The analysis of the winning probability is crucial for studying the bidding equilibria and designing the mechanism of procurement Combinatorial Auctions (CAs), and it also provides the decision making support for bidders who are in commercial synergies surrounding.

The mathematics models of submarine′s coordinated stealthily attacking surface warship formation are given according to stochastic duel theory and the winning probability formulas of two-versus-two stochastic duel with searching are deduced using state transfer figure and the property of Laplace transformation.

The rules on setting the point of stop loss are discussed from the perspective of the quantitative relation between the winning percentage,the profit and loss ratio and the amount of stop loss in the thesis.

The duration of operation and the survival forces both of sides and win or defeat for a battle can be found out by the theory, but the win-probabilities both of sides can’t be worked out.