Let's fill in this payoff matrix with what will happen if each restaurant doesn't clean does clean or if one cleans and the other doesn't. So personally I draw my payoff matrices with this diagnosed slash this lower left part is pointing towards the guy on the left and this upper right part is pointing up to the guy on top. So with that clear, we're told that first. Initially each restaurant, each dirty restaurant is making $7,000 a year. So Right now B. is experiencing a payoff of 7000 and a is experiencing a payoff of 7000. If they both clean their restaurants, they will have to spend a lot of money on it and it will cost them each A lot of money. So they'll each be making only 5000 in profits if they both choose to clean. Now, if one cleans and the other doesn't. The clean restaurant will end up with a $12,000 profit And the not so clean restaurant will lose $3,000 in profit, which sounds like it will total to them $4,000 in profit. So now we start to ask, ask the question, what is each player's dominant strategy. Yeah, let's start with restaurant A Now restaurant A will make a certain decision if restaurant be chooses to not clean and they will make a certain decision if they choose to clean. If restaurant be chooses to not clean, Then restaurant a could either get 7000 from also not cleaning Or 12,000 from cleaning. So they will choose clean. In this case, If restaurant be chooses to clean, then restaurants would get 4000 from not cleaning or 5000 from cleaning. So in this case they will also choose to clean. So we would say that the restaurant A has a dominant strategy no matter which option restaurant be chooses, they are better off cleaning. And because this is perfectly symmetrical, we would say that restaurant beat restaurant be also has a dominant strategy. They will choose clean regardless of what restaurant A chooses. Because both restaurants have a dominant strategy, they will both pick their dominant strategy and the outcome of the game will be that they both clean up their restaurants notice how they actually are making less profit here than they would be if they both chosen to not clean but based on how the game works. This will be the equilibrium, so to speak. It will be the resting point after the game is played. Now if this game is played repeatedly, eventually the two restaurants might have a conversation with each other and agree to make the not queen decision. So if the game is played multiple times, there is greater chance for collusion and cooperation. And if the restaurants are set on cooperating than they will eventually reach this point where they both do not clean and they both have higher profits. Finally we are asked what will happen if these upper right and lower left outcomes Only give $6,000 to the cleaner restaurant. Well let's erase our whiteboard and redraw our payoff matrix. Okay? We have redrawn our payoff matrix and we will say that once again the not clean, not clean and clean, clean outcomes are the same. But now if one restaurant chooses to clean And the other chooses to not clean, the cleaner restaurant will end up with profits of only $6,000. The less clean restaurant will still end up with profits of only 4000. So here again that is 6000 And 4000 for the not clean restaurant. Now let's take another look to see what the strategy for each player is for player A. If player B chooses to not clean, then they are better off choosing to also not clean. On the other hand, if player B chooses to clean between these two options, they are better off choosing to also clean. Yeah, we can also look at the outcomes for player B. If player A chooses to not clean, then they have these two options and they will choose to also not clean. If player A chooses to clean then they will have these two options and they will choose to clean. In this instance there isn't as clear of a dominant strategy. In fact neither player has a strictly dominant strategy. They will tend towards this outcome because this outcome still has a higher expected value. If the game is played once, it will tend towards this outcome and if the game is played multiple times, it will also tend towards the outcome of both, not cleaning.