Before revision:  Simulation studies show that our new approaches significantly outperform a few practice-used variable selection methods  .
After revision:  Simulation studies show that our new approaches significantly outperform a few practice-used variable selection methods used in practice. The tools employed are concepts from cooperative game theory, and the results explore several novel features of the Shapley value. We even bridge the Shapley value and the Banzhaf value with binomial distributions .