1. If you are playing the Price Formation trading simulation and you have the right to trade with limit orders but you do not have access to the private information signal, what is your optimal strategy? In particular:

   1. What should you do with your limit orders if buy and sell orders are coming in randomly?

   2. What should you do with your limit orders if you see 5 buy orders in a row?

   3. What should you do with your limit orders if you notice that you are accumulating a large short position in the shares?