Emission trading scheme was devised to lower the cost of achieving greenhouse gas emission reductions  emissions are reduced where it is cheapest and emission certificates are then traded to meet the nomial  targets for each participant. However, carbon markets, like other commodity markets, are volatile. Thy  react to stochastic "disequilibrium" spot prices, which may be affected by inadequate policies, speculations and bubbles. The market-based emission trading, therefore, does not necessarily minimize abatement cots  and achieve emission reduction goals. We introduce a basic stochastic trading model allowing analysisof  the robustness of emission reduction policies under irreversibility, asymmetric information and othermultiple anthropogenic and natural uncertainties. We illustrate functioning of the robust market with numerica results involving such countries as US, Australia, Canada, Japan, EU27, Russia, Ukraine, China. In particular we analyze if knowledge about uncertainties may affect portfolios of technological and trade policies an how  uncertainty characteristics may influence market prices and change the market structure.