Changes

First, note that <math>B>C</math>. AlgebraicallyWithin the algebra, this flows naturally from note that the utilities are identical except for the fact that exponents. Because <math>\sum_{i\neq j} z(e_{j})+z-1>\sum_{i\neq j} z(e_{j})</math>, we know that the inequality always holds. IntuitionAs for the intuition: Note that the lotteries are identical except iffor the payoff in <math>\frac{1}{N}</math> of the time. If he works, this value is higher, so he prefers to work.  With regards to <math>A>C</math>,