**:** . .,

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

** :** , , ,

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

**:** - - , . .

** (.):** 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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