Do it within $15$ min....

Jesse and Walt are considering going in together on the purchase of a new RV$.$ If they buy the RV$,$ then they will each have equal access to it$.$ Jesse's reservation value of the RV is $$17000.$ Walt's reservation value is $$19000.$

Suppose the RV is priced at $$29000.$ In which of the following cases will Jesse and Walt buy the RV$?$

Choose one or more:

A$.$Jesse reports his reservation value truthfully, but Walt free rides on Jesse and does not report truthfully.

B$.$Both Jesse and Walt both truthfully reveal their reservation values.

C$.$Both Walt and Jesse attempt to free ride on the other, and neither reports his reservation value truthfully.

D$.$Walt reports his reservation value truthfully, but Jesse free rides on Walt and does not report truthfully.

Now suppose the price of the RV is $$14500.$ In which of the following cases will Jesse and Walt buy the RV$?$

Choose one or more:

A$.$Jesse reports his reservation value truthfully, but Walt free rides on Jesse and does not report truthfully.

B$.$Both Walt and Jesse attempt to free ride on the other, and neither reports his reservation value truthfully.

C$.$Walt reports his reservation value truthfully, but Jesse free rides on Walt and does not report truthfully.

D$.$Both Jesse and Walt truthfully reveal their reservation values.