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A Brief DPL Tutorial

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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

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