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**:** 2015
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**:** 55
**:** . ., . ., . ., / . 55. .: , 2015. .160-184.

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** (.):** sustainable development, mathematical model, dynamic systems, anthropogenic impacts

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** (.):** We briefly survey the mathematical models of ecologicaleconomical and social-ecological-economical systems and introduce an approach to the problem of implementation of regional sustainable development, which is related to the game-theoretic philosophy, and consists in assigning quotas on anthropogenic impact. We consider a system as heterogenous one and suggest appropriate mathematical tools.

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