Is it true that for an expected utility maximizer to be a risk averter, his/her utility function

Question:

Is it true that for an expected utility maximizer to be a risk averter, his/her utility function should have a negative second derivative? Let u(x) = x for x ∈ [0,1], and u(x) = 1/2 + 1/2x for x ≥ 1. Graph this function. Is an EU maximizer with this utility function a risk averter? (Advice: Look up the definition of concavity.)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: