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As we don't know her utility function, we don't know exactly Jane's certain equivalent for the deal like we do in the cases of Macy

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As we don't know her utility function, we don't know exactly Jane's certain equivalent for the deal like we do in the cases of Macy and Theodore. But what can we say about the range of her certain equivalent (choose one of the options below)? Explain why (Hint: you need to find her expected u-value for Deal A first and then deduce the range for her CE from the above table). i. Between $10 and $30 ii. Between $30 and $50 ili. Between $50 and $100 iv. Over $100 h) Three of them is now facing another deal (Deal B). Deal B Dollar Value $50 0.3 $20 0.2 $10 0.5 Find the (range of) certain equivalent for Macy, Theodore, and Jane for the new deal. i) Among the two deals (A and B), what is the best deal for Macy, Theodore and Jane, respectively? j) Suppose their parents decide to give them $23 with the condition that they have to give up any deal they chose above (let's call it Deal C). Who among them should walk away with $23? k) Draw a decision tree which characterizes the decision situations Macy was facing (see Figure 10.15/pg. 208 in the textbook for reference)

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