Abstract: In regional exploitation industry of exhaustible resources, that, the incomplete implementation of Mining supervision and the limited extent of mining policy enforcement, often promoted games between small or medium-sized mining enterprises and Government.Based on the resulting negative externalities, this paper analyzed the efficiency functions of mine owners and the extraction upper limit when game happened.As mine owners’ decision-making on a prerequisite of subjective value of expected, the paper developed a "level mark" reference point of extraction upper limit and studied a restrictive mechanism by the use of the theory of "prospect theory" and Bayesian.Then by analyzing mine owners’ subjective expected utility for his each strategy, the paper concluded that Government tended to be game dominant and mining supervision be Pareto Efficiency under the restraint of Bayesian risk-cost induced mechanism, which will play a theoretical reference function in formulating energy resources exploitation policies.