if i let Suppose a two-player zero-sum game has the following matrix:
A1 =
a b
c d
then calculate e2TA1e1 = c
Then if I let A2 =
a+k b+k
c+k d+k
then e2TA2e1 = c+k
but I have no idea if this is right or what to do next
Hi
I have just started a game theory module and have been given the following exercise. Can anyone help me with the following question. I have a feeling I can use a minimax argument to answer this but I am not sure how to go about this.
Suppose a two-player zero-sum game has the following...
Homework Statement
The RV X has parameter p>0 and distribution:
fX(x) = pxe-px for x \geq 0 and is 0 otherwise
(The subscript X is a capital letter, as is the X mentioned below in the e4X)
If we are to consider the RV D= e4X, determine the range and distribution fD(d)
Homework...
Homework Statement
Using the Newton raphson method with x0=6, find the root of x2- 2 to 3dp.
Then estimate the number of iterations the bisection method that would be required to achieve the same accuracy.
Homework Equations
The Attempt at a Solution
I have done the first...
ok I'm not entirely sure either if I'm honest but let me try and explain using an example:
If i find that the binary form of x= 2/7 to be: 0.0101001001...
which when normalised becomes: (1.001001001...)x 2^-2
its the last line, that i do not know how to derive
Homework Statement
Find the binary form of x= 7/10
Suppose that the number x= 7/10 is to be stored in a 32-bit computer, find the nearby machine numbers x_ and x+
Homework Equations
The Attempt at a Solution
I have found that 7/10 in binary form is: 0.101100110011001100...
Hi this is just a general question about using the ratio test for convergence.
If I have to carry out the test to find out if something converges (and I don't need to find out if its absolutely converges, but just convergence), then can my answer to the test be negative?
Or does the...
Homework Statement
Bessel's funtion J0(x) is assumed to have a root near x=5. Use the Newton raphson method to find this root to 3 decimal places by taking the first 4 terms of the series.
I have found this link which helps me solve the question:
http://www.vibrationdata.com/Newrap.pdf...
Homework Statement
Use the taylor's expansion of f(x)= x1/4 about x= 16 to estimate (16.1)1/4
Homework Equations
Taylors formula: f(a) + f'(a) (x-a) + (f''(a)/2!) (x-a)2+...The Attempt at a Solution
Ok I have calculate the taylor expansion to be: 2 + (1/32) (x-16)-(3/320) (x-16)2+ (7/262144)...
Homework Statement
Assuming that (ex)’ = (ex) at all point x, prove that ec
= sinh(1) for some point C \in (-1,1). Give the full proof.
Homework Equations
The Attempt at a Solution
I honestly don't know how to attempt this. i can show that (ex)’ = (ex) by:
(ex) = 1 + x + x2/2! + x3/3! +...
thanks so much for your help but I still can't get it to work! I really find Matlab difficult and have virtually got every single book the library has to help me!
Ive tried fiddling around with my m-file but to no luck!
When i want to find B(2,3) and B(3,4) using ny m-file, i just get an...
I have a function
B(m,n) = Integration of this between 1 and 0 (x.^m-1).*((1-x).^n-1)
For my m file i have
function Beta = B(m,n)
x=quad('@B',0,1);
Beta=(x.^m-1).*((1-x).^n-1);
however when i run my m-file it doesn't work. Can anybody help me please