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1.) Consider 3x3 game given by the following matrix
P2
L
M
R
P1
U
7,6
3,0
6,5
C
1,3
4,4
0,2
D
8,7
2,1
5,8
a) Does IESDS reduce the game? Does it reduce it to a single pair of strategies? Why or why not?
b) Does Nash equilibrium exist? If yes find it.
c) What can you conclude from a) and b)?
d) Can this situation occur in 2x2 games? Justify?
Calculate the area, with the appropriate number of significant
1. data from a national health survey show that mens average weight is normally distributed with a mean of 172 pounds
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Cancer deaths: Suppose for a set of counties i ∈ {1,..., n} we have information on the population size. Identify the posterior distribution of θ given data (Y1,.X1),...., (Yn, Xn) and a gamma(a, b) prior distribution.
A total of 722 tickets were sold for the school play. They were either adult tickets or student tickets. There were 72 more student tickets sold than adult tickets. How many adult tickets were sold?
List the elements in A U B U C. (they are suppossed to be upside down U"s ) State A U (B U C). (the U in between the b, c is the wrong way).
Find the slope and the line through the points (2,8) and (7,3). Find the slope and the y-intercept of the line 9x + 3y =81. On Friday, Shawn drove to the lake in 45 minutes. On Sunday he returned up in 9 less minutes and averaged 12 more miles per h..
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Find the function for the quadratic model that gives the profit in thousand dollars, where t is the ticket price in dollars, with data from 200 ? t ? 450. (Round all numerical values to three decimal places.)
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