I don’t think that the intuition behind ‘curve fitting’ will actually get you the properties you want, at least for the formalizations I can think of.
How would you smooth out a curve that contains the St. Petersburg paradox? Simply saying to take the average of normal intuition and expected-value calculus (which you refer to as fanaticism) doesn’t help. EV calculus is claiming an infinity. I’m not aware of curve fitting approaches that give understandable curves when you mix infinite & finite values.
Plus, again, what dimensions are you even smoothing over?
I don’t think that the intuition behind ‘curve fitting’ will actually get you the properties you want, at least for the formalizations I can think of.
How would you smooth out a curve that contains the St. Petersburg paradox? Simply saying to take the average of normal intuition and expected-value calculus (which you refer to as fanaticism) doesn’t help. EV calculus is claiming an infinity. I’m not aware of curve fitting approaches that give understandable curves when you mix infinite & finite values.
Plus, again, what dimensions are you even smoothing over?
The curve is not measuring things in value but rather intuitive pull according to this data—simplicity trade-off!