I was trying to understand stochastic dominance when I came across this problem (Question 2). How do I show that the set of probability distributions that first/second-order stochastically dominate $p$ is closed and convex?

I have attempted to solve the set of FOSD is convex; but how do I show that the "limit" of probability distributions is also in the set (i.e. the set is closed)?

  • $\begingroup$ Please make your question selfcontained. $\endgroup$ Oct 12 at 22:19


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.

Browse other questions tagged or ask your own question.