The article covers the problem of development of management methods of social and environmental risks of urbanized territories development. The main purpose of research is a development and scientific substantiation of economic-mathematical model, allowing to increase the efficiency of risk management of urban development and selection for the practical implementation of the most efficient investment and town-planning projects. During the investigation the conditions and possible consequences of socio-environmental violations of natural and antropogenic environment in urban areas were examined, the characteristics of the information base of the assessment and objects of socio-ecological and economic risks of urban development were identified, the peculiarities of the negative occurrences of the deterioration of environmental quality were distinguished. As a base for the source data array composition, the authors propose to use the common system of integral parameters of sustainable development and environmental indicators. As basic function of socio-ecological damage is proposed to use the direct dependency of the health level of the population from the most significant parameters of the environment, expressed in the econometric equation. For formal description of the dependency of economic-mathematical models, the whole complex of factors affecting the value of socio-ecological damage were studied, the drawbacks of simple regression models for description of interaction between the mentioned factors were examined, the assumption about the need to include in a formal description the factors of socio-economic risks of the interrelated equations system was made. The main result of the study is developed economic-mathematical model describing the process of formation of socio-environmental risk during implementation of investment and construction projects of urbanized territories development. The main conclusion of the study is the justification for the need to identify environmental and social risks and due to their presence the economic damage in the process of developing programmes and projects of urban territories development. The use of the proposed model assists with pictorial rendition of the correlation between environmental problems and development of city economy, as well as more objective substantiation of efficiency of investments in the urban environment development.

International experience demonstrates both the effectiveness and difficulties of using the mechanism of a public–private partnership (PPP) in solving socially significant problems of investment development of an innovative economy. The lack of tools to make an informed choice of the best PPP model in terms of the risks diversification is one of the significant problems of the predictive and analytical support of the relationship between business and government structures. The purpose of the study is to create and empirically test a multi-criteria modeling toolkit for the choice of the public–private partnership mechanism in relation to managing territorial sustainable development projects. Such problems as a structural representation of PPP risk factors and development of principles for their diversification, development of the algorithm and criteria for multi-criteria evaluation, testing of a multi-criteria model needed to be solved to achieve the research goal. The innovativeness of the author’s approach consists in substantiating the algorithm of the multi-criteria modeling for the choice of the public–private partnership mechanism in relation to managing sustainable development projects of the territory. Criteria for alternative PPP models evaluating have been developed. Based on the results of testing, the advantages and disadvantages of applying the algorithm of the multi-criteria modeling in sustainable development management are identified, the directions for the model using in regional management are disclosed.

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