1、We sometimes ignore the conditions of applying the backward induction.

2、This is the so-called backward induction paradox.

3、Using backward induction method, we find the equilibrium solutions to the model.

4、The backward induction is an important reasoning method in game theory.

5、Dominated thinking for example, backward induction, Nash equilibrium, evolutionary stability, commitment, credibility, asymmetric information, adverse selection and so on.

6、Then the perfect Bayesian equilibrium of the game model in the form of a proposition is given, and the proposition is proved in detail by backward induction.

7、We build one single price trading model of second-Hand car, and by using Bayes formula, mathematicl expectation, and backward induction ect, we get the quilibrium Solution of the model.