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OperatingCost<br />
ProdRate<br />
DevelCost<br />
PSCShare<br />
Using Utilities<br />
80 100 120 140 160 180 200 220<br />
Figure 19<br />
<strong>DPL</strong> allows for a very simple means of using a utility function to model risk attitudes.<br />
The Strenlar case is a good example of how the risk attitude as modeled by an utility<br />
function can influence the decision making process.<br />
♦ Open the Strenlar1.da file and run the analysis. We get the Policy Tree shown in<br />
Figure 20 that indicates that the optimal alternative for Mr. X is the riskier of<br />
developing the product on his own.<br />
Strenlar_Decision<br />
[3632]<br />
Develop<br />
Lawsuit<br />
[3632]<br />
-200<br />
Technology<br />
Salary [2017.95]<br />
Technology<br />
Cash_Offer [1004.88]<br />
Figure 20<br />
♦ Now suppose Mr. X is risk averse. A good model for this behavior is an<br />
exponential utility function, which can be totally defined by Mr. X risk tolerance,<br />
which we will assume to be 500.<br />
♦ On the pull down menu, go to “Model/Risk Tolerance” and enter the value of 500.<br />
♦ Run the analysis again. We now get a Policy Tree (Figure 21) that clearly<br />
indicates that given that Mr. X is somewhat risk averse, the optimal course of<br />
action in this case is to go with the less risky alternative of accepting a salary in<br />
the firm plus royalties.<br />
21