- #1
ctownballer03
- 8
- 0
1: If u: omega---> reals is a Von Neumann Morganstern Utiliy function and L is a lottery, prove that expectation E is "linear" ie: E(Au(L)+B)=AEu(L)+B2. Given none:
I found in a book that if E[v(c)]=v(E[c]) the person is risk netural and they're risk neutral iff VNM Utility function is linear.
I'm really grasping at straws here though.
Here is where I've found my information, but I haven't been able to translate anything into a formal proof.
https://www.princeton.edu/~dixitak/Teaching/EconomicsOfUncertainty/Slides&Notes/Notes03.pdf
http://web.stanford.edu/~jdlevin/Econ 202/Uncertainty.pdf
and finally this book which seems to be the best (see theorem 3.9.1)
http://books.google.com/books?id=nv...orgenstern utility function is linear&f=false
I would love a shove in the right direction. thx
[/B]
The Attempt at a Solution
: My attempt at a solution has gone nowhere. I found a stanford and princeton game theory notes that went into it, but I could exactly follow.I found in a book that if E[v(c)]=v(E[c]) the person is risk netural and they're risk neutral iff VNM Utility function is linear.
I'm really grasping at straws here though.
Here is where I've found my information, but I haven't been able to translate anything into a formal proof.
https://www.princeton.edu/~dixitak/Teaching/EconomicsOfUncertainty/Slides&Notes/Notes03.pdf
http://web.stanford.edu/~jdlevin/Econ 202/Uncertainty.pdf
and finally this book which seems to be the best (see theorem 3.9.1)
http://books.google.com/books?id=nv...orgenstern utility function is linear&f=false
I would love a shove in the right direction. thx
[/B]