I am not a mathematician. As an engineer, I love math more than I know. I loved the way information was defined - pretty intuitive - inverse of log of probability. Of late, I was thinking about satisfaction from money. I had some observations. I want to know what mathematics calls such functions, if they are studied. --- My model: (could be wrong from psychological point of view but I am posting on sci.math, read on)
Money made at any instance is f0(t) Accumulated money so far is integration of f0(t), I write it f-1(t) Rate of money making is the differentiation of f0(t), I write it f1(t)
The more money one has, the more satisfied he is likely to be (Bill Gates foundation) The more money comes in at an instance, the greedier he is likely to be (Casino) The faster money one gets, the more overwhelmed he gets - and hence less greedy and so on
So, Satisfaction S(f0(x)) = (...f-2(t)*f0(t)*f2(t)...)/(...f-1(t)*f1(t)...) --- What is such an S(f0(x)) called in real math?