As a result of the global warming the situation in the Barents Sea leads to several important consequences. Firstly, oil and gas drilling becomes much easier than before. Therefore, it can lead to discussions on disputed shelf zones where the deposits are located, especially near to Norway-Russia sea border. Secondly, oil and gas excavation leads to potential threats to fishing by changing natural habitats, which in turn can create serious damage to the economics. In this work, we constructed a model, which helps to highlight potential conflict areas, analyze preferences of the countries interested in fossil fuels and fish resources. As a result, we hope, that our model will reveal potential conflicts zones.