Syahmi and Kevin are roommates. Each of them prefers a clean room to a dirty room, but neither likes to clean the room. If both clean the room, they each get a payoff of 5. If one cleans and the other doesn’t clean the room, the person who does the cleaning has a utility of 0, and the person who doesn’t clean the room has a utility of 8. If neither cleans the room, the room stays a mess, and each has a utility of 1. a) Draw the extensive form and normal form representations of this game. What is
the dominant strategy solution for this game? What is the Nash equilibrium?
b) Is it correct to say that every Nash equilibrium must necessarily also be a dominant
strategy?

In the 10th grade, i was teamed up in a group of four. our project was on modern history. altho it seemed super hard for many of us. patrick fleming  took charge and showed us the understanding of this project.  his leadership showed great ethics and it taught me, personally, how to others understand, not just to show them, but explain it thoroughly. and altho he was a great teacher i would have changed a few things. one being his attitude. many times he would get frustrated and impatient with the group.  i think  a leader i would have done exactly  what he did but with much more patience and be there more to explain. such as lunch  learning. and giving everybody a chance to try to explain it in their  head.