A Set of Utility Functions

Nine approximation points are used: $yk[i]=0.25*i,\ i=0,...,8$. Four utility functions are available. They differ at the approximation points. They represent different persons.

prudent person

: $f[0]=0.0,\ f[1]=0.3,\ f[2]=0.5,\ f[3]=0.7,\ f[4]=0.8,\ f[5]=0.85,\ f[6]=0.9,\ f[7]=0.95,\ f[8]=1.0$,

risky person

: $f[0]=0.0,\ f[1]=0.1,\ f[2]=0.2,\ f[3]=0.25,\ f[4]=0.3,\ f[5]=0.4,\ f[6]=0.7,\ f[7]=0.9,\ f[8]=1.0$,

rich person

: $f[0]=0.0,\ f[1]=0.125,\ f[2]=0.25,\ f[3]=0.325,\ f[4]=0.5,\ f[5]=0.625,\ f[6]=0.75,\ f[7]=0.875,\ f[8]=1.0$,

average person

$f[0]=0.0,\ f[1]=0.1,\ f[2]=0.2,\ f[3]=0.25,\ f[4]=0.5,\ f[5]=0.7,\ f[6]=0.85,\ f[7]=0.95,\ f[8]=1.0$.

Users select one of them.