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PROFESSOR: Everyone seems to be here. At least all the seats are filled up, so why don't we begin. One thing that I did finally, to be specific, I told you that we would have three quizzes and that they would be uniformly spaced one third, and 2/3 and 2.89 thirds of the way through the term. And I figured out where those dates would be. So since I have them, let me give you the date. So Quiz 1 is going to be on Thursday, October 6. Quiz 2 will be on Tuesday, November 8, and Quiz 3 will be on Thursday, December 8. And this, as advertised, is exactly one third of the way through the lectures. This is exactly 2/3 of the way through the lectures, and this is the next to the last meeting that we'll have. This is the week before the final week of the terms. so I deliberately kept it a little bit away from the usual end-of-term crunch. Being person who is sensitive to symmetry and order, I find it highly regrettable that we cannot have the quiz on October 8. Then you wou...

the somehow seems pretty appropriate to finish uh this series with a little well a little bit of serious fun I guess you could say um and uh I'm going to pick because it's the one topic Within game theory that's manageable and beautiful two person games so there are two opponents no coalitions if we have seven a seveners game then one group can form a team and go against another group and and uh it becomes very complicated and also the game will be Zero Sum whatever the two players we might as well call them R for the person who's going to choose a row and C for the person who's going to choose a column so I have a matrix I start with the the payoff Matrix let me let me take an example example that's 2x two just to explain the rules so maybe the entries are 1 2 4 and 7 okay so R the person who all the this R chooses a row C chooses a column that identifies a number and that's the payoff to R so whatever uh so so if so R chooses row I C chooses ...