Assignment:
Q1. Give an example of a monotonic game that is not 0-monotonic.
Q2. Show that a simple, constant-sum game need not be 0-monotonic.
Q3. Prove that every convex game is 0-monotonic.
Q4. Show that every null player is a dummy player, but there are dummy players that are not null players.
Provide complete and step by step solution for the question and show calculations and use formulas.