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Such a belief is based on the shape of utility functions, shown in (8)–(11).
Although the origin and scale of our utility functions were arbitrary, the shape of utility functions measured under risk is unique (defined up to a positive affine transformation) [ 3, 4].
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Figure 2 Shape of the utility as a function of the Shannon capacity (α ≫ 1).
The shape of this utility function defines the web browsing service not as restrictive as FTP.
Of course, by assuming the Cobb-Douglas shape of the utility function, we constrained the scope of adjustments in the overall lifetime labor supply.
Thus, it is necessary to scale up payoffs to allow for a wider range of dollar amounts, providing more information on the shape of the utility function.
The specific shape of our utility function (10) is actually immaterial and was chosen to ensure fast convergence of the iterative algorithm that will be introduced later on.
where α is a parameter dictating the shape of the utility function, and ω k represents the weight of service k.
We remark that the boundary curve has periodical pikes that can be explained by the shape of the utility u k (α k,α −k ) as function of (α k,α −k ).
In this study, the dopamine reward responses were directly related to the shape of the utility function defined from risky choices.
Therefore, an accepted test for the shape of measured utility functions is to investigate how well they can predict risky choices [ 24, 29].
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