The decision maker ranks lotteries according to the utility function
(i) State the independence assumption. Does this decision maker satisfy it?
(ii) Is this decision maker risk averse? Does she satisfy decreasing risk aversion?
(iii) The decision maker has wealth w > 500 and is just indi?erent between accepting and rejecting a lottery that gives her an equal chance of winning 1000 and losing 500. What is the wealth of the decision maker?