Global J. Environ. Sci. Manage. 6(4): 481-496, Autumn 2020
Global Journal of Environmental Science and Management (GJESM)
Homepage: https://www.gjesm.net/
ORIGINAL RESEARCH PAPER
Impact of forced migration on the sustainable development of rural territories
V. Shcherbak1*, I. Bryzhan2, V. Chevhanova3, L. Svistun3, О. Hryhoryeva3
1Department of Entrepreneurship and Business, Kyiv National University of Technologies and Design, Kyiv, Ukraine 2Office of the Project, Integrated Development in Ukraine, Poltava, Ukraine 3National University, Yuri Kondratyuk Poltava Polytechnic, Poltava, Ukraine
ARTICLE INFO ABSTRACT This study provides a comprehensive scientific analysis of contemporary problems Article History: Received 05 February 2020 resulted from the forced migration of the Ukrainian population and its impact on Revised 24 April 2020 the sustainable development of 47 host communities of Poltava region. By means Accepted 25 May 2020 of cluster analysis 4 clusters of 26 rural territories were identified. They differ in the size of local budgets and the involvement level of forcedly displaced population into Keywords: the local economy. Factor analysis showed that the involvement level of forcedly Cluster analysis displaced population in the region’s economy is determined by 2 groups according Local community to 10 indicators. 8 indicators of the first factor determine 2/3 of the dispersion Refugees of refugees’ impact on rural economy. The first factor reduces the gross regional Rural resources product by 61.75%. The indicators of the second factor shows a positive impact and Socio-economic mechanism determines 15% of the dispersion. The use of game theory to identify conflicts of interest between refugees and host communities was justified. The reasonability to use the taxonomy method to construct a map of positioning rural areas according to the size of local budgets and the degree of integration of refugees is justified. The use of the created map identified the “growth points” in particular clusters. As a result of the implementation of the proposed conflict resolution mechanism between refugees and host communities, the budget of the rural areas of the first cluster increased by 18%, the second cluster by 14.5%, the third cluster by 13%, the fourth by 8%, refugee participation by 30%.
DOI: 10.22034/gjesm.2020.04.05 ©2020 GJESM. All rights reserved.
NUMBER OF REFERENCES NUMBER OF FIGURES NUMBER OF TABLES 39 9 5
*Corresponding Author: Email: [email protected] Phone: +38(099) 9687135 Fax: +38044-280 05 12 Note: Discussion period for this manuscript open until January 1, 2021 on GJESM website at the “Show Article. V. Shcherbak et al.
INTRODUCTION technical development and globalization (Adamson et al., Important factors in the achievement of a 2019). Sustainable development of the world’s sustainable socio-economic development of any economy is manifested in the decolonization, country include demographics and the quality of world’s territory reconstruction (Demirdjian, 2005; human resources potential of the rural areas. Most Panizzon et al., 2019), strengthening of social capital of the world’s population resides in rural areas. (Arango, 2000) and capitalization of social processes Migration processes have always played a decisive (Simianescu et al., 2017). Any social and political role in the human development, having an influence destructive process serves as a catalyst for such on the creation of states and cities, formation of cycles and demonstrates the degree of responsibility races, ethnicities and nations (Demirdjian, 2005; of relations between the state and society (Danko Panizzon et al., 2019). The history of civilization et al., 2020; Sardak et al., 2018). Examples of such was marked by the great migration of peoples and destructive processes include wars, political and great geographical discoveries. For example, USA, social revolutions (Bucholski, 2015), terrorism, AIDS, Canada and Australia are migrant based countries and natural disasters (Petrushenko et al., 2014). (Bil et al., 2018). Today, over 190 million people The following socio-political factors determine (3% of the Earth’s population) do not live in their current migration processes in Ukraine countries of origin. There are several social reasons § Geo-economic factors are determined by the used for the migration, particularly economic, political, resources and location. They are created artificially: religious, national and environmental (Greussing relevant financial flows, agglomeration effect, et al., 2017). From this perspective, migration human capital (Sardak et al., 2018), infrastructure, flows can be classified according to the term of type of economy and management (Sassen, 2005). displacement (seasonal, temporary, permanent, The reasons that force people to migrate under the or one-way) (Aleshkovski, 2017), size (single and influence of the above mentioned factors are the numerous); range (intercontinental and inland) search of self-protection, self-fulfillment, primary (Castles, 2002); directions (external and internal); or extra income and comfort (Zhitin et al., 2016); motives (forced and voluntary) (Arandarenko et § Social factors: social stratification of population, al., 2020); organization principles (organized and interest groups, social roles, priority and status initiative) (Adamson, 2006); legal status (legal and in the society, social codes (Castles, 2002), illegal) (Nitschke, 2019). The reasons and forms of intellectual and cultural resources of the nation, migration processes in Ukraine today are mostly maturity of territorial communities (Morales et conditioned by the war conflict (Balueva et al., 2018). al., 2015). Under the influence of these factors, Social reality of the hybrid war in Ukraine defines people migrate in search of understanding and the necessity to study migration processes within public support in order to integrate into the local the Ukrainian society (Stukalo et al., 2018) and communities (Bezugly et al., 2019); the impact of forced migration on the economy of § Political and information factors: governmental different regions (Shymanska et al., 2017). It is rather organization and the development of civil society problematic to analyze the forced displacement (Betts, 2012; Bisong, 2019), transparency of and its impact on sustainable development of rural elections and justice system, maturity of the areas (Kolodiziev et al., 2018). This is conditioned political structure (Bank, 2015); the extent to which by the undefined legal status of forcedly displaced the political rights and freedoms of citizens are population (Arakelova, 2017), the ongoing military protected (Lavenex, 2019); conflict in Donbas since 2014 (Pogorelov et al., 2017), § Psychological factors: values, principles, motivation the ineffective Anti-Terrorist Operation (hereinafter of the displaced population (Arcarazo et al., 2015). - ATO) (Pylypenko, 2018), the lack of a state policy At present time, there are 3 million refugees in on the protection of migrants’ rights (Vasyltsiv et Ukraine (Roskladka et al., 2020). Since the beginning al., 2019). Military conflicts constantly develop in of the military conflict in the eastern Ukraine (2014), different regions all over the world (Bucholski, 2015). half of Donbas residents have become refugees The recent trend in the cycles human civilization (Stukalo et al., 2018). According to the international development includes bipolarity, strengthening of organizations (Arakelova, 2017), the non-Ukrainian
482 Global J. Environ. Sci. Manage., 6(4): 481-496, Autumn 2020 territories are inhabited by 2.7 million people. They helped to create a community-based development left their homes in 2014–2019 and moved either plan with the involvement of FDP in rural economy. to other regions of Ukraine (Bezugly et al., 2019) This plan took into account the interests of both FDP or to Russia. More than 1 million 780 thousand and host communities. The concept of the applied inhabitants of Donetsk, Lugansk regions and Crimea methods is as follows. The purpose of factor analysis have become forcedly displaced population (Bogush, is to, identify indicators that describe forced migration 2018). All these displacements of Ukrainian citizens and generalize the characteristics of these indicators. have an impact on the economic status of the The generalizing characteristics of the indicators is territorial communities where they currently reside called a factor. The initial information was obtained (Drakokhrust et al., 2019). A literature review has from the Chief Statistics Department of Poltava shown that the structure of world migrations has region, the Unified Information FDP Database, the changed in recent years. In low developed countries, State Employment Service of Poltava Region. The external and forced migration prevails. In Ukraine, indicators for the analysis were chosen through a forced internal migration has prevailed since 2014. survey of Heads of host communities, employment A large number of Ukrainian refugees put a strain in service specialists. Factor analysis was carried out social and economic terms on the host communities.. using the STATISTICA program. The methodology of There is also a need to study the possibility of their factor analysis is as follows: the main results of factor socio-economic integration into host communities. analysis are presented as a table of factor loadings. Research objective is to analyze the impact of forced The table includes: 1) number of rows equal to the migration on sustainable development of Ukrainian number of indicators, 2) number of columns equal rural areas. The study area of research is the level to the number of obtained factors. Factor loadings of rural social and economic development under are the correlation coefficients of indicators with the influence of forced migration. The objectives of factors. A positive sign of the factor loading indicates the study are 1) to analyze the status and dynamics a direct correlation of the indicator with the factor, of migration processes in Ukraine; 2) to study the while a negative sign indicates the opposite. Factor reasons and consequences of forced migration; 3) weights (factor scores) are quantitative values of to determine the impact of forced migration on connection of the selected factors with the object sustainable development of the host rural areas and under study. The object under study is the level of opportunities for their socio-economic integration. rural territory development (local budget size). The This study has been carried out in Poltava region of greater the factor weight, the stronger influence of Ukraine in 2020 on the basis of 2019 survey data. the factor on the value of the object under study. The cumulative percentage of dispersion shows how fully MATERIALS AND METHODS the phenomenon under study was described with the Four methods were used to determine the impact help of obtained factors. In general, the dependence of forced migration on sustainable development of the object under study on the factors is determined of rural areas, including integrated territorial using Eq. 1. communities. These methods include cluster n GDP³j= ∑ F (1) analysis, factor analysis, game theory and taxonomy j =1 method. The goal of factor analysis is to identify the most significant indicators of forced migration on the Where, GDPi is a gross domestic product of і-th level of economic development of rural and united rural area; Fj is the j factor; n is the number of factors Where, GDPi is a gross domestic product of і-th rural area; Fj is the j factor; n is the number of factors territorial communities (UTС). Cluster analysis was obtained. The value of each factor is determined obtained. The value of each factor is determined using Eq. 2. applied to classify rural and UTС groups according to using Eq. 2. their gross regional product, local budget revenues, and the number of forcedly displaced population (2) (2) (FDP) living and working within the community. The 𝑗𝑗 1 𝑖𝑖𝑖𝑖 𝑖𝑖𝑖𝑖 𝐹𝐹 = ⁄ 𝑗𝑗 ∑ 𝑎𝑎 × 𝑉𝑉𝑉𝑉𝑉𝑉 game theory identified the essence of the conflict of Where,𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸 Expl.Var. 𝑉𝑉𝑉𝑉𝑉𝑉 j is the factor scores j-th factor; aij Where, Expl.Varj is the factor scores j-th factor; aij is the factor loadings of the Varij indicator; Varij is the interests between FDP and rural areas and developed is the factor loadings of the Var indicator; Var is the ij-th ij ij the strategy of its resolution. The taxonomy method ij-th indicator.indicator.
The cluster analysis method was used to classify rural areas depending on the intensity of forced 483migration and the level of host communities development. The classification was done using the k-means method as follows: 1) many all elements of a vector space were divided into a predetermined number of clusters k; 2) the center of mass for each cluster obtained at the previous stage is recalculated at each iteration; 3) the algorithm ends when there is no change in the intra-cluster distance at any iteration. The calculation algorithm is to minimize the total quadratic deviation of cluster points from the centers of these clusters.
(3) 𝑘𝑘 2 𝑉𝑉 = ∑𝑖𝑖=1 ∑𝑥𝑥∈𝑆𝑆𝑖𝑖(𝑥𝑥 − 𝜇𝜇𝑖𝑖) Where, k is the number of clusters, Si is the obtained clusters, i=1.2,..., k; µi are the mass centers of all x vectors from the Si cluster. standard deviations (RMS) were calculated using the most significant indicators identified at the first stage (factor analysis). The game theory method was used at the third stage. The game theory is a mathematical theory of optimal behavior in a conflict situation. The subject of its study is a formalized model of conflict or the so-called "game". The main task of game theory is to determine the optimal strategies of behavior of participants. A conflict situation or a "conflict" is defined as the existing several opposite goals and strategies of participants to achieve these goals. In our case, the conflict is presented in the form of incompatibility of goals and opposing strategies to use the resources of host communities and refugees. The game theory method helped to identify conflicts of interest between FDP and rural areas and the UTC. Their conflict of interest is outlined as follows. The interest of rural areas and the UTC is the intention to obtain the maximum possible amount of regional gross product and revenues to the local budget at the lowest possible amount of welfare payment for the FDP living on this territory. That is, this problem can be solved using maximin. The FDP’s interest is the intention to minimize their contribution to the territory's economy while receiving the highest possible social benefits. Consequently, the solution to this problem is to implement a minimax principle.
Task 1 Task 2 f1(x) = x1 + x2 +…+ xn → max f2(у) = y1 + y2 +…+ ym → min a11x1 + a12x2 + …+ a1nxn ≤ 1 a11у1 + a12y2 + …+ am1ym ≤ 1 a21x1 + a22x2 + …+ a2nxn ≤ 1 a21y1 + a22y2 + …+ am2ym ≤ 1 am1x1 + am2x2 + …+ amnxn ≤ 1 a1ny1 + a2ny2 + …+ amnym ≤ 1 xi ≥ 0 yj ≥ 0 (i = 1, 2, …, n) (j = 1, 2, …, m) where f1 (x) is local budget revenues; where f2 (x) is the cost of social support for FDP; xj - contribution of the j-th category of FDP to local budget yi - social expenditures of the i-th territory for the revenues and i–th territory (j = 1, ... n) maintenance of the j-th category of FDP (i = 1, .., m).
In order to determine the optimal strategies for resolving conflicts of interest in particular rural areas and 4 Where, GDPi is a gross domestic product of і-th rural area; Fj is the j factor; n is the number of factors obtained. The value of each factor is determined using Eq. 2.
(2)
𝑗𝑗 1 𝑖𝑖𝑖𝑖 𝑖𝑖𝑖𝑖 𝐹𝐹 = ⁄𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸. 𝑉𝑉𝑉𝑉𝑉𝑉𝑗𝑗 ∑ 𝑎𝑎 × 𝑉𝑉𝑉𝑉𝑉𝑉 Where, Expl.Varj is the factor scores j-th factor; aij is the factor loadings of the Varij indicator; Varij is the ij-th indicator.
The cluster analysis method was used to classify rural areas depending on the intensity of forced migration and the level of host communities development. The classification was done using the k-means method as follows: 1) many all elements of a vector space were divided into a predetermined number of
Where, GDPi is a gross domestic product of і-th ruralclust area;ers k;Fj 2)is thethe jcenter factor; of n ismass the fornumber each ofcluster factors obtained at the previous stage is recalculated at each obtained. The value of each factor is determined usingiteration; Eq. 2. 3) the algorithm ends when there is no change in the intra-cluster distance at any iteration. The calculation algorithm is to minimize the total quadratic deviation of cluster points from the centers of these clusters (2) .
𝑗𝑗 1 𝑖𝑖𝑖𝑖 𝑖𝑖𝑖𝑖 𝐹𝐹 = ⁄𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸. 𝑉𝑉𝑉𝑉𝑉𝑉𝑗𝑗 ∑ 𝑎𝑎 × 𝑉𝑉𝑉𝑉𝑉𝑉 (3) Where, Expl.Varj is the factor scores j-th factor; aij is the factor loadings of the Varij indicator; Varij is the 𝑘𝑘 2 ij-th indicator. 𝑉𝑉 = ∑𝑖𝑖=1 ∑𝑥𝑥∈𝑆𝑆𝑖𝑖(𝑥𝑥 − 𝜇𝜇𝑖𝑖) Where, k is the number of clusters, Si is the obtained clusters, i=1.2,..., k; µi are the mass centers of all x The cluster analysis method was used to classifyvectors rural areas from thedepending Si cluster. on the intensity of forced migration and the level of host communities developmentstandard. The deviations classification (RMS) was were done calculatedusing the k -usingmeans the most significant indicators identified at the first method as follows: 1) many all elements of a vectorstage space (factor were divided analysis). into a predetermined number of clusters k; 2) the center of mass for each cluster obtainedThe game at thetheory previous method stage w asis recalculatedused at the atthird each stage. The game theory is a mathematical theory of iteration; 3) the algorithm ends when there is no changeoptimal in thebehavior intra-cluster in a conflict distance situation. at any iteration. The subject of its study is a formalized model of conflict or the The calculation algorithm is to minimize the total quadraticso-called deviation "game". ofThe cluster main pointstask of from game the theory centers is to determine the optimal strategies of behavior of of these clusters. participants. A conflict situation or a "conflict" is defined as the existing several opposite goals and strategies of participants to achieve these goals. In our case, the conflict is presented in the form of incompatibility (3) of goals and opposing strategies to use the resources of host communities and refugees. 𝑘𝑘 2 The game theory method helped to identify conflicts of interest between FDP and rural areas and the 𝑉𝑉 = ∑𝑖𝑖=1 ∑𝑥𝑥∈𝑆𝑆𝑖𝑖(𝑥𝑥 − 𝜇𝜇𝑖𝑖) Where, k is the number of clusters, Si is the obtainedUTC. clusters, Their conflicti=1.2,..., of k; interest µi are the is outlinedmass centers as follows of all .x The interest of rural areas and the UTC is the intention vectors from the Si cluster. to obtain the maximum possible amount of regional gross product and revenues to the local budget at standard deviations (RMS) were calculated using thethe mostlowest significant possible amountindicators of identifiedwelfare payment at the first for the FDP living on this territory. That is, this problem Wherestage, GDP (factori is aanalysis). gross domestic product of і-th ruralcan area; be solved Fj is the using j factor; maximin. n is The the FDP’snumber interest of factors is the intention to minimize their contribution to the obtained.The game The theoryvalue ofmethod each factorwas used is determined at the third using stage.territory's Eq. The 2. gameeconomy theory while is areceiving mathematical the highest theory possible of social benefits. Consequently, the solution to this The role of refugees in host communities optimal behavior in a conflict situation. The subjectproblem of its study is to is implement a formalized a minimax model of principle conflict .or the so-called "game". The main task of game theory is to determine (2) the optimal strategies of behavior of Theparticipants. cluster A analysis conflict methodsituation wasor a used"conflict" to is defined as the existingTask several 1 opposite goals and Task 2 classify rural areas depending on the intensity of 𝑗𝑗 strategies1 of participants𝑖𝑖𝑖𝑖 to 𝑖𝑖achieve𝑖𝑖 these goals. In ourf1(x) case, = x 1the + x conflict2 +…+ x nis → presented max in the form of f2(у) = y1 + y2 +…+ ym → min forced𝐹𝐹 = ⁄migration𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸. 𝑉𝑉𝑉𝑉𝑉𝑉 and𝑗𝑗 ∑ 𝑎𝑎the ×level𝑉𝑉𝑉𝑉𝑉𝑉 of host communities Whereincompatibility, Expl.Varj is of the goals factor and scoresopposing j-th strategies factor; aij to isuse the thea 11factorx resources1 + a 12loadingsx2 + of …+ host aof1n xcommunitiesthen ≤ 1Var ij indicator; and refugees. Varij is the a11у1 + a12y2 + …+ am1ym ≤ 1 development. The classification was done using the ij-thThe indicator game .theory method helped to identify conflicts of interest between FDP and rural areas and the k-means method as follows: 1) many all elements of a21x1 + a22x2 + …+ a2nxn ≤ 1 a21y1 + a22y2 + …+ am2ym ≤ 1 UTC. Their conflict of interest is outlined as follows. The interest of rural areas and the UTC is the intention a vector space were divided into a predetermined am1x1 + am2x2 + …+ amnxn ≤ 1 a1ny1 + a2ny2 + …+ amnym ≤ 1 to obtain the maximum possible amount of regional gross product and revenues to the local budget at numberThe cluster of clusters analysis k; 2) method the center was of massused forto eachclassify rurxali ≥ areas0 depending on the intensity of forced yj ≥ 0 the lowest possible amount of welfare payment for the FDP living on this territory. That is, this problem clustermigration obtained and the at the level previous of host stage communities is recalculated development (i =. The1, 2, classification …, n) was done using the k-means (j = 1, 2, …, m) can be solved using maximin. The FDP’s interest is the intention to minimize their contribution to the atmethod each iteration; as follows: 3) 1)the many algorithm all elements ends when of athere vector spacewhere f1were (x) is dividedlocal budget into revenues; a predetermined numberwhere of f2 (x) is the cost of social support for FDP; territory's economy while receiving the highest possible social benefits. Consequently, the solution to this isclust noers change k; 2) the in the center intra-cluster of mass distancefor each atcluster any obtainedxj - contribution at the ofprevious the j-th category stage isof FDPrecalculated to local budget at eachyi - social expenditures of the i-th territory for the problem is to implement a minimax principle. revenues and i–th territory (j = 1, ... n) maintenance of the j-th category of FDP (i = 1, .., m). iteration.iteration; 3) the algorithm ends when there is no change in the intra-cluster distance at any iteration. The calculation algorithm is to minimize the total The calculation algorithmTask is to 1 minimize the total quadratic deviation of clusterTask 2 points from the centers quadraticof these clusters deviation. of cluster points from the centers In order to determine the optimal strategies for resolving conflicts of interest in particular rural areas and of these f1(x)clusters. = x1 + x2 +…+ xn → max f2(у) = y1 + y2 +…+ ym → min 4 a11x1 + a12x2 + …+ a1nxn ≤ 1 a11у1 + a12y2 + …+ am1ym ≤ 1 a21x1 + a22x2 + …+ a2n x n ≤ 1 (3) a 21 y(3)1 + a22y2 + …+ am2ym ≤ 1 𝑘𝑘am1x1 + am2x2 + …+ 2amnxn ≤ 1 a1ny1 + a2ny2 + …+ amnym ≤ 1 𝑉𝑉 = ∑𝑖𝑖=1 ∑𝑥𝑥∈𝑆𝑆𝑖𝑖(𝑥𝑥 − 𝜇𝜇𝑖𝑖) WhereWhere,, xki ≥is 0k the is thenumber number of clusters, of clusters, Si is Sthei is obtainedthe clusters,yj ≥ i=0 1.2,..., k; µi are the mass centers of all x obtainedvectors (ifrom clusters, = 1, 2,the …, i=S n)i1.2,..., cluster. k; µi are the mass centers (j = 1, 2, …, m) of all x vectors from the S cluster. standardwhere deviationsf1 (x) is local budget (RMS)i revenues; were calculated using thewhere most f2 (x) significant is the cost of indicatorssocial support identifiedfor FDP; at the first xj - contribution of the j-th category of FDP to local budget yi - social expenditures of the i-th territory for the stagestandard (factor deviations analysis). (RMS) were calculated using the mostrevenues significant and i–th territory indicators (j = 1, identified ... n) at the first maintenance of the j-th category of FDP (i = 1, .., m). The game theory method was used at the third stage. The game theory is a mathematical theory of stage (factor analysis). optimal behavior in a conflict situation. The subject of its study is a formalized model of conflict or the TheIn order game to theory determine method the optimalwas used strategies at the third for resolvingIn conflictsorder to ofdetermine interest in the particular optimal rural strategies areas andfor stage.so-called The "game".game theory The ismain a mathematical task of game theory theory of is resolvingto determine conflicts the of optimal interest instrategies particular of ruralbehavior areas of 4 optimalparticipants. behavior A conflict in a conflict situation situation. or a "conflict" The subject is anddefined FDP, as the the maximin existing problem several has opposite been solved.goals and ofstrategies its study ofis aparticipants formalized modelto achieve of conflict these orgoals. the InAccording our case, to theit, the conflict first player is presented (maximization in the of formlocal of so-called “game”. The main task of game theory is FDP budget the revenues, maximin roblem minimization has been of solved.social costs ccording for FDP to it the irst layer maximi ation o local budget incompatibility of goals and opposing strategies to userevenues the resources minimi ation of host o social communities costs or FDP and maintenance refugees. chooses a strategy in accordance ith a to determine the optimal strategies of behavior of maintenance) chooses a strategy in accordance with The game theory method helped to identify conflictsmaxim of interestum rinci le between using . FDP . and rural areas and the participants. A conflict situation or a “conflict” is a maximum principle, using Eq. 4. UTC. Their conflict of interest is outlined as follows. The interest of rural areas and the UTC is the intention defined as the existing several opposite goals and to obtain the maximum possible amount of regionalFDP gross the maximin productn roblem nand revenueshasn been solved. to the ccording local tobudget it the irst at layer maximi ation o local budget strategies of participants to achieve these goals. revenues max pi min minimi (ai1хiation,a i2o хi ...socialain costsхi ) or FDP maintenance (4) chooses a strategy in accordance ith a i=1 i=1 i=1 Inthe our lowest case, possible the conflict amount is of presented welfare paymentin the form for maximthe FDPum rin livingci le on using this . territory. . That is, this problem The second layer minimi ation o contribution into the local budget revenues o rural areas ofcan incompatibility be solved using of maximin.goals and Theopposing FDP’s strategies interest is theThe intention second playerto minimize (minimization their contribution of contribution to the maximi ationn o socialn bene itsn chooses a strategy in accordance ith a minimax rinci le using . . toterritory's use the economy resources while of hostreceiving communities the highest andpossible intomax socialmin the( localbenefits.a х , budgeta х Consequently... a revenuesх ) , of t he rural solution areas, to this pi mi1 i i2mi in i m i=1 i=1 i=1 refugees.problem is to implement a minimax principle. maximizationmin pi max(a jof1 у jsocial,a j2benefits)у j ...a jn уchoosesj ) a strategy in The game theory method helped to identify Theaccordance second j layer=with1 a minimi minimaxj=1 ation principle,j=1 o contribution using Eq. in 5.to the local budget revenues o rural areas maximi ation o social bene its chooses a strategy in accordance ith a minimax rinci le using . . conflicts of interest between FDP and rural areas here xi is the robability o choosing the i th strategy o rural behavior local budget revenues yj is the Task 1 m m Taskm 2 robability o choosing the j-th strategy o FDP behavior social bene its . olution o this maximin t in and the UTC. Their conflict of interest is outlined as min pi max(a j1 у j ,a j2 у j ...a jn у j ) (5) f1(x) = x1 + x2 +…+ xn → max f2(у) = y1 + y2 +…+ ym → min follows. The interest of rural areas and the UTC is the challenge illj=1 allo j= 1to develo j=1 an o timal strategy to solve the con lict o interest or each rural area or a11x1 + a12x2 + …+ a1nxn ≤ 1 here xi isa the11у robability1 + a12y2 + o …+ choosing am1y mthe ≤ i 1th strategy o rural behavior local budget revenues yj is the community andx FDP. t ill also ta e into account thei interests o both arties. intention to obtain the maximum possible amount Where, i is the probabilityj- of choosing the -th a21x1 + a22x2 + …+ a2nxn ≤ 1 The robability taxonomya o 21 choosingy1 method + a22 ythe2 as + …+th used strategy am2 aty mthe o ≤ FDP1 ourth behavior stage. soc Thisial method bene its .allo s olution inding o this out maximin s atial t in ine uality o of regional gross product and revenues to the local challengestrategy illof rural allo behaviorto develo (localan o timal budget strategy revenues), to solve theyj con lict o interest or each rural area or FDP settlement and regional asymmetry o rural develo ment. The algorithm o taxonomic analysis budgetam1 x at1 + the am2 lowestx2 + …+ possible amnxn ≤ 1 amount of welfare communityis the probabilitya and1ny 1FDP. + a of 2n t illychoosing2 + also …+ ta e a themn intoy mj- th≤account 1strategy the interestsof FDP o both arties. paymentxi ≥ 0 for the FDP living on this territory. That is, containsThebehavior taxonomy the y (socialj ≥ method ollo ing0 benefits). as stages used at Solution ormationthe ourth ofstage.o thisthe This observation methodmaximin allo s matrix inding the out s atialmost signi icantine uality o indicators this problem(i = 1, 2, can…, n)be solved using maximin. The FDP’s determinedFDPtwin settlement challenge(j =at 1, thand 2,e willstage regional…, m) allow o actoasymmetry tor analysis develop o rural standardi ation an develo ment. optimal o The the algorithmmatrix element o taxonomic values analysis identi ication o interestwhere f1 is (x)the is intention local budget to revenues;minimize their contribution thecontainsstrategywhere vector f2 the to(x) etalon solveis ollo ing the thecostdetermination stages conflictof social ormation supportof o interest the foro distance theFDP;for observation each bet een rural matrix individual the observations most signi icant and indicatorsthe vector etalon toxj the - contribution territory’s ofeconomy the j-th categorywhile receiving of FDP to the local highest budget calculationdeterminedareayi - orsocial community at o expendituresth thee stage taxonomic o and acto of FDP.r develo mentanalysis the It willi-th standardi ation alsoterritory coe icient. take for into o the The matrix indicators element obtaine values d identi ication at the stage o o actor possiblerevenues social and i –benefits.th territory Consequently, (j = 1, ... n) the solution to analysistheaccountmaintenance vector are the etalon determined interestsof the determination j-th of category using both .o parties. othe f FDP. distance (i = 1, bet een .., m). individual observations and the vector etalon this problem is to implement a minimax principle. calculationThe taxonomy o the taxonomic method develo ment was used coe icient. at the fourth The indicators obtained at the stage o actor analysis are determined using . . In order to determine the optimal strategies for resolving conflicts of interest in particular rural areas and |х𝑖𝑖𝑖𝑖−х̂𝑗𝑗| . 4844х ̂𝑖𝑖𝑖𝑖 = |𝑚𝑚𝑚𝑚𝑚𝑚/𝑚𝑚𝑚𝑚𝑚𝑚х𝑗𝑗−х̂ 𝑗𝑗 | |х𝑖𝑖𝑖𝑖 −х̂𝑗𝑗| here are. the best or orst estimates or each indicator max/min x are the extremes o the indicators х ̂𝑖𝑖𝑖𝑖 = |𝑚𝑚𝑚𝑚𝑚𝑚/𝑚𝑚𝑚𝑚𝑚𝑚х𝑗𝑗−х̂𝑗𝑗| using . . here х̂𝑗𝑗are the best or orst estimates or each indicator max/min x are the extremes o the indicators using . . 𝑗𝑗 max/ minх̂ x =min x, если max/ minmin x x =min =mах x, еслиx, если . . |𝑚𝑚𝑚𝑚𝑚𝑚х𝑗𝑗 − х̂𝑗𝑗| > |𝑚𝑚𝑚𝑚𝑚𝑚х𝑗𝑗 − х̂𝑗𝑗| max/ min x =mах x, если . . . . |𝑚𝑚𝑚𝑚𝑚𝑚х𝑚𝑚𝑚𝑚𝑚𝑚𝑗𝑗 − х𝑗𝑗̂𝑗𝑗| >̂𝑗𝑗|𝑚𝑚𝑚𝑚𝑚𝑚х𝑗𝑗𝑚𝑚𝑚𝑚𝑚𝑚− х̂𝑗𝑗𝑗𝑗| ̂𝑗𝑗 To ran rural areas it is necessary. х − toх |determine≤ |. х the− х dimensional| vector using . . 𝑚𝑚𝑚𝑚𝑚𝑚х𝑗𝑗 − х̂𝑗𝑗| ≤ |𝑚𝑚𝑚𝑚𝑚𝑚х𝑗𝑗 − х̂𝑗𝑗| To ran rural areas it is necessary to determine the dimensional vector using . .