G  
i
group, a local functional  (푥, 푦) is constructed,  
푖ꢄ1  
푖ꢄ1  
increasing monotonically for each of the variables.  (푥, 푦) =  
ꢍ  
1ꢔ훼ꢍ  
In the case of intersecting subgraphs (the groups  
considered above may have common agents), a cut of the  
digraph G should be made considering this circumstance,  
which will take the form:  
퐴 ∙ 푥 ∙ 푦  
, 0 ≤ ꢕ ≤ ꢁ can be used as such a functional.  
i
The positive parameter A represents the upper (possibly  
expert) assessment of the potential of i-group. Then the  
general functional of the system represented by the digraph G  
(
considering its cutting) can be represented as:  
퐺 = (⋃(퐺 \퐺 )) ∪ (⋃ (퐺 ∩ 퐺 ))  
푘≠푙  
1ꢔ훼ꢍ  
푓 (푥 , 푦 ) = ꢌ 퐴 ∙ ꢌ 푥푖푗  푦푖푗  
푖 푖푗 푖푗 푖  
퐹 = ꢌ  
Figure 1 shows how two intersecting components G  
i
and  
G
j
, produce three already disjoint components:  \퐺 ,  \  
퐺 и 퐺 ∩ 퐺 after cutting.  
Thus, to a certain extent, the problem of building an  
effective cooperative network can be considered as an  
optimization task with the functional F.  
At the same time, it should be noted that it is not always  
relevant to use real coordinates in such tasks. Thus, in the  
work (35), devoted to the modeling of individual and group  
behavior of subjects of mass communication, the authors  
proceed from the fact that the mental space has a non-  
Archimedean structure and, therefore, suggest the use of p-  
adic coordinate systems.  
In the general case, the cutting of a weighted digraph  
with the minimum connected subgraphs with constraints on  
the total weight of the vertices is performed as follows (34).  
The minimal connectivity of a subgraph is determined from  
inequalities:  
ꢍ  
ꢏ푑  
ꢎ (푢 + 푣 ) ≤ 퐿푖  
,
푖푗  
푖푗  
푖푗  
푖ꢄ1  
푗ꢄ1  
ꢍ  
When assessing intergroup relations, it is appropriate to  
use alternative forms of systems based on the principles of  
self-organization, adaptation, autonomy of individual  
components with “soft” links between them (36), but this  
discussion is beyond the scope of this work.  
ꢊ푖푛  
ꢊꢏꢓ  
ꢎ ꢒ ≤ 퐷  
푖푗 푖푗  
ꢐꢑ  
≤ ꢌ  
ꢐꢑ  
푖ꢄ1  
푗ꢄ1  
where 푖푗  {0, ꢁ}  Boolean variables, uij and vij  
respectively, the number of incoming and outgoing external  
arcs of the j-vertex of the subgraph G, J is the number of  
,
i
i
3.4 Local-group behavior and institutional environment  
The previous historical and economic analysis of the  
development of Russian entrepreneurship (37) revealed the  
main tendencies in the formation and development of the  
business community of the late XIX-early XX century. The  
most striking transformations of that historical period were  
the reforms of S.Yu. Witte, P.A. Stolypin and the New  
Economic Policy (NEP), whose analysis suggested that the  
ꢏ푑  
vertices,   a valid number of external arcs of the  
ꢊ푖푛 ꢊꢏꢓ  
and   minimum and maximum  
ꢐꢑ  
subgraph G  
i
, 퐷  
permissible total weight of the vertices of the i-subgraph; dij  
is the weight of j-vertex of the subgraph G. The structure of  
the cut digraph in the first approximation can be taken as a  
basis for the construction of a cooperative network. The  
relative autonomy of each component is achieved by a  
minimum number of external connections and influences.  
i
most  
important  
conditions  
for  
development  
of  
entrepreneurship in Russia were: the formation of individual  
property; the implementation of competent monetary and  
investment policy of the state; the creation of new  
organizational forms of management (trusts, syndicates,  
cooperatives).  
When evaluating intra-group relations within  
G
i
component, intra-group coordinates (xij,yij) are introduced for  
each j-vertex j, where xij is an assessment of potential of the j-  
agent, yij is an assessment of its contribution to some group  
result,  , 푦 ∈ [0,ꢁ]. These assessments can be obtained,  
푖푗 푖푗  
for example, using analytic hierarchy process, which is based  
on a pairwise comparison of all objects (32, 33). Next, for  
Figure 1: The digraph partition  
2
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2020, Volume 8, Issue 1, Pages: 257-265  
It is noteworthy that these conditions currently remain  
relevant to ensure the functioning and development of small  
and medium-sized businesses. But, their mechanical transfer  
to modern realities contains certain threats. Often, the  
initiators and developers of Russian programs of support and  
development of entrepreneurship at various federal, regional,  
municipal levels maintain those approaches and tools that  
have been successfully tested in past historical periods. For  
example, there are obvious parallels between the already  
mentioned “Stolypin” decree of November 9, 1906 and the  
law on the “Far Eastern hectare” that appeared 110 years  
later. Another example is the system of financial support for  
small businesses through specialized banks, credit  
reactions of agents that create models of expectation, models  
of action. Despite the fact that “institutions” force” subjects  
to behave uniformly and create repeated cycles of behavior in  
similar situations, applying punishment for deviant actions”  
(42), this uniformity is doubtful. The explanation for this is  
the fact that both the business community as a whole and its  
local groups and individual representatives should be  
considered in the active phase and not in the statics of  
existing institutions. Being active participants of system  
processes, business agents in many respects form institutional  
conditions in which then they also should function. Thus, it is  
necessary to talk here not about the cyclical nature of  
development, but about its spiral character. At the same time,  
the general behavioral trend of the business community is  
projected onto local groups mainly due to time-delayed  
reflection.  
Local groups consisting of individual business agents at  
certain stages of development can be considered as new  
agents of a higher level of self-organization with common  
trajectories of behavior, which corresponds to such a  
systemic pattern as emergence. This allows defining a new  
hierarchical level in the structure of behavioral attitudes of  
the business community, which, in turn, comes into systemic  
conflict with existing institutional constraints. To a large  
extent, this is due to advanced development of individual  
local subsystems of the business community in relation to  
more inert institutions.  
cooperatives  
and  
microfinance  
organizations  
of  
entrepreneurial type, which is being recreated in modern  
Russia, in many respects resembling its historical  
predecessors (37).  
Considering the fact that entrepreneurship in modern  
Russia as a legalized activity began to revive only in the late  
1980s, that is, three generations after the famous events of  
1917, it is possible to state the “break” of historical trends in  
the mentality of people. This fact had been decisive in  
developing the trajectories of the business community, its  
individual groups and representatives.  
In current researches, group behavior is understood as  
coordinated actions of a group of people aimed at preserving  
and increasing the total resources (material, economic and  
spiritual benefits) (38). The analysis of the works of different  
authors (39, 40, 41) makes it possible to conclude that the  
group behavior of business agents has its own distinctive  
features and does not repeat the individual behavior of  
entrepreneurs, but the latter has a certain influence on the  
formation of the group’s behavior. An individual business  
agent is instinctively predisposed to become a member of the  
group if he feels the reasons for group formation, for  
example, as noted above, in the presence of a serious external  
threat. The processes of group formation and opposition are  
examples of group behavior. The behavior of business  
entities or business agents is considered in the context of  
dynamics of relations that have developed in the business  
environment.  
4
Conclusion  
As a result of the study, the authors come to the  
following conclusions.  
1.  
The institutional environment, being, on the one hand, a  
part of the external environment to the business  
community, is not identical to it. In addition, the  
institutional environment is more inert than the local  
business communities, which generates certain systemic  
contradictions.  
2.  
None of the existing systematization of business  
communities does not fully reflect (and it is impossible to  
do) all the variety of factors involved in their formation.  
At the same time, the use of a local-group approach  
allows, at least in the first approximation, to simulate the  
behavior of business agents not on individual trajectories,  
but taking into account both their internal community and  
external conditions and constraints, including  
institutional nature.  
Under the trajectory of the business community’s  
behavior as a whole, and for its individual groups, the  
movement of agents in a certain space of factors and signs of  
different nature and originating from the external  
environment and formed within  
a certain system is  
understood. At the same time, influencing factors can have  
both general, global character, and local sources of origin.  
The territorial and historical features and mentality of the  
population occupy an important place here, which often have  
a pronounced regional character. These features include, first  
of all, the natural territorial localization of economic entities,  
corresponding to the nature of settlement, greatly  
undeveloped infrastructure and networks, as well as historical  
lifestyle and traditional activities.  
3
4
.
.
The localization approach to the formation of business  
communities does not imply their segregation, but on the  
contrary, can become the basis for the emergence of  
effective cooperation ties.  
From the point of view of the system-process approach,  
the local-group behavior of the business community is an  
independent category, has its own distinctive features, it  
does not copy both the general trend of development and  
the individual behavior of business agents. However, the  
latter has a certain influence on the formation of the  
behavior of local groups in the current conditions of  
institutional constraints.  
Agreeing in general with the opinion of O.S. Sukharev  
(
42) that “in order to understand the economic reality and  
trends in the development of national economies, it is  
necessary to know the laws of the functioning of basic  
institutions that structure information about the behavioral  
Direction for further research is the development of the  
trajectory of local business communities with the further  
2
63  
Journal of Environmental Treatment Techniques  
2020, Volume 8, Issue 1, Pages: 257-265  
possibility of its deployment in a horizontally-cooperated  
network of such local communities as new economic agents.  
This approach can be implemented within the framework of  
the concept of development of local economies as “points of  
growth” in the creation of a single cooperative network of  
groups of economic entities in the regions of Russia with  
complex economic and territorial conditions.  
11. Heath B. A Survey of Agent-Based Modeling Practices (January  
1
998 to July 2008) / B. Heath, R. Hill, F. Ciarallo, Journal of  
Artificial Societies and Social Simulation, 2009; 12 (4) 9:1-35.  
2. Heppenstall A. «Space, the Final Frontier»: How Good are  
Agent-based Models at Simulating Individuals and Space in  
Cities?, A. Heppenstall, N. Malleson, A.T. Crooks, Systems.  
1
2
016;4(1) URL: http://www.mdpi.com/2079-8954/4/1/9/pdf/  
13. Chekmareva EA. Overview of the Russian and Foreign  
Experience of Agent-Based Modeling of Complex Socio-  
Economic Systems of the Meso-Level. Economic and social  
changes: facts, trends, forecast. 2016(2):225-46.  
5
Acknowledgements  
The work was carried out in the framework of the  
1
4. Deissenberg C. EURACE: A massively parallel agent-based  
model of the European economy, C. Deissenberg, S. Hoog, H.  
Dawid, Applied Mathematics and Computation. 2008; 541-552.  
Project of the Russian Foundation for Basic Research No.17-  
2-29005-OGN “Comparative historical and economic  
1
analysis of business development in the difficult economic  
and territorial conditions of the Russian North” and with the  
support of the government of the Arkhangelsk region.  
15. Tutygin A.G., Chizhova L.A., Zelenina L.I., Tutygin R.A.  
Portfel’ zajmov kak ob’ekt agent-orientirovannogo  
modelirovanija [Loan Portfolio as an object of agent-oriented  
modeling], Economics and management 2016;5 (127):53-59.  
6. Tatarkin A.I., Kotlyarova S.N. Regional’nye instituty razvitija  
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